Answer:
17500
Step-by-step explanation:
That would be 35 * 500
= 17500
A person invests 5500 dollars in a bank. The bank pays 4.25% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11200 dollars?
The person must leave the money in the bank for about 10.1 years at interest 4.25% to reach $11200 when compounded annually.
What is compound interest?Compound interest is when interest is added to the principal of an investment, allowing the interest to compound over time. In other words, the beginning principal as well as the total interest from prior periods are both used to compute interest. In contrast to simple interest, which only affects the initial capital, this causes the investment to expand exponentially over time. Often utilised in banking and investment, compound interest is sometimes defined in terms of a yearly interest rate and the frequency with which it is compounded.
Given that, bank pays 4.25% interest compounded annually on the invested amount.
The compound interest is given as:
[tex]A = P(1 + r/n)^{(n*t)}[/tex]
Substituting the values of P = $5500, r = 4.25% = 0.0425, A = $11200, and n = 1.
[tex]11200 = $5500(1 + 0.0425/1)^{(1*t)}\\t = log(11200/5500)/log(1.0425) = 10.1 years[/tex]
Hence, the person must leave the money in the bank for about 10.1 years to reach $11200.
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A jar contains red, green, yellow, orange and black jelly beans. In total the jar has 500 jelly beans. 3 students are discussing the best strategy to determine how many of each color jelly beans are in the jar.
Maci suggest taking 5 random samples of 10 jelly beans and recording the results.
Brandy suggests taking 5 random samples of 20 jelly beans and recording the results.
Gabby suggests taking 10 random samples of 25 jelly beans and recording the results.
Which student's suggestion is most likely to result in the best prediction of how many jelly beans of each color are in the jar?
A: Gabby
B: Maci
C: It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.
It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.
D:All 3 of them have the same likelihood resulting in the best prediction of how many of each color jelly bean are in the jar.
Using the Central Limit Theorem, it is found that the best prediction is given by:
A: Gabby.
What does the Central Limit Theorem state?It states that higher sample sizes and a higher number of experiments lead to more accurate predictions.
Gabby's sampling method has the higher sample size and also the higher number of experiments, hence her experiment gives the best prediction and option A is correct.
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Apple juice is 5 cans for $1.31, so each can of apple juice is $0.262. How much does it cost for each one?
Answer:
0.26 because the question states it. 0.262 can't be rounded up to 27 because 2 isn't high enough so it stays as 0.26
Show what you know: work out the problems below and submit a photo of your work to receive full credit.
The Florida A&M Rattlers are decorating campus for homecoming weekend. Students use 3 rolls of orange streamers for every 2 rolls of green streamers for every dorm they decorate.
Draw a model that represents the ratio of different colored streamers.
Draw a model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
The model for representing the ratio of the number of orange and green rolls are [tex]\dfrac{3}{2}[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G
What is ratio?The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.
A model that represents the ratio of different colored streamers.
[tex]\dfrac{3}{2}=\dfrac{O}{G}{[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
3O=2G
Hence the models are [tex]\dfrac{3}{2}=\dfrac{O}{G}{[/tex] and 3O=2G
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PLEASE HELP!
Correct answers will be mark as brainliest
Wrong answers will be reported
Answer:
x = 45
p = 18
Step-by-step explanation:
A goal is to get at least 15% of daily calories from polyunsaturated fats found in various nuts, oils, and fish. 1 serving of walnuts (about 15 pieces) has about 21 grams of polyunsaturated fat. Each fat gram has 10 calories. On a 2,100-calorie diet, about what percent of daily calories does 1 serving of walnuts provide?
Using the percentage concept, it is found that 1 serving of walnuts provides 10% of daily calories.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, one serving has 21 grams, each with 10 calories, hence the number of calories is given by:
C = 21 x 10 = 210 calories.
