Please answer this multiple choice question !! Thank u !! Will give brainliest!!

Please Answer This Multiple Choice Question !! Thank U !! Will Give Brainliest!!

Answers

Answer 1

Answer:

B: 3/2x - 7 + 3 = 0

Step-by-step explanation:

Answer 2

Answer: C

Step-by-step explanation:

General form is in Ax+By+C. To do this, you move everything onto one side.

[tex]\frac{3}{2}x -y+3=0[/tex]

This should be the general form, but this is not correct in these answer choices! Let's try this another way to get Ax+By+C by making Ax not a fraction.

[tex]y=\frac{3}{2} x-3[/tex]

[tex]y+3=\frac{3}{2} x[/tex]

[tex]2(y+3)=3x[/tex]

[tex]2y+6=3x[/tex]

[tex]3x-2y-6=0[/tex]

This may seem incorrect, but we can always check our answer by plugging in numbers.

In our slope intercept form, let's say x=2. What would be our y?

[tex]y=\frac{3}{2} (2)-3[/tex]

[tex]y=3-3[/tex]

[tex]y=0[/tex]

Now we know our coordinates should be (2, 0). When we rewrite the slope-intercept form, we should still get 0 when we plug in x=2 and y=0. Let's check on all answer choices to see which one works.

A. Correct

-3(2)+2(0)+6

-6-6=0

0=0

B. Incorrect

3/2(2)-(0)+3

3+3=6

6≠0

C. Correct

3(2)-2(0)-6

6-6=0

0=0

D. Incorrect; not general form

2(0)=3(2)-6

0=6-6

Now, you can see that A and C are both correct, but the main difference, is that you want to make A positive. The only option where A is positive is in answer C.


Related Questions

if you have a population of 40million people and 2million of them are from out of town. what percentage of them are out of towners??​

Answers

Answer:

5%

Step-by-step explanation:

There are 2000000 people out of town and 4000000 people in total.

Solution for 2000000 is what percent of 40000000:

2000000:40000000*100 =

(2000000*100):40000000 =  

200000000:40000000 = 5

Now we have: 2000000 is what percent of 40000000 = 5  

Question: 2000000 is what percent of 40000000?

Percentage solution with steps:

Step 1: We make the assumption that 40000000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100%= 40000000.

Step 4: In the same vein, x%=2000000.

Step 5: This gives us a pair of simple equations:

100%=40000000(1).

x%=2000000(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x%=40000000/2000000

Step 7: Taking the inverse (or reciprocal) of both sides.

⇒ x=5%

Therefore, 2000000 is 5% of 40000000.

I hope that answers your question and plz mark me brainliest!

Jack has a summer job caddying at a golf course. Jack earns $120
a week. By rounding his weekly income to the nearest hundred
dollars, find a reasonable estimate for his total income during the
12 week summer.

A) $700
B) $800
C) $1200
D) $1700

Answers

1200 as you would round it down to 100 a week so you would do 100x12

if the base of a right angled triangle is 4cm and its area is 20^2, find its height

Answers

Answer:

80cm

Step-by-step explanation:

i worked it out like this

2x4=8

then that means

20x4=80

Answer:

80 is the answer

Macy spent 2 hours working on homework. She spent 1/4
of that time working on math.
How much time did Macy spend on her math homework?

Answers

Answer:

1/2 h or 30 min

Step-by-step explanation:

2 h * 1/4 = 2/4 = 1/2 h or 30 min

The Wechsler Adult Intelligence Scale (IQ test) is constructed so that Full Scale IQ scores follow a normal distribution, with a mean of 100, and a standard deviation of 15. The mayor of Smart Town believes the county’s residents are smarter than the national average and wants to use it (the intelligence of the residents) as a marketing tool to bring industries to the area. A researcher is hired to conduct a study to determine whether Smart County’s residents have, on average, higher Full Scale IQs than the population. A random sample of 100 people from Smart County were given the IQ test and were found to have an average Full Scale IQ of 105. After analyzing the data to determine whether the mean Full Scale IQ score of the Smart County residents is higher than the national average, the p-value of 0.0004 was obtained. Using a 0.05 significance level, what conclusion can be drawn from the data?

