To go on a summer trip, Felipe borrows $200. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges sim
Interest at an annual rate of 2%.

Answers

Answer 1

Answer:

Step-by-step explanation:

A=P(1+rt)

A=200(1+.02(3))

A=200(1.06)

A=$212


Related Questions

the sum of a number and its inverse equals 3 29/52, write the mathematical expression​

Answers

Answer:

Step-by-step explanation:

The sum of a number and its inverse is 3 29/52. Find the number?

x+1/x=329/52

x+1/x-329/52=0

solve the fraction

(

using the quadratic formular

 

Answer:

Step-by-step explanation:

the yellow is the glow in the dark kind

The number of goats in a farm increases by 5 goats each year. If the farm has a population of 20 goats after the first year, and n denotes the number of years, which recursive equation gives the population of goats, , as a function of the year?

Answers

Answer:

f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2

(the > has a line under it)

Step-by-step explanation:

Answer:

f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2

Step-by-step explanation:

The other person left some numbers out.

a television Mark 1600 was sold for 1200 what percent discount was given on that television​

Answers

Answer:

25%

Step-by-step explanation:

Discount = 1600 - 1200 = 400

Percentage discount

[tex] = \frac{400}{1600} \times 100 \\ \\ = \frac{400}{16} \\ \\ = 25\%[/tex]

The radius of a circle is 6 in. Find the circumference to the nearest tenth.

Answers

Answer:

37.7

Step-by-step explanation:

The orginal answer is 37.699

But you want to round the tenth

So 9 to the 6 you want to rasie the score

6 turns into a 7 and the numbers behind it (9 and the other 9) turn into a zero

37.7 or 37.700

I am actually in 4th grade but anyway I need see ​

Answers

Sasha grew the most

An expression for the perimeter of the shape is below

Answers

Step-by-step explanation:

rewrite the expression in redical form x⅔

I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
Which pair of angles are Complementary Angles?

45 degrees and 95 degrees
or
38 degrees and 42 degrees
or
30 degrees and 51 degrees
or
63 degrees and 27 degrees

Answers

Answer:

63 degrees and 27 degrees

Step-by-step explanation:

Complementary angles are when two angles add to 90 degrees.

So, we can check if these pairs add up to 90 degrees.

45 + 95 = 140

38 + 42 = 80

30 + 51 = 81

63 + 27 = 90

The only pair of angles that are complementary is 63 degrees and 27 degrees.

In ΔDEF, f = 420 cm, e = 720 cm and ∠E=136°. Find all possible values of ∠F, to the nearest degree.

Answers

Answer:

24

Step-by-step explanation:

its correct -_-

Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?

Answers

answer is (4,8) or (-8,4)

Evaluate the expression (14 − 4)2 ÷ 10.

The value of the expression is value of

Answers

Answer:

2

Step-by-step explanation:

PEMDAS says to do the equations in parentheses first

(14-4) = 10

PEMDAS then says to do multiplication or division, whichever comes first in the equation, which is multiplication in this case

(10)2 = 20

20 ÷ 10 = 2

NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.7 hours. Your statistics class questions this claim. As a class, you randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly, what is the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less

Answers

Answer:

0.020

Step-by-step explanation:

Given that,

μ = 17,

σ = 0.7,

x¯ = 16.7 hours

n(number of batteries) = 30

To find,

The probability(e) by using μ\frac{σ}{[tex]\sqrt{n}[/tex]} = normal cdf

∵ (E - 99, 16.7 , 17, 0.8/[tex]\sqrt{30}[/tex])

The probability of getting a random sample of 30 batteries = 0.020

Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.

Determine the simple interest when: principal: $205,435 interest rate: 2.8%, time: 15 year

Answers

$86282.7

Step-by-step explanation:

principle (p) = $205,435rate (r) = 2.8%time (t) = 15 yearssimple interest = (p × r × t) ÷ 100 = (205,435 × 2.8 × 15) ÷ 100 = 8,628,270 ÷ 100 = 86282.7

MARK ME AS BRAINLISTPLZ FOLLOW ME

Describe how g(x) = 4f(x) transforms the graph of the parent function f(x) = x2.

Answers

Answer:

The graph of the parent function is stretched by 4 units.