Hence, out of a 2,100 calorie diet, the percentage is given by:
[tex]P = \frac{210}{2100} \times 100\% = 10\%[/tex]
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HELP ME PLEASE I NEED HELP
Step-by-step explanation:
here you go best of luck on this
Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….
The sequence 4, 20, 36, 52, Required 6th term is 84.
What is sequence?A sequence is an enumerated group of objects in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of elements (possibly infinite). In contrast to a set, the same elements can appear more than once in a sequence at various positions, and unlike a set, the order is important. The formal definition of a sequence is a function from natural numbers to the elements in each position. An indexed family, which is a function from any index set, can be thought of as a generalisation of the idea of a sequence.
For instance, the letters (M, A, R, Y) are arranged with M coming first and Y coming last.
Given, sequence is an arithematic sequence with common difference 16 and first term 4.
So,
6th term = first term + 5 * common difference
= 4 + 5 * 16
= 84
Hence, the required 6th term is 84.
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A fire ranger on a 150 ft. tall tower spots a fire at a 30-degree angle of depression. About how many feet away from the tower is the fire?
The tower is 260 feet away from the fire.
How to apply trigonometric function?The height of the tower is the opposite side while the distance from the tower to the fire is the adjacent side.
Given:
Angle of depression = 30°.
Opposite side = 150 feet.
Now,
tan [tex]\thtea\\[/tex][tex]\theta[/tex]= P/B
tan 30 [tex]\thtea\\[/tex]= 150/B
1/√3= 150/B
B= 150*√3
B= 150*1.732
B= 259.8
B= 260 feet.
Hence, the tower is 260 feet away from the fire.
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Health-Related Fitness is
A. The ability of a muscle group to exert a force against a resistance for an extended period of time.
B. The components of physical fitness that is associated with some aspect of overall good health.
C. The ability of the body to supply oxygen and energy during prolonged physical activity.
D. The ability to carry out skilled actions that require coordination between the nervous system and the muscular system.
Answer:
It's A. The ability of a muscle group to exert a force against a resistance for an extended period of time.
Final Amount 10,400
Initial investment ?
Interest Rate 2%
Time (Years) 4
How do i find the initial investment
Answer:
$9629.63
Step-by-step explanation:
I assume this is simple interest.
The formula for simple interest is
F = P(rt + 1)
where F = future value,
P = present value
r = annual interest rate
t = number of years
10,400 = P(0.02 × 4 + 1)
10,400 = 1.08P
10,400/1.08 = P
9,629.63 = P
Answer: $9629.63
write a event that has a probability of 0
PLEASE HELP W CALC!!
ONLY #14 but you need to look at the the question (not the answer) in 13 to answer 14
14. Write but do not evaluate the integral which can be used to find the volume which results when region R in problem 13 is revolves around the line x=4
Answer:
[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]
Step-by-step explanation:
We can use the washer method. Because the axis of revolution is vertical, our representative rectangle is horizontal. Recall that:
[tex]\displaystyle V = \pi \int_a^b \left[ R(y)\right] ^2 - \left[r(y)\right]^2 \, dy[/tex]
Solve each equation as a function of y:
[tex]\displaystyle \begin{aligned} y & = \sqrt{x} \\ \\ x_1 & = y^2\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} y & = \frac{1}{4}x^2 - 1 \\ \\ x_2 & = \pm\sqrt{4(y+1)} \\ \\ & = \sqrt{4(y+1)}\end{aligned}[/tex]
The outer radius R is simply (4 - x₁) and the inner radius r is (4 - x₂). The point of intersection is (3.368, 1,835), so our limits of integration are from y = 0 to y = 1.835.
Therefore, the integral that represents the region being revolved around
x = 4 is:
[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]
Jessie designed a sculpture that is shaped like a circle. The circumference of the sculpture is π meters.
Which measurement is closest to the area of the sculpture in square meters?
31.4 m²
78.5 m²
62.8 m²
314 m²
The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].
Given that,
Jessie designed a sculpture that is shaped like a circle,
The circumference of the sculpture is 10π meters.