Answers

Answer:

Step-by-step explanation:

Hello!

The variable "X: Full scale IQ score of an adult" follows a normal distribution with mean μ= 100 and standard deviation σ= 15

The claim is that the county's residents are smarter than the national average, symbolically: μ > 100

To test this a researcher took a sample of n=100 residents that took the test and recorded an average of X[bar]= 105

The hypotheses are:

H₀: μ ≤ 100

H₁: μ > 100

α: 0.05

p-value: 0.0004

Using the p-value approach, the decision rule is as follows:

p-value ≤ α, reject the null hypothesis.

p-value > α, do not reject the null hypothesis.

The p-value is less than the significance level so the decision is to reject the null hypothesis.

At a 5% significance level, you can conclude that the average full-scale IQ score of the Smart County residents is higher than the national average.

I hope this helps!

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Answers

Answer:221.69952 cm^2

Solution,

Diameter=16.8 cm

Radius=16.8/2=8.4 cm

Area of circle=pi r^2

= 3.142*(8.4)^2

=3.142*70.56

=221.69952 cm^2

hope it helps

Good luck on your assignment

A poll of a random sample of1400 adults reported that respondents slept an average of 6.5 hours on weekdays and 7.2 hours on​ weekends, and that 20% of respondents got eight or more hours of sleep on​ weekdays, whereas 43% got eight or more hours of sleep on weekends. To compare the means or the percentages using inferential​ methods, should you treat the samples on weekdays and weekends as independent samples or as dependent​samples?
A. Independent Samples
B. Dependent Samples

Answers

Answer:

b) Dependent sample

Step-by-step explanation:

Given:

Sample size, n = 1400

The average sleep of the respondents in weekdays = 6.5 hours

The average sleep of the respondents in weekends = 7.2 hours

% with eight or more hours of sleep on​ weekdays = 20%

% with eight or more hours of sleep on​ weekends = 43%

Required: To Check if the samples on weekdays and weekends are independent or dependent.

When samples are independent, it means one sample does not influence the other and vice versa, while samples are said to be dependent if the outcome of one test influences the outcome of the other. The tests might be from a similar population or from various populations.

In this case, the sample gathered are from similar population because same sample is used for both weekdays and weekends. Therefore, we can say the sample is a paired sample.

The samples on weekdays and weekends are dependent since same people are used, also since sleep on weekdays and sleep on weekends may influence each other.

The formula for the perimeter of a rectangle is p = 2 l + 2 w. Which is the equivalent equation solved for w? StartFraction P minus 2 l Over 2 EndFraction = w StartFraction P + 2 l Over 2 EndFraction = w P + l = w P minus l = w

Answers

Answer:

Correct option: first one

"StartFraction P minus 2 l Over 2 EndFraction = w"

Step-by-step explanation:

First we start from the perimeter equation:

P = 2*l + 2*w

Then, we need to solve for w, so we need to isolate it.

The first step is subtracting 2*l from both sides of the equation:

P - 2*l = 2*w

Then, we divide both sides by 2:

w = (P - 2l) / 2

So the correct option is the first one:

"StartFraction P minus 2 l Over 2 EndFraction = w"

Answer:

Its the first one

Step-by-step explanation:

i got it right on edge

What is the volume of the sphere in the diagram? with a diameter of 3

Answers

Answer:

Given diameter: r = d / 2 , Given area: r = √[A / (4 * π)] , Given volume: r = ³√[3 * V / (4 * π)] , Given surface to volume ratio: r = 3 / (A/V) .

Step-by-step explanation:

So, do that!

Answer:

36pi

Step-by-step explanation:

i already did it and it was correct.


Which of the following is a polynomial function in factored form with zeros at –6, –2, and 3?


f(x) = (x – 6)(x – 2)(x + 3)


f(x) = (x + 6)(x + 2)(x – 3)


f(x) = x3 + 5x2 – 12x – 36


f(x) = x3 – 5x2 – 12x + 36

Answers

Answer:

(b)

Step-by-step explanation:

You can clearly see that putting each factor equal to 0 , we get -6 , -2 , 3

A researcher is interested in determining the average number of years new teachers remain in the classroom. If past information shows a standard deviation of 5 years, what size sample should be taken so that at 95% confidence the margin of error will be 6 months or less?