Step-by-step explanation:

Multiplication of a function by a positive scalar:

When we multiply a function by a positive scalar a, the graph of the function is stretched by a units.

In this question:

g(x) is function f(x) multiplied by 4, which means that the graph of the parent function is stretched by 4 units.

jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?

Answers

Answer:

Jojo makes 1000 and Trish makes 250

Step-by-step explanation:

I hope this helped

Answer:

Trish makes $125 more than Jojo after 10 hours

Step-by-step explanation:

$125 jojo

$250 Trish

Rhombus ABCD has vertices A(-1, -2), B(2,2), C(6,5), and D(3,1). The perimeter of the rhombus is

Answers

Answer:

The perimeter of the rhombus is approximately 19.999.

Step-by-step explanation:

First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:

Segment AC

[tex]AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}[/tex]

[tex]AC \approx 9.899[/tex]

Segment BD

[tex]BD = \sqrt{(3-2)^{2}+(1-2)^{2}}[/tex]

[tex]BD \approx 1.414[/tex]

The perimeter of the rhombus ([tex]p[/tex]) is calculated by the following equation:

[tex]p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}[/tex]

[tex]p = 2\cdot \sqrt{AC^{2}+BD^{2}}[/tex]

[tex]p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}[/tex]

[tex]p \approx 19.999[/tex]

The perimeter of the rhombus is approximately 19.999.

Bentley invested $430 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $510?

Answers

Answer:

its 11

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

a car travels 224 miles in 3 hours and 30 minutes. how many miles does it travel per hour

Answers

Answer:

64 miles per hour.

Step-by-step explanation:

we are asked to look for the velocity of this car. to find it, we use the equation [tex]velocity = \frac{distance}{time}[/tex]. we substitute the given to the equation:

[tex]velocity = \frac{224 m}{3.5 hr}[/tex]

velocity = 64 miles per hour

Fourteen school festival tickets were sold to adults and children. A total of $38 was collected from these ticket sales. Adult tickets cost $4 each, and child tickets cost $1 each. If x represents the number of adult tickets sold and y represents the number of child tickets sold, which of the following systems of equations represents this situation?

A. x + y = 38
4x + y = 14

B. 4x + y = 38
x + y =14

C. 2x + y = 14
y - x = 38

D. x + 2y = 14
y - 2x = 38​

Answers

Answer:

A

Step-by-step explanation:

Math Question,please help​

Answers

Answer:

8

Step-by-step explanation:

If each person gets a 1/2 gallon of water, then how many people can share 64 gallons of water?

Answers

Answer: 128 people

Step-by-step explanation:

every 2 people get a gallon so 2*64=128

What is the range of function g if g(x) = f(x) + 3

Answers

Answer:

g(x)=f(x)

f(x)=y

y+3=0

y=-3

the range of g(x) is y=-3

The range of g(x) is y=-3. The range of function is found  by equating the given function with the f(x);

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The range of function is found  by equating the given function with the f(x);

[tex]\rm g(x)=f(x)[/tex]

The given function is represented as;

[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]

The range of g(x) is y=-3

Learn more about the function, refer;

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A. 30
B.45
C. 90
D. 60

Answers

Answer:

C. 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

PICKING BRIANLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!


Which statement about the slope of the line is true?


A. It is fraction negative 1/3 throughout the line.


B. It is −3 throughout the line.


C. The slope from point O to point A is fraction 1/3 times the slope of the line from point A to point B.


D. The slope from point O to point A is 3 times the slope of the line from point A to point B.

Answers

Im pretty sure you put the wrong picture. The slope isn't negative and there is no point O,A, or B.
Where is O, A and B?

The rectangle has a length of 5x - 10 and a width of 2x. The perimeter is 120 units. Solve for x and use it to identify the actual length and width.

Answers

Answer: x= 10

Step-by-step explanation:

l= 40

w=20

P=l+w+l+w

120=5x-10+2x+5x-10+2x

120= 14x-20

120+20=14

140=14x

x=10

Answer:

x=10

L=40

W=20

Step-by-step explanation:

P=2L+2W

120=2(5x-10)+2(2x)

120=10x-20+4x

120=14x-20

14x=140

x=140/14=10

then substitute

Substitution 8th grade question , need help. First respond gets brainiest and a thanks.