We have to determine,
Which measurement is closest to the area of the sculpture in square meters.
According to the question,
Circumference of the circle = [tex]2\pi r[/tex]
Where, circumference = [tex]10\pi[/tex]
Then,
[tex]10\pi =2\pi r[/tex]
[tex]r=\frac{10\pi }{2\pi }[/tex]
[tex]r=5m[/tex]
Therefore,
Jessie designed a sculpture that is shaped like a circle.
Area of the circle = [tex]\pi r^2[/tex]
Where, r = 5m
Then,
Area of the circle is given by,
[tex]=\pi r^2[/tex]
[tex]=3.14[/tex] × [tex](5)^2[/tex][tex]=3.14[/tex] × [tex]25[/tex][tex]=78.5m^2[/tex]
Hence, The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].
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There are 11 runners in a race. Medals are awarded for 1st, 2nd, and 3rd place. In how many different ways can the medals be awarded?
a.330
b.990
c.110
d.165
Then the number of the ways that the medals can be awarded will be 165. Then the correct option is D.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are 11 runners in a race. Medals are awarded for 1st, 2nd, and 3rd place.
Then the number of the ways that the medals can be awarded.
[tex]\rightarrow ^{11}C_3\\\\\\\rightarrow \dfrac{11!}{(11-3)! 3!}\\\\\\\rightarrow \dfrac{11 \times 10 \times 9 \times 8!}{8! \times 3 \times 2 }\\\\\\\rightarrow \dfrac{11 \times 10 \times 9}{3 \times 2}\\\\\\\rightarrow 11 \times 5 \times 3\\\\\\\rightarrow 165[/tex]
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What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer.
Answer:
Step-by-step explanation:
What is the rule for a reflection across the Y axis? The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same
Answer:
A'(-2, 5)
B'(-6, 3)
Step-by-step explanation:
When a point is reflected in the y-axis, the image is as far from the y-axis on the other side as the original point is on this side. That is, the y-axis is halfway between the original point and its image. The x-coordinate of a point measures how far from the y-axis it is, so reflection in the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection in the y-axis
__
A(2, 5) ⇒ A'(-2, 5)
B(6, 3) ⇒ B'(-6, 3)
s A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. The probability that the first marble is white and the second is blue
In the expression 30x? - 35x + 54x - 63 when the first two terms are grouped, and the last two terms are grouped, what is the common binomial factor?
When the first two terms and the last two terms are grouped, the common binomial factor is 6x – 7
Data obtained from the question 30x² – 35x + 54x – 63Common factor =.?How to determine the common factor
30x² – 35x + 54x – 63
Group the first two and the last two terms
(30x² – 35x) + (54x – 63)
Factorise
5x(6x – 7) + 9(6x – 7)
Common factor => 6x – 7
Therefore, we can conclude that the common binomial factor in the expression is 6x – 7
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Your puppy dug up two-thirds of the flowers in the flower bed that contained 18 flowers. How many flowers were dug up?
Answer:
12 :)
Step-by-step explanation:
18/3 = 6
Now we multiply :)
6 x 2 = 12
Have an amazing day!!
Please rate and mark brainliest!!
WHICH ONE? NEED ASAP THANK YOU
Answer:
see below
Step-by-step explanation:
the third one
8m^2-5m^+9m^2-9-4-2m
You add 8 and 9, as they have the same exponents, and as there is only one answer witha positive 17, it is ur answer
help please and explain too if you can
Answer:
x = 10
y = 17.321
Step-by-step explanation:
feel free to ask questions !!
I have also attached the trig rules I was using just in case you wanted a general idea
Which matrix multiplication is possible?
