Nancy deposits $2500 into an investing account that pays 6.1% annual interest compounded quarterly. What will be the balance after 10 years? Round to the nearest cent.

Answers

Answer 1

Step-by-step explanation:

P=principle balance

r= interest rate

n= no. of times interest compounded per year

t= time period.

[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]

BRAINLIST PLS

Answer 2

Based on the information given the balance after 10 years is $4579.94

Balance after 10 years

Using this formula

Amount=P(1+r/n)^nt

Where:

P=principle balance=2500

r= interest rate=6.1%

n= Number of times interest compounded per year=4

t= time period=10 years

Let plug in the formula

Amount=2500(1+0.061/4)^4×10

Amount=2500(1+0.01525)^40

Amount=2500(1.01525)^40

Amount=$4579.94

Inconclusion  the balance after 10 years is $4579.94

Learn more about  balance after 10 years here:https://brainly.com/question/25545513


Related Questions

Jenny played four games of golf. For these games her modal score was 76 and her mean score was 75. Her range of scores was 10. What were her scores for the four games?​

Answers

75 x4=300(total scores)
Modal score is 76, so at least two of the 4 game scores must be 76.
That’s all I’ve got:)

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Answers

Answer:

the first option is the answer

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

(7b + 1) + (7b + 1) + 10b
2(7b + 1) + 10b
14b + 2 + 10b
24b + 2

I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+146x+137

Answers

Answer:

470.1

Step-by-step explanation:

Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.

This is where the derivative=0

Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.

y=[tex]-16x^2+146x+137[/tex]

y'=[tex]-32x+146[/tex]=0

-32x+146=0

x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex

Now plug this back into the original equation to find the maximum height.

f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137

=[tex]\frac{-73^2}{16} +666.125+137[/tex]

=-333.0625+666.125+137

=470.0625

To the nearest tenth this is 470.1

The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.

Answers

Answer:

the answer would be 196.25

Step-by-step explanation:

Airline fares are $200 for first class and $150 for business class. If a flight had
52 passengers who paid a total of $8500. How many first class passengers.
we’re on the trip?

Answers

Answer:

14 first class passengers

Step-by-step explanation:

Set a system of equations as below:

x + y = 52200x + 150y = 8500

Multiply the first equation by 150 and subtract from the second equation.

This will eliminate y, solve for x:

200x + 150y - 150x - 150y = 8500 - 150*5250x = 700x = 700/50x = 14

rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than she did before the 10% increase was added

Answers

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

What is a quarter of 2770?

Answers

Answer:

692.5

Step-by-step explanation:

Answer:

it's 692.5

I hope it's right

The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Answer:

68.54 dollars is you answer you would do 63 times .088 and add 63 to your answer

Step-by-step explanation:

4.) You paid $51 for four tickets to a play. What is the unit price?
O $12.75
$12.50
O $13.00
$12.00

Answers

Answer:

$12.75

Step-by-step explanation:

To find the unit price of something divide the cost by the amount of the Item

Enlarge triangle ABC by scale factor -2, centre (4,2)

Answers

Answer:

  see attached

Step-by-step explanation:

The scale factor of -2 means each point on the preimage will be reflected across the center of dilation a distance twice its distance to that center.

For example, point B is 2 units right and 1 unit down from the center of dilation. Its image will be 4 units left and 2 units up from the center of dilation, so will have coordinates B'(0,4).

C is 1 unit right of B, so C' will be 2 units left of B', at C'(-2, 4).

A is 4 right and 1 up from the center, so A' will be 8 left and 2 down from the center, at A'(-4, 0).

please help me the last question is wrong

Answers

Answer:

                         

Step-by-step explanation:

I NEED HELP!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

123

plz help will mark as brainliest​

Answers

Step-by-step explanation:

18 cm is the correct answer

The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 38. Find X

Answers

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              [tex]\frac{50}{5} = \frac{5x}{5}[/tex]

               10 = x

   

CHINESE SOCIAL CREDIT POINTS

What do you think about Mao Tse-tung

Answers

Answer:Stuff Step-by-step explanation:

PLEASE HELP ME……………..

