jenny borrowed $500 for 5 years at 4% interest compounded annually. what is the total amount she will have paid when she pays off the loan?

Answers

Answer 1

Use the formula for compound interest,

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

Where P is the starting amount (500$), r is the rate of interest (0.04), n is the number of times the interest is compounded per unit (1 per year), and t is the amount of time it is compounded (5 years).

Now, plug it into the formula:

[tex]A=500(1+ \frac{0.04}{1})^{5}[/tex]

Do the math, and your answer is she must pay 608.32$ when she pays her debts.

Related Questions

In my block of 100 flats a painter is kept employed by painting one flat each month from January to November. The flats are painted in the same order and he takes a holiday every December. If my flat was last painted in August 2010 when will it be next painted?

Answers

January to November == 11 months.

11 flats are painted every year.

100 flats / 11 flats per year = 9 years + 1 month

the next time it will be painted is September 2019.

Answer:

The answer is September 2019.

Step-by-step explanation:

In order to determine the date of the painting flat, we have to know how the painter works.

Every year, the painter paints 11 flats, because he paints one flat each month and he doesn't work in December.

Also, if we consider that "my flat" is currently in the first position, we have to wait until the painter paints the 100 position because the painter has to paint 99 flats more.

So, "my flat was painted in August 2010", then the painter paints 3 flats more that year (September, October, November).

Now we add more painted flats every year:

3+11+11+11+11+11+11+11+11=91

At beginning of 2019, the painter has painted 91 flats. So in 9 months later, the painter will be paint the 100 position, that is in September 2019.

Finally "my flat" will be painted in September 2019.

Which of these is the algebraic expression for "3 times the sum of 2 and y?"

3(2 + y)
3 ⋅ 2 + y
2 + 3 ⋅ y
2(3 + y)

best answer gets BRAINIEST!!!!

Answers

3(2 + y) <== ur expression

3(2+y)
filler so i can post

What's 2 ways to write 100203

Answers

100000 + 200 + 3 (expanded form)

one hundred thousand two hundred and three (word form)

hope this helps

What is an expression that is equal to 12m+12n

Answers

Since 12 = 3+9, we could write 3m+9m+12n = 12m+12n

use the numbers 2,3,5, and 8 to write an expression that has a value of -1

Answers

(5 x 3) - (8 x 2) = -1

If f(x)= -x²+3x+5, find f(-3), f(0), f(2), f(5), and f(8).

Answers

f(-3)
-(-3)^2+3(-3)+5
-9-9+5
-18+5
-13 <======

f(0)
-(0)^2+3(0)+5
-0+0+5
5 <=======

f(2)
-(2)^2+3(2)+5
-4+6+5
7 <=======

f(5)
-(5)^2+3(5)+5
-25+15+5
-5 <======

f(8)
-(8)^2+3(8)+5
-64+24+5
-35 <======

What is the ANWSER to the question ? Thank you

Answers

Each salary pattern can be described with an expression that looks like:

starting salary + (annual increase) x (number of years)

Company A: [tex]24000+3000n[/tex]
Company B: [tex]30000+2400n[/tex]

You want to know when those two expressions will be equal.

[tex]2400+3000n=30000+2400n \\ 24000+600n=30000 \\ 600n=6000 \\ n=10[/tex]

The salaries from Company A and Company B will be equal after 10 years.

Which equation represents an exponential function with an initial value of 500

Answers

Exponential function is characterized by an exponential increase or decrease of the value from one data point to the next by some constant. When you graph an exponential function, it would start by having a very steep slope. As time goes on, the slope decreases until it levels off. The general from of this equation is: y = A×b^x, where A is the initial data point at the start of an event, like an experiment. The term 'b' is the constant of exponential change. This is raised to the power of x, which represents the independent variable, usually time.

So, the hint for you to find is the term 500 right before the term with an exponent. For example, the function would be: y = 500(1.8)^x.

What is the place value of 8 in 0.829

Answers

the answer is the tenths place

The 8 is in the tenths place, the 2 is in the hundredths place, and the 9 is in the thousandths place. Hope this helps, please mark brainliest Have a great night.

Video DVDs (ignoring the hole in the middle) have an area of 36π cm^2 The formula to calculate the circumference, C, for a circle is c=2√Aπ, where A is the area of the circle. What is the circumference of the disc?
12πcrr
18πcrr
24πcrr
30πcrr

Answers

it's 12π, because √36=6. 6×2= 12 :)

Final answer:

The circumference of a DVD with an area of 36π cm^2 is 12π cm.

Explanation:

The question asks for the circumference of a DVD with an area of 36π cm2. The circumference C of a circle is related to its area A by the formula C = 2√(Aπ). In this case, we need to substitute the given area of the disc into the formula to calculate the circumference.

First, we'll start by plugging in the area into the formula:

C = 2 √(36π π)
C = 2 √(36)√(π)√(π)
C = 2 × 6 × π
C = 12π

Therefore, the circumference of the disc is 12π cm.