Answers

Answer: 385

Given: error: 6 months, standard deviation = 5 years is 60 months

Step 1: find the minimal sample size ‘n’ for 95% confidence interval

1-0.95= 0.05

0.05/2= 0.025

Step 2:
1-0.025= 0.975

View attachment for more steps

Antonio has a CD-player that holds six CDs. He puts six different
CDs in the player and the CD player randomly plays a song from
any of the CDs. What is the probability that the CD player will
play the first song from the first CD and the first song from the
sixth CD?

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 CD

P( song from 6th ) = number of CD's that are 6th/ total

                                = 1/6

The factor tree below provides the factors of 18. A factor tree of 18. 18 branches to 2 and 9. 9 branches to 3 and 3. What is the prime factorization of 18? 2 times 3 2 times 9 2 times 3 times 3 2 times 3 times 9

Answers

Answer:

the prime factorization of 18 is 2 times 3 and 1 time two

Step-by-step explanation:

Factorization refers to the process by which we decompose a number in its prime factors, in other words, we express the number as a multiplication of prime numbers.

In this case we have the number 18:

18= 9 x 2, however, 9 is not a prime number so we are going to factor the 9.

18= 3 x 3 x 2.

Now we see that all our factors are prime and thus this is the factorization of 18.

Thus, the prime factorization of 18 is 2 times 3 and 1 time two

Answer:

A

enginuity2020

.I am going to buy 2 kilos of oranges. A kilo of oranges is 1,5 TL. How much will I pay

Answers

Answer:

The amount to be paid for 2 kilograms of oranges is 3.0 TL.

Step-by-step explanation:

The total amount of oranges to be bought is, Q = 2 kilograms.

The cost of 1 kilogram of oranges is, C = 1.5 TL.

Compute the cost of 2 kilograms of oranges as follows:

Total cost = Q × C

                [tex]=2\times 1.5\ \text{TL}\\\\=3.0\ \text{TL}[/tex]

Thus, the amount to be paid for 2 kilograms of oranges is 3.0 TL.

A company produces steel rods. The lengths of all their steel rods are normally distributed with a mean of 155.1-cm and a standard deviation of 2.2-cm. For shipment, 11 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm.

Answers

Answer:

The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm

P(155.6 < x⁻ < 156.2) = 0.174 cm

Step-by-step explanation:

Given sample size 'n' = 11 steel rods

Mean of the Population = 155.1 cm

Standard deviation of the Population = 2.2 cm

Given x⁻ be the random variable of Normal distribution

Let x₁⁻ =  155.6 cm

[tex]Z_{1} = \frac{x^{-} _{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{155.6-155.1}{\frac{2.2}{\sqrt{11} } } = 0.7541[/tex]

Let  x₂⁻ =  156.2 cm

[tex]Z_{2} = \frac{x^{-} _{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{156.2-155.1}{\frac{2.2}{\sqrt{11} } } = 1.659[/tex]

The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm.

P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)

                       = P(Z <Z₂) - P(Z<Z₁)

                      = 0.5 +A(1.629) - (0.5 +A(0.7541)

                      = A(1.629) - A(0.7541)

                      = 0.4474 - 0.2734

                      = 0.174

Conclusion:-

The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm = 0.174

I need help please.

Answers

Answer:

  ∠W = 81°

Step-by-step explanation:

Triangle OGD is isosceles, so angle OGD has the same measure as angle ODG, 17°.

Triangle OGF is isosceles, so angle OGF has the same measure as angle OFG, 49°.

Angle DGF is the difference between angle OGF and angle OGD:

  ∠DGF = 49° -17° = 32°

External angle W is equal to the sum of remote internal angles DGF and OFG:

  ∠W = 32° +49°

  ∠W = 81°

A pile of earth removed from an excavation is a cone measuring 12 ft high and 30 ft across its base. How many trips will it take to haul away the


earth using a dump truck with a capacity of 9 cubic yards?


trips =

Answers

Answer:

12 trips

Step-by-step explanation:

Given;

Dimension of cone shapef pile of earth;

height h = 12 ft = 4 yards

diameter d = 30 ft = 10 yards

radius r = d/2 = 10/2 = 5 yards

The volume of a cone V;

V = (1/3)πr^2 h

Substituting the given values;

V = (1/3) ×π × 5^2 × 4 cubic yards

V = 104.72 cubic yards

Given that a dump truck have a capacity of 9 cubic yards.