Answers

Answer:

X=5

Step-by-step explanation:

this will basically be 4x+-2(x-8)=26

= 4x+-2x+16=26

2x=10

x=5

y=5-8

-3=5-8

4X5+-2X-3=26

20+6=26

Answer:

Point Form: 5,-3

Equation Form: x=5, y= -3

Explanation:

If 4x+-2(x-8)=26

=4x+-2x+16=26

2x=10

x=

y=5-8

-3=5-8

4x5+-2x-3=26

20+6=26

how many inches is 2 1/6 ft​

Answers

26 inches is your answer

Answer:

26 inches

Step-by-step explanation:

You find out that 1 foot equals 12 inches

times 2 by 12 equaling 24

24 added by 2 is 26

1/6 as a decimal is 1.83 infinitive 3 which is rounded to 2 as the whole number

makes your answer 26 inches

Hope that helps

. Lightning Lucy’s burnable CDs are on sale this
month for 10% off regular prices. If a pack of 10
blank CDs normally costs $15, how much do you
save per CD?
Original unit cost of CDs = $_________ per CD
10% of original cost = $_________
Original cost minus the 10% discount = $_______
Discounted unit cost of CDs = $_______ per CD
Subtract the two unit costs to find
how much saved per CD = $_________​

Answers

Answer:

Original Cost = $1.50 per CD

Discount = $1.50

Discounted Cost = $13.50

Discounted Cost = $1.35 per CD

You Saved = $0.15 per CD

Step-by-step explanation:

$15/10CDs = $1.50

$15x10% = $1.50

$15-$1.50 = $13.50

$13.50/10CDs = $1.35

$1.50-$1.35 = $0.15

A financial analyst constructs a statistical model to represent the market shares of several similar companies. She then collects data over the
next month to evaluate her model. At the end of the month, she finds that for one of the companies, the difference between her model and the
data is 5%.
She decides to collect data for an additional two months. If her model is valid, what could she expect from the total data collected after three
months?
ОА. .
The difference between the data and the model will get smaller.
OB.
The difference between the data and the model will stay the same.
OC.
It is impossible to predict how the difference between the data and the model will change.
OD.
The difference between the data and the model will get larger

Answers

Answer:

Gets Smaller

If her model is valid, she expect from the total data collected after three months that the difference between the data and the model will get smaller. The correct option is A.

What is market shares?

When some amount of money is used to buy the share of a particular company, then the percentage of total sales generated by that company is called the market share.

A financial analyst collects data over the next month to evaluate her model. At the end of the month, she finds that for one of the companies, the difference between her model and the data is 5%. She decides to collect data for an additional two months.

If the model is valid, then she can assume that her assumptions are correct over the model according to the data. It will result in decreasing the bridge gap between the model and the collected data.

Therefore, If her model is valid, she expect from the total data collected after three months that the difference between the data and the model will get smaller. The correct option is A.

Learn more about market shares.

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HELPPP ME ASAP FOR 20 EASY POINTSSSS
The area of a floor in square yards is one-ninth the area of the floor in square feet. Write an equation representing y, the area in square yards, to f, the area in square feet.
HELP ME

Answers

Answer:

y = f/9

Step-by-step explanation:

Area of a floor in square yards = y = f/9

Area of a floor in square feet = f

The number that represents the area of the floor in square feet is 9 times the number representing the area in square yards. This makes sense because the ratio of yard to feet is 1 : 3 and the ratio of square yard to square feet is the same ratio but squared so 1 : 9.

If y represents the area in square yards and f the area in square feet.

y = f/9



Of all ladies over the age of 50, 72% report that they color their hair to hide their gray. What is the probability

that under 70% color their hair in a group of 85 older women?

Answers

Answer:

0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].

72% report that they color their hair to hide their gray.

This means that [tex]\mu = p = 0.72[/tex]

What is the probability that under 70% color their hair in a group of 85 older women?

For a sample of 85, we have that [tex]s = \sqrt{\frac{0.72*0.28}{85}} = 0.0487[/tex]

This probability is the pvalue of Z when X = 0.7. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.7 - 0.72}{0.0487}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a pvalue of 0.3409

0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.

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