[0 3]*[1 -4]
[3 -2]*[-1 0 0 3]
[1 0 1 1]*[3 0]
[1 -1]*[0 4]
Answer:
matrix multiplication is possible in this matrix
Step-by-step explanation:
[tex] ( \frac{1}{ - 1} ) \times (0 \: \: 4)[/tex]
Answer:
D
really sorry if wrong
but I am positive that is the answer
When observing a performance or movement pattern, you should break down the complex skills into which of the following:
A. Stylistic parts
B. none of these
LC. Component parts
D. Tactical parts
When observing a performance or movement pattern, you should break down the complex skills into component parts.
What are complex skills?Complex skills are skills that are composed of many parts. This makes it difficult to engage in these sort of skills without a rigorous training.
Thus, when observing a performance or movement pattern, you should break down the complex skills into component parts.
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Each of these labelled bags contains two apples.
One bag contains two green apples, another two red apples and the third one green and one red apple.
All three bags are mislabelled. You may look at only one apple from any one of the bags.
Which bag should you select from to be sure you can determine the content of all three bags?
- Bag 1 ?
-Bag 2 ?
-Bag 3 ?
Step-by-step explanation:
all bags are mislabeled. that means, whatever is written on either of the 3 bags, is wrong.
so, the bag labeled "green" is NOT the one with 2 green apples. the one labeled "red" is NOT the one with 2 red apples.
and - my favorite - the one labeled "red/green" is NOT the one with the mixture.
so, we pick one apple from the bag that is currently (mis-)labeled as "red/green".
as it cannot be the mixed bag, it must be one of the pure color bags.
whatever color shows up, we know this is the bag with 2 apples of that color.
then the bag that was labeled with that color must be the other pure color (if it were the mixed bag, it would mean that the third bag was labeled correctly, which is not the case). and then the third bag is the mixed one.
for example :
we get a red apple in our first pick.
so, the bag, that was originally (but wrongly) labeled as "red/green" gets the label "red".
then the bag with the original (but again wrong) label "green" gets now the label "red".
and the third bag with the original (but wrong) label "red" gets the "red/green" label.
if the first apple is green, then the same principle just with reversed colors applies.
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
What number has the factors 1, 2, 3, 4, 6, 8, 12, 24?
can you please help me I give you extra points
Answer:
( -6 , 4 ) , ( -5 , 6 ) , (-3 , 6 ) , (-1 , 4 )
I need help with 5,6,7 please
Answer:
see explanation
Step-by-step explanation:
the arc length of a circle is calculated as
arc = circumference of circle × fraction of circle
(5)
circumference (C) is calculated as
C = 2πr ( r is the radius )
here diameter = 12 , then r = 12 ÷ 2 = 6
C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )
(6)
JK = 2πr × [tex]\frac{75}{360}[/tex]
= 2π × 7 × [tex]\frac{5}{24}[/tex]
= 14π × [tex]\frac{5}{24}[/tex]
= [tex]\frac{14\pi (5)}{24}[/tex] ≈ 9.2 in ( to the nearest tenth )
(7)
7.5 = 2πr × [tex]\frac{120}{360}[/tex]
7.5 = 2πr × [tex]\frac{1}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
22.5 = 2πr ( divide both sides by 2π )
r = [tex]\frac{22.5}{2\pi }[/tex] ≈ 3.6 ft
Solve for y: 3y + 5 - 8y = 2y - 7 - 4y
A y = - 4
B y = 12/7
C y = 4
D y = 2/3
Was I supposed to put a greater number than 10 on top of the 4? What am I supposed to do and why?
Answer:
So looking at the expression that was given to us, we know that we must solve for g. In order to solve for g we need to make sure that g is alone on one side of the expression. In this example, we need to multiply both sides by 4 to get rid of the fraction on the left and in effect we would multiply 12 by 4 also.
[tex]\frac{g}{4} > 12[/tex]
[tex]\frac{g}{4}*4 > 12*4[/tex]
[tex]g > 48[/tex]
Therefore, our final answer is [tex]g > 48[/tex]
Hope this helps! Let me know if you have any questions
Answer:
g > 48
Step-by-step explanation:
g/4 > 12
g > 12*4
g > 48