Vc = 9 cubic yards

Number of trips it will take is;

N = Volume of earth pile/truck capacity

N = V/Vc

Substituting the values;

N = 104.72/9

N = 11.64

N ≈ 12 trips

Therefore, the truck will make 12 trips

I will give brainliest just please help
The equation ax2 + bx + c = 0 has no real solutions.
Which statement about the graph of f(x) = ax2 + bx + c could be true?

A. It could pass through the origin.
B. Its vertex could be at (–6, 0).
C. It could have a maximum at (–3, 2).
D. It could have a minimum at (0, 4).

Answers

Answer:

D. It could have a minimum at (0, 4).

Step-by-step explanation:

ax2 + bx + c = 0  has no real solutions, which means it does not touch the x axis

Since it points upwards, the vertex must be above the x axis

It will have a minimum since it opens upwards

A. It could pass through the origin.   False

B. Its vertex could be at (–6, 0).   False

C. It could have a maximum at (–3, 2).   False

D. It could have a minimum at (0, 4).  True

Linda earns $600 each week working her full time job. Her employer has a 16% tax deduction on all monies earned each week

Answers

Answer:

$504 a week

Step-by-step explanation:

Hand sanitizer containing 70% ethanol (HL+) is recommended to prevent the transmission of the rhinovirus (RV) that causes the common cold. A study with 212 subjects was conducted. Subjects were assigned at random to either the HL+ group, which used hand sanitizer after hand washing, or a control group, which did not use hand sanitizer after hand washing. The number of subjects with and without RV infection in the two groups over the ten week study are below. RV Infection Yes No HL+ Group 49 67 Control Group 49 47 (a) (2 points) Is this an experiment or observational study? Why? (b) (2 points) What is the response variable? Is it qualitative or quantitative? (c) (5 points) Does the data suggest that the RV infection rate of subjects using hand sanitizer is significantly (a = 0.05) lower? Perform the appropriate procedure and include all the steps. (d) (2 points) Construct and interpret a 95% confidence interval to estimate the difference between the two proportions.

Answers

Answer:

a) Experiment

b) Proportion of subjects infected. Quantitative

c) Null hypothesis failed to be rejected. P-value=0.101.

There is not enough evidence to support the claim that the RV infection rate of subjects using hand sanitizer is significantly lower.

d) The  95% confidence interval for the difference between proportions is (-0.223, 0.047).

As we can see, the value 0 (meaning no difference between the proportions) is included in the interval. This can be interpreted the sam wat that the hypothesis test: at 95% confidence, we can not assurre that there is significant difference between the proportions.

Step-by-step explanation:

a) This is an experiment, as the groups are designed by the researcher. The individuals are then asigned randomly to one of both groups.

b) The response variable is the proportion of subjects infected. This variable is quantitative, as is a sum of positive cases divided by the total amount of subjects in the group.

c) This is a hypothesis test for the difference between proportions.

The claim is that the RV infection rate of subjects using hand sanitizer is significantly lower.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

The significance level is 0.05.

The sample 1 (HL+ group), of size n1=116 has a proportion of p1=0.4224.

[tex]p_1=X_1/n_1=49/116=0.4224[/tex]

The sample 2 (Control group), of size n2=96 has a proportion of p2=0.5104.

[tex]p_2=X_2/n_2=49/96=0.5104[/tex]

The difference between proportions is (p1-p2)=-0.088.

[tex]p_d=p_1-p_2=0.4224-0.5104=-0.088[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{49+49}{116+96}=\dfrac{98}{212}=0.4623[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4623*0.5377}{116}+\dfrac{0.4623*0.5377}{96}}\\\\\\s_{p1-p2}=\sqrt{0.0021+0.0026}=\sqrt{0.0047}=0.0688[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.088-0}{0.0688}=\dfrac{-0.088}{0.0688}=-1.28[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]P-value=P(z<-1.28)=0.101[/tex]

As the P-value (0.101) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the RV infection rate of subjects using hand sanitizer is significantly lower.

d) We want to calculate the bounds of a 95% confidence interval.