I need help with this.

Answers

Hi!

(the green numbers on the image are the step numbers)

We can solve this using PEMDAS.
I wrote out how I solved it in the image, and here I will go more into detail:

Step 1
Write out the equation

Step 2
Put in the variables

Step 3
Solve:
Parentheses - Multiply

Step 4
Parentheses - Subtract

Step 5
Multiply

Step 6
Add
There's your answer! :)

The answer is 42

Hope this helps! :)

Substitute the values of a and b

8(3) + 6[2(5)-7]

You have to multiply the numbers in the parenthesis with the adiacent one.

24 + 6(10-7)

24+6(3)

24+18

42

A scientist finds the temperature of a sample at the beginning of an experiment is t degrees celcius. After 1 hour, the temperature is t^2 degrees celcius. If the temperature after 1 hour is 81 degrees celcius, what are two possible original temperatures? What is the difference between the possible original temperatures?

Answers

So the two possible original temperatures would be either -9 or 9.

The two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that:

A scientist finds the temperature of a sample at the beginning of an experiment is t degrees Celcius.

After 1 hour, the temperature is t² degrees Celcius. If the temperature after 1 hour is 81 degrees Celcius.

From the question:

t² = 81

Taking square root on both sides:

t = ±√81

t = ±9

t = 9 degrees Celcius

t = -9 degrees Celcius

The difference between the temperature = (9) - (-9) = 18 degrees Celcius

Thus, the two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.

Learn more about quadratic equations here:

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There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that it will rain tomorrow and the volleyball game will be postponed?

Answers

0.20/0.70 = 0.2857

28.6% chance

round the answer as needed.

I believe it is 14%

because 20% = 0.2 and 70% = 0.7

then 0.2 * 0.7 = 0.14

0.14 = 14%

14% is answer srry if wrong

What is the prime factorization of 162?

Answers

2*3 to the power of 4

Prime factorization of 162:
Start by dividing by the smallest prime number.
162/2 = 81
81/3 = 27
27/3 = 9
9/3 = 3

2 * 3 * 3 * 3 * 3 = 2 * 3^4

60,000 is ten times as much as

Answers

is ten times as much as 6,000

10 times x=60000

x=6000

Please help to solve... Need steps

Answers

x + y = 360
x =0.25y

substitute x = 0.25y into x + y = 360
x + y = 360
0.25y + y = 360
1.25y = 360
y = 288

x = 288 (0.25) = 72

Jose has 72 stamps
Maria has 288 stamps

288 - 72 = 216

answer
Maria has 216 more stamps than Jose

The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/12.
what is the equation that represents the ellipse?????????

Answers

The standard equation for an ellipse is
[tex] \frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} =1[/tex]
where
(h,k) = coordinates of the center
a, b = semi-major and semi-minor axes

Refer to the figure shown below.
The center of the ellipse is at (0,0).
Therefore, h=0, k=0.

One focus is at (12, 0)
Therefore
c = 12

One directrix is at 14 1/12 = 169/12.
Because the directrix is located at x = a²/c, therefore
a²/12 = 169/12
a² = 169/144
a = 13

Because c² = a² - b², obtain
b² = a² - c²
= 169 - 144 = 25
b = 5

Answer:
The equation for the ellipse is
[tex] \frac{x^{2}}{169} + \frac{y^{2}}{25} =1[/tex]

Final answer:

The equation that represents the ellipse with the given coordinates of the center, one focus, and one directrix is x^2/144 + y^2/(25/12) = 1.

Explanation:

The equation that represents the ellipse with the center at (0, 0), one focus at (12, 0), and one directrix at x = 14 1/12 can be found using the standard form of the equation for an ellipse:

(x - h)^2/a^2 + (y - k)^2/b^2 = 1

where (h, k) is the center of the ellipse, a is the distance from the center to the vertices, and b is the distance from the center to the co-vertices.

Since the center is at (0, 0), the equation becomes:

x^2/a^2 + y^2/b^2 = 1

The distance from the center to one focus is 12, so the value of a is 12. To find the value of b, we need to use the distance from the focus to the directrix. Since the directrix is x = 14 1/12, the distance from the focus to the directrix is |14 1/12 - 12|. Simplifying, we get |14 1/12 - 12| = 2 1/12. Therefore, the value of b is 2 1/12.

Substituting these values into the equation, we get:

x^2/144 + y^2/(25/12) = 1

Learn more about Ellipse equation here:

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HELP??
A scatter plot is shown below

Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?

(4, 9.5) and (10, 5.5)
(5, 0) and (10, 10)
(0, 6) and (5, 0)
(0, 9.5) and (10, 1.5)

Answers

The correct answer is (0, 9.5) and (10, 1.5).

Answer: The correct answer is D!

Step-by-step explanation:

Find the area of the parallelogram shown.