Answers

Answer: chrome

Step-by-step explanation: go to a new tab then search it up.

simplify (x^5-y^5) ÷(x-y) (this question is a part of polynomials chapter) please explain and tell me the answer

Answers

Answer:

Step-by-step explanation:

[tex]x^{n}-y^{n} =(x -y)(x^{n-1} + x^{n-2}*y^{1} +......+ xy^{n-2} + y^{n-1}\\\\\dfrac{x^{5}-y^{5}}{x-y}=\dfrac{(x -y)*(x^{4}+x^{3}*y^{1}+x^{2}*y^{2}+x*y^{3}+y^{4}}{(x-y)}\\\\[/tex]

            = x⁴  + x³y + x²y² + xy³ + y⁴

The graph of the piecewise function f(x) is shown.
1 f(x)

Answers

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.

Answers

Answer:

Step-by-step explanation:

What is the y-coordinate of the y-intercept of function d(x) ? y=-8(X-(5/2) (X+3)

Answers

Answer:

(0,60)

Step-by-step explanation:

I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)

How do you get the volume of a 3d object? How could the way to calculate volume help certain people like construction workers?
Me will give brainliest to the person whose answer is the best.

Answers

Answer:

The way to calculate the volume of a 3D object like a cube is by multiplying the length times the width and the height or you could also use base times the height to find the volume. The way to calculate the volume could help construction workers to see how much area the building takes up and a lot of other stuff.

Step-by-step explanation:

It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds Submit

Answers

Answer:

9 pounds

Step-by-step explanation:

100% - 10% = 90%

90% -> .9

[Solving] 10 * .9 = 9

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

9 pounds

Step-by-step explanation:

10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.

HELP ORGENT
Tyrone has $95 to spend. He already bought pants for $22. How many $5 t-shirts can he buy if he wants to have at least $15 left over?

a. Write an inequality that demonstrates this situation

b. solve your inequality

c. Explain what your answer means to Tyrone

Answers

Answer:

it should be a.

Step-by-step explanation:

The temperature at 6 am was −3°C. By lunch time the temperature had risen by 5°C. What was the temperature at lunch time?

Answers

Answer:

2°C

Step-by-step explanation:

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-3+5=2  

so ur answer is 2

Find the perimeter of an isosceles triangle. The base is 3y and each side is (0.6y-7).

Answers

Answer:

Perimeter = 4.2y - 14

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sided of the triangle.

In an isosceles triangle, there are two equal sides and a base.

Perimeter = (0.6y - 7) + (0.6y - 7) + 3y

Perimeter = (0.6y + 0.6y + 3y) - 7 - 7

Perimeter = 1.2y + 3y - 14

Perimeter = 4.2y - 14

i need some help with simple algebra! using pemdas :p

Answers

Answer:

the answer is 69

Step-by-step explanation:

the step by step explanation is that 2+2+4

pemdas

perenthasy

exponents

multiplication

division

adition

subtraction

Here is a scale drawing of a garden.
Tom wants to plant a tree in the garden according to the following rules:
it must be 4 m from A and 2 m from CD.
Place a cross where Tom can plant the tree.

Answers

The location of the tree can be found by taking point A as the origin of

coordinate plane, represented by the drawing area.

Response:

The the graph showing the location where Tom can plant the tree is attached.

Method used to find the location for planting the tree

The area Tom wants to plant the tree in the garden is given by the following rule;

Distance of the tree from A = 4 m

Distance of the tree from CD = 2 m

1 cm in the scale drawing = 2 m

Solution:

Taking point A as the origin, we have;

The location of the tree from point A is given by the radial length, r = 2 cm.

The distance of the tree from the line CD is given by the line, y = 1.5 cm,

given that 1 cm from CD = 1.5 cm from point A

Therefore, we have;

The y-coordinate of the location of the tree is; y = 1.5

Equation of the circular distance from A is; x² + y² = r²

Where;

r = 2

y = 1.5

We have;

x² + 1.5² = 2²

x² = 2² - 1.5² = 1.75

x = √(1.75)

The coordinate of the location of the tree from A is; (√(1.75), 1.5)

Please find attached, the graph showing the location where Tom can plant the tree in relation to point A.

Learn more about the coordinate plane here:

https://brainly.com/question/11252677

What is the approximate area of a circle with a diameter of 10in

Answers

Answer:

A≈78.54in²

Step-by-step explanation:

Can I have brainliest pls?

49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

4.5

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