For a 95% CI, the critical value for z is z=1.96.

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4623*0.5377}{116}+\dfrac{0.4623*0.5377}{96}}\\\\\\s_{p1-p2}=\sqrt{0.0021+0.0026}=\sqrt{0.0047}=0.0688[/tex]

Then, the margin of error is:

[tex]MOE=z \cdot s_{p1-p2}=1.96\cdot 0.0688=0.1348[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.088-0.1348=-0.223\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.088+0.1348=0.047[/tex]

The  95% confidence interval for the difference between proportions is (-0.223, 0.047).

As we can see, the value 0 (meaning no difference between the proportions) is included in the interval. This can be interpreted the sam wat that the hypothesis test: at 95% confidence, we can not assurre that there is significant difference between the proportions.

A construction company distributes its products by trucks loaded at its loading station. A backacter in conjunction with trucks are used for this purpose. If it was found out that on an average of 12 trucks per hour arrived and the average loading time was 3 minutes for each truck. A truck must queue until it is loaded. The backacter’s daily all-in rate is GH¢ 1000 and that of the truck is GH¢ 400.
a) Compute the operating characteristics: L, Lq, W, Wq, and P.

b) The company is considering replacing the backacter with a bigger one which will have an average service rate of 1.5 minutes to serve trucks waiting to have their schedules improved. As a manager, would you recommend the new backacter if the daily all-in rate is GH¢ 1300.

c) The site management is considering whether to deploy an extra backwater to assist the existing one. The daily all-in-rate and efficiency of the new backwater is assumed to be the same as that of the existing backwater. Should the additional backwater be deployed?

Answers

Answer:

a idk

Step-by-step explanation:

Solve the following equation, if possible, and determine the number of solutions.

6y+4−3y−7=3(y−1)

write one answer for the number of solutions, and write at least one answer that explains your answer for the number of solutions.

Answers

6y+4−3y−7=3(y−1)

Opening the bracket we notice that it will yield same thing for both sides of the equation.

There is only one way to solve the equation because it's clear that y = 0

So it's by opening the bracket.

So the value for y is equal to zero

of is directly proportional toy and x = 45 when
= 3, find
an equation connecting and
m) the value of x when y s6
me the value of when12
of is directly proportional to Pando = 28 when
P4​

Answers

Answer:

if x=ky, where k is constant.

value of x

45/3=k3/3

15=k, constant is 15

value of x when y =6

x=ky

x=15(6)

x=80

Find the domain of the graphed function.

Answers

Answer:

A

Step-by-step explanation:

(1 + 1 -2 +3) lllllllllllllllllllllllllllllllllllllll

Answers

Answer:

3

Step-by-step explanation:

1+1= 2 + -2=0 + 3 = 3

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex](1 + 1 -2 +3)[/tex]

[tex]1+1-2+3[/tex]

[tex]2+1[/tex]

[tex]=3[/tex]

A certain disease only affects men 20 years of age or older. The chart shows the probability that a man with the disease falls in the given age group. What is the probability that a randomly selected man with the disease is not between the ages of 55 and 64

Answers

Answer:

0.68

Explanation:

The question is incomplete without the tables. Find attached the table used in solving the question.

group 20-24 25-34 35-44 45-54 55-64 65-74 75+ respectively

Probability 0.004 0.006 0.14 0.29 0.32 0.17 respectively

This is a probability of complementary events. The sum of the two complementary events = 1

Hence, the probability of selecting a man with the disease that is not between the ages of 55 and 64 + the probability of selecting a man with the disease that is between the ages of 55 and 64 = 1

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1- probability of selecting a man with the disease is between the ages of 55 and 64

Let Pr(between 55 and 74) = probability of selecting a man with the disease is between the ages of 55 and 64

From the table, Pr(between 55 and 74) = 0.32

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1 - 0.32

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 0.68

Suppose a horse is galloping at 19 mph toward a clown, and the clown is racing toward the horse on an ATV which can sustain a speed of 15mph. They are 50 miles apart from one another and start at the exact same moment in time. How much time will it take for the horse and clown to collide?