35 yd 2
24 yd 2
26 yd 2
40 yd 2

Answers

area = base x height

base = 5

and height = 7

so area = 7*5 =35 square yards

An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

ANSWERS
square root of fifteen divided by eight
eight divided by the square root of fifteen
seven divided by the square root of fifteen
square root of fifteen divided by seven

Answers

Draw a right triangle ABC, with m(CAB)=∅.

Let CB=7 units, AC=8 units, so by the Pythagorean theorem:

[tex]AB= \sqrt{ AC^{2} - BC^{2} }= \sqrt{ 8^{2} - 7^{2} }= \sqrt{64-49} = \sqrt{15} [/tex] (units)

so we have drawn a triangle where sin∅=7/8

in this triangle, cot∅=(adjacent side)/(opposite side)=[tex] \frac{ \sqrt{15} }{7} [/tex]

Answer: square root of fifteen divided by seven

PLEASE ANSWER ALL PARTS I WILL GIVE BRAINLIEST

Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different

SET A: 13.542 AND 35.42

SET B: 781 AND 78.1

SET C: 1.2 AND 01.20

Answers

13.542 = 35.42*0.1 +10
13.542 is 10 more than 10% of 35.42

781 = 78.1 * 10
781 is equal to 10 times 78.1

1.2 has two significant figure but 01.20 has 3 significant figure

Which expressions are equivalent to 3(x + 3y + 2x − y)?

Answers

3(x + 3y + 2x − y) = 3(3x + 2y)
= 9x + 6y
See if any of these match an answer option.

Use distributive property, and simplify like terms.

3(x + 3y + 2x - y)
= 3(x) + 3(3y) + 3(2x) + 3(-y)
= 3x + 9y + 6x - 3y
= 9x + 6y

Therefore, 9x + 6y is equal to 3(x + 3y + 2x - y)

Also, 9x + 6y can be factored into 3(3x + 2y).
3(3x + 2y)
= 3(3x) + 3(2y)
= 9x + 6y

So this pair is equivalent: 3(3x + 2y) and 9x + 6y

Cat breeders often mate cats that have special traits that they will pass on to offspring. This is an example of

Answers

probably it is inherited trait????

blame it on me if you get it wrong:C

Please Help!! Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.

Answers

No she is not correct,120% is higher than 100%.Remember percentage is the number represented out of hundrend

Maxine would be correct.
Work:
120% = 1.2
15*1.2 = 18
Therefore, 15 hours * 1.2 = 18 hours

I hope this helps!

How many tenths are equal to 4/5 mile using a diagram

Answers

4/5 as a decimal is 0.8

One tenth equals to 0.1

0.8 = 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1 + 0.1

We need ten lots of 0.1 to make 0.8

help me please. I don't know how to do this. so can you take me step by step if possible.

Answers

Ok divide 3.15 and 9 by nine. You will get .35 over one or .35 of a cup. Next divide 2.4 and 8 by 8 you will get .3 or .30. Finally, subtract .35 by .30 and you will get .05.

Translate the sentence into an inequality.

Three subtracted from b is less than or equal to −17.

Answers

B-3 [less than or equal to sign] -17

"Three subtracted from b" = b-3

"is less than or equal to" = ≤

"-17" = -17

Putting it all together...

b-3≤-17

a person or company that allows others to borrow money is called

Answers

Answer:

ummm its called a lender since that person is "lending" you something

Step-by-step explanation:

A person or company that allows others to borrow money is called a "lender".

What is a Lender?

A lender is a person, a group (public or private), or a financial organization that makes cash accessible to a person or business with the expectation of repayment. Payment of any interest or fees will be included in the repayment.

Repayment might take place in installments (such as a monthly mortgage payment) or as a flat amount. A mortgage is one of the largest loans that individuals obtain from lenders.

The loan duration varies depending on the type of debt. While some loans are for 1-2 years, the majority are for 6-12 months.

Thus, a person or company that allows others to borrow money is called a "lender".

To learn more about the Lender link is given below.

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Carlos can print a document on apricot printer which the speed is 8 in 4.5 minutes how long would it take him to print the same document on a sure-fire printer which the speed is 12

Answers

The apricot printer has a speed of 8.
The surefire printer has a speed of 12.

The surefire is faster than the apricot printer, so it wll take less time to print a document.
The apricot printer takes 4.5 minutes.
Therefore by proportion, the surefire printer takes
(8/12)*4.5 = 3 minutes.

Answer: 3 minutes

On a test hailey answered 64 out of 75 questions correctly. What percent of her answers
Were correct?

Answers

Answer:

[tex]\bold{85\frac13\,\%}[/tex]

Step-by-step explanation:

[tex]\dfrac{64}{75}\cdot100\,\%=\dfrac{64}{3}\cdot4\,\%=\dfrac{256}{3}\,\%=85\frac13\,\%[/tex]

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