A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compounded annually? Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years

Answers

Answer 1

Answer:

$562.43

Step-by-step explanation:

V(3) = [tex]500 ( 1 + \frac{0.04}{1} )^{3} \\500 (1.04)^{3}[/tex]

     = 562.43

Answer 2

The interest is $562.4 compounded annually.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.

P = $500

r = 4%

t = 3 years

CI = P( 1+ r/100)ⁿ

CI = 500 ( 1+