Answers

Answer:

It will take 1.47 hours for the horse and clown to collide

Step-by-step explanation:

They are driving toward each other, in opposite directions.

So to find their speed of approximation, we add their speeds.

19 mph + 15 mph = 34 mph.

This means that each hour, they are 34 miles closer.

How long it takes for them to find each other if they are 50 miles apart?

1 hour - 34 miles

x hours - 50 miles

[tex]34x = 50[/tex]

[tex]x = \frac{50}{34}[/tex]

[tex]x = 1.47[/tex]

It will take 1.47 hours for the horse and clown to collide

G
What is the value of f(x) when X=-3?
f(x)=-2x-3
f-3)=

Answers

Answer:

f(-3)=3

Step-by-step explanation:

We know that f(x)=-2x-3. In order to find f(-3), we simply need to substitute x with -3.

Thus, we have:

=-2(-3)-3

=6-3

=3

Answer:

3

Step-by-step explanation:

f(x)=-2x-3

Let x=-3

f(-3)= -2(-3) -3

     = 6-3

    = 3

Boris is riding a ferris wheel at a carnival. After a time t, his height H above the ground is given by the following formula. H=a cos(bt)+c Find Boris's height above the ground when a=-15m,b=2.241 rad/s,t=3s, and c=23m

Answers

Answer:

Boris height above the ground is 9.428m

Step-by-step explanation:

Boris height above the ground is given by the formula;

H = a cos(bt) + c

Now, we are told that,

a = -15m

b = 2.241 rad/s

t = 3s

c = 23m

Plugging in the relevant values, we have;

H = -15 cos (2.241 * 3) + 23

H = -15 cos(6.723 rad) + 23

cos(6.723rad) = 0.9048

Thus,

H = (-15 × 0.9048) + 23

H = 9.428 m

So boris height above the ground is 9.428m

1. Sam deposits$700 in an investment saving account. The annual
interest rate is 4.5%/annually compounded monthly. Determine

the amount after 7 years.​

Answers

Answer:

The total amount in 7 years is: $958.62

Step-by-step explanation:

Recall the formula for compound interest:

[tex]A=P\,(1+\frac{r}{n} )^{n\,t}[/tex]

where:

A is the Accrued value (total in the account including accumulated interest), and in our case the unknown.

P is the Principal (amount initially deposited), and in our case $700.

r is the annual percent rate (but in decimal form) in our case 0.045

n is the number of compoundings done per year, and in our case 12 since it is compounded monthly

t is the time in years of the deposit.

Then the formula becomes:

[tex]A=P\,(1+\frac{r}{n} )^{n\,t}\\A=700\,(1+\frac{0.045}{12} )^{12\,*\,7}\\A=958.61657[/tex]

