Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year for 5 years, what percentage of the balance in the account is interest earned?
Round your answer to the nearest hundredth of a percent.

Answers

Answer 1

Answer:

  13.05%

Step-by-step explanation:

The value of an ordinary annuity earning interest compounded annually is ...

  A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P

For this account, the balance after 5 years will be ...

  A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739

The sum of payments is ...

  payment total = 3000·5

Then the amount of interest is ...

  3000·(5.750739 -5) = 3000·0.750739

and the fraction that is of the account balance is ...

  (3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%

About 13.05% of the balance is interest earned.


Related Questions

Please Help Me, I don't understand this kind of math

Answers

Answer:

  x = 9 cm

  y = 4 cm

Step-by-step explanation:

The angle markings tell you the three angles of one triangle are equal to the three angles of the other triangle. That means the triangles are "similar", and the lengths of corresponding sides have the same ratio.

The bottom sides, between the angles with 1 mark and 3 marks, are shown as 3 cm in the green triangle and 6 cm in the blue triangle. This tells you all of the the green triangle dimensions are half those of the corresponding dimensions in the blue triangle:

  x = (18 cm)/2 = 9 cm

It also tells you the blue triangle dimensions are 2 times those of the green triangle:

  y = 2(2 cm) = 4 cm

_____

Additional comments

Corresponding sides having the same ratio means they are proportional (and vice versa). This can be expressed in equation form as ...

  y/(2 cm) = (18 cm)/x = (6 cm)/(3 cm)

__

You may want to discuss this problem with your teacher. The side lengths shown in the figure do not form a triangle. The two short sides are too short to connect to the ends of the long side. The figure is impossible.

Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm

Answers

Answer:

174 cm

Step-by-step explanation:

1.83 m to cm is 183.

So, 183 cm - 9 cm = 174cm

Hope you understand ^^

Answer:

174 cm

Step-by-step explanation:

1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm

Calculate 1.015 to the power of 72

Answers

Answer:

2.92 rounded

Step-by-step explanation:

:))

2.92 is the answer if you round it, if you need the answer not rounded let me know.

what is the equation of this line in slope-intercept form

Answers

Answer:

y=3/5x+3 i think

Step-by-step explanation:

3 is the y intercept, and to find the slope its rise over run so 3 up and 5 to the side, i hope this helps!!

Round 2,913 to the nearest ten

Answers

Answer:2,910

Step-by-step explanation:

Answer:

2910

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

I need to know the answer

Answers

Answer:

2 x 6 = 12

6 x 2 = 12

12 ÷ 6 = 2

12 ÷ 2 = 6

Step-by-step explanation:

(5,3)(6,r) m=-1
Find the value of r so that the line that passes through the pair of points has the given slope

Answers

Answer:

Step-by-step explanation:

Slope is change in y over the change in x

(r - 3) / (6 - 5) = -1

(r - 3) / (1) = -1

r - 3 = -1

r = 2

A.what is biology
b.what is sciences ​

Answers

Biology is the scientific study of life. It is a natural science with a broad scope but has several unifying themes that tie it together as a single, coherent field.

Science is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the world.

Hope this helped you!!

Anthony is in a hot air ballon that has taken off and is floating above its launching point. Leroy is standing on the ground, 8 METERS away from the launching point. If Anthony and Leroy are 10 meters apart, how high up is Anthony?

Answers

since the base of the triangle is 8 and 10 is the hypotenuse, you would do b= 10^ -8^2 which gives you 6

whats the answer can someone answer please​

Answers

Answer:

Step-by-step explanation:

21.

4(x + 7) - 2x

4x + 28 - 2x

2x + 28

answer: 2x + 28

22.

8(a + b) + 5(2a - 5b)

8a + 8b + 10a - 25b

18a - 17b

answer: 18a - 17b

-------------------------------------

Jhon's solution is wrong

1. first mistake

when you see this

10^5/10^4

the right solution is 10^(5 - 4) = 10^1 or just 10

2. second mistake

6.4/7.2 he inverted the fraction which is wrong

you can only invert the fraction when the power is negative

----------------------------------------------------------

now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10

or 0.9 x 10^1

or 8.9

A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference

Answers

The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft

We know that the circumference of a circle of diameter D is given by:

C = 3.14*D

Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:

C = 3.14*10ft = 31.4 ft

You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.

If you want to learn more about circles, you can read:

https://brainly.com/question/17009561

Write 12 as a product of primes. Use index notation when giving your answer

Answers

[tex]12 = 2 \times 2 \times 3[/tex]

or

[tex]12 = {2}^{2} \times 3[/tex]

- BRAINLIEST answerer

Use the functions f(x)=-x^2+8x-11 and h(x)=-x-7

h(8)-2*f(3)

This is called question #18 on the worksheet images.

Answers

Answer:

Step-by-step explanation:

h(8) = -8 - 7

h(8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

h(8) - 2 f(3) = -15 - 2(4) = -23

The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Functions f(x) = -x²+8x-11 and

h(x)=-x-7

h(-8) = -8 - 7

h(-8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

= h(8) - 2 f(3)

= -15 - 2(4)

= -23

Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

If 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2021 cats to kill 2021 mice

Answers

Step-by-step explanation:

168 hours I guess

have a food day

(a) Michael bought 19 pounds of sugar for $8. How many dollars did he pay per pound
(b) Latoya runs 4 miles in 34 minutes. How many minutes does she take per mile?

Answers

Answer:

A = 2.37500

B = 8.5

Step-by-step explanation:

Explanation A - 19 divided by 8 is 2.37500

Explanation B - 34 divided by 4 is 8.5

Use the slope formula to fond the slope of the line that passes through the two points.

(13, -2) and (3, -2)

Answers

Answer:

Step-by-step explanation:

Notice that the y-component is the same, -2, in these two points.  That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.

                                      -2 - (-2)

Alternatively, use m = -------------- = 0

                                        3 - 13

The value of the slope in question is zero:  m = 0

Eloise's math tutor used algebra tiles to model 3n + 4 - n + 5. What is the simplified form of this expression?

Answers

Answer:

2n + 9

Step-by-step explanation:

3n - n + 4 + 5 = 2n + 9

help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,​

Answers

Answer:

35

Step-by-step explanation:

if not correct I'm very very sorry I tried my best for this</3


[tex] \frac{25}{ \sqrt[3]{5} } [/tex]write ^ as a power of 5​

Answers

Answer:

[tex]5^{\frac{5}{3} }[/tex]

Step-by-step explanation:

Using the rules of exponent

[tex]\sqrt[3]{a}[/tex] = [tex]a^{\frac{1}{3} }[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

[tex]\frac{25}{\sqrt[3]{5} }[/tex]

= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]

= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]

= [tex]5^{\frac{5}{3} }[/tex]

can someone help me solve this?

Answers

Answer:

- 9

Step-by-step explanation:

Given:

3q + 4 + 9 = - 14

Solving in steps:

3q + 13 = - 143q = - 14 - 133q = - 27q = - 27/3q = - 9

[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]

[tex]\\ \sf\longmapsto 3q+13=-14[/tex]

[tex]\\ \sf\longmapsto 3q=-14-13[/tex]

[tex]\\ \sf\longmapsto 3q=-27[/tex]

[tex]\\ \sf\longmapsto q=-9[/tex]

Help help help please good luck be honest

Answers

Answer:

A'(-6,4) B'(2,2) C'(-2,-2)

Step-by-step explanation:

The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).

Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!

Answers

Answer:

C. Transitive property of ≅

Step-by-step explanation:

The statement #5 and #7 give an outcome of the statement #8:

ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCB

This is called transitive property of congruence:

If one triangle is similar with another two, then the the other two triangles are similar to each other

Correct choice is C

Answer:

C. Transitive property of congruence

Step-by-step explanation:

Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.

Evaluate - 2c + d for c = -9 and d = 4.

Please help.​

Answers

Answer:

-14

Step-by-step explanation:

2c + d

We are given the values of c and d:

c = -9

d = 4

We substitute in these values

2(-9) + 4 = ?

2 times -9 is -18

-18 + 4 = -14

2c + d = -14

Hep help help help please please

Answers

Answer:

7,6

Step-by-step explanation:

Start from the horizontal line and then the vertical line

Answer:

according to the y and x axis rule the x comes first which means that 6 should go in the green box and 7 in the grey

Can someone help me solve these problems?

Answers

Answer:

Step-by-step explanation:

1) add all angles to 180

2) exterior angle = P + Q

i can add remaining ones also

Find all missing angles.

M21 =

m22

m23

57-

72•

4

m24

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

AAAAAAAAA help please​

Answers

The answer is the first one BC ~ CD
Ok done. Thank to me:>

you will receive a golden cookie and 30 points if you help me

Answers

Answer:

A: -5/4 ; B: -0.5 ; C: 2

Step-by-step explanation:

Its the number line which shows.

Answer:

B = -0.5

A= -5/4

C= 2

Brainlest

Step-by-step explanation:

?
Which is the simplified form of n -6p3?

Answers

OPTION C

if any doubt leave a comment

Step-by-step explanation:

remember, a negative exponent means 1/...

like 5^-3 = 1/5³

once you understand this, it is totally easy to find the right answer : the third option p³/n⁶

because n has a negative exponent, p has a positive one.

Solve for r.

17r+6r+16r+17r–19r=12
r=

Answers

Step 1 (Combine like terms) you are left with 37r=12 divide by 37 on both sides and get r=12/37

Answer: R= 4

Step-by-step explanation:

FOR step by step explanation ask me by my mail , Thanks !

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