which can be rounded to the cents: $958.62

Other Questions
Graber Company had $130,000 in sales on account last year. The beginning accounts receivable balance was $18,000 and the ending accounts receivable balance was $12,000. The company's average collection period was closest to: Select one: a. 33.69 days b. 42.12 days c. 84.23 days d. 50.54 days In Sir Thomas Wyatt's "Whoso List to Hunt," the speaker eventually.Select the best answer from the choices provided.O A.finds the deer he is huntingB. gives up on the hunt and warns others not to hunt eitherOC.throws a party for all his friends and feeds them the deerD.decides that hunting is okay Which phrase provides the best context clue for the meaning of the word tabulate? Suppose the 8-year spot interest rate is 8 percent and the 4-year spot rate is 7 percent. The forecasted 2-year rate four years from now is 6.25 percent. What is the implied forward rate on a 2-year bond originating 6 years from now? {HINT: Under the expectations hypothesis, in equilibrium an investor with an 8-year holding period will be indifferent between investing in an 8-year bond or a combination of securities over the same period.} I need help on this. Marcelino Co.s March 31 inventory of raw materials is $80,000. Raw materials purchases in April are $500,000, and factory payroll cost in April is $363,000. Overhead costs incurred in April are: indirect materials, $50,000; indirect labor, $23,000; factory rent, $32,000; factory utilities, $19,000; and factory equipment depreciation, $51,000. The predetermined overhead rate is 50% of direct labor cost. Job 306 is sold for $635,000 cash in April. Costs of the three jobs worked on in April follow. Job 306 Job 307 Job 308 Balances on March 31 Direct materials $29,000 $35,000 Direct labor 20,000 18,000 Applied overhead 10,000 9,000 Costs during April Direct materials 135,000 220,000 $100,000 Direct labor 85,000 150,000 105,000 Applied overhead 42,500 75,000 52,500 Status on April 30 Finished (sold) Finished (unsold) In the process a. Prepare journal entries to record the transactions of Marcelino Company during the month of April. b. Calculate the total cost, and account classification for each job worked on during April. c. Prepare a schedule of cost of goods manufactured for Marcelino Company during the month of April. d. Calculate the gross profit on the sale of the job(s) during April. I do not know how to go at this question Halp!!!! 1. Who were the Indian National Congress and what did they do?2. What role did India play in WW1?3. What happened when India and Pakistan were partitioned? What were the consequences? Select the best answer to the questo3. Technician A says the four strokes of the four-stroke cycle are intake, compression, power, and exhaust Technician saya most engines rotate clockwise as viewed from the rear flywheel) end of the engine. Who is correct?A Nother Technician A noB. Both Technicians A and BC. Technician AOD. Technician Write a story on a walk with the tiger.please hurry up . Cheetahs, the fastest of the great cats, can reach 50.0 miles/hour in 2.22 s starting from rest. Assuming that they have constant acceleration throughout that time, find their acceleration in meters per second squared. Select and indicate the best answer from among the five answer choices: The word "exceed" appears underlined and boldfaced in line 10 of the passage. In the context in which it appears, "exceed" most nearly means: A outstrip B magnify C delimit D offset E supplant The group of polar bears that live along the eastern coast of Russiam3an organism.a community.an ecosystem.a population. Can you guys help me out, please How long the altitude of an equilateral triangle with side length 10cm Write down the 1st term in the sequence given by: T(n) = n2 + 3 Real Cool produces two different models of air conditioners. The company produces the mechanical systems in their components department. The mechanical systems are combined with the housing assembly in its finishing department. The activities, costs, and drivers associated with these two manufacturing processes and the production support process follow. (Round OH rate and cost per unit answers to 2 decimal places.)ProcessActivityOverhead CostDriverQuantityCompnentsChangeover$452,000Number of batches750Machining300,200Machine hours7,640Setups229,000Number of setups40$981,200FinishingWelding$180,100Welding hours3,600Inspecting231,000Number of inspextions850Rework81,250Rework orders210$472,350SupportPurchasing$136,500PUrchase orders480Providing space30,300Number of units4,500Providing utilities50,910Number of units4,500$227,710Additional production information concerning its two product lines follows.Model 145Model 212Units produced1,5003,000Welding hours1,4002,200Batches375375Number of inspections610340Machine hours2,2906,350Setups2020Rework orders80130Purchase orders320160Required:1. Using a plantwide overhead rate based on machine hours, compute the overhead cost per unit for each product line.2. Determine the total cost per unit for each products line if the direct labor and direct materials costs per unit are $220 for Model 145 and $150 for Model 212.3. Assume if the market price for Model 145 is $755 and the market price for Model 212 is $590, determine the profit or loss per unit for each model. 1 2 3 4 5 6 7 8 9 10 TIME REMAINING01:57:39A ball has a mass of 0.25 kg and is moving to the right at 1.0 m/s. It hits a ball of mass 0.15 kg that is initially at rest. After the collision, the 0.15 kg ball moves off to the right with a velocity of 0.75 m/s.What is the final velocity of the 0.25 kg ball?0.42 m/s to the right0.42 m/s to the left0.55 m/s to the right0.55 m/s to the left between 1227 and 1259 the Mongol rulers succeeded in capturing (egypt, iran, russia) and (arabia, india, korea) Why would Lincoln bring up the American Revolution in the Gettysburg Address?A. He was a historianB. He enjoyed learning about the American RevolutionC. He wanted to make the comparison between the Civil War and American Revolution & fighting for equalityD. He wanted to show the differences between both the Civil War and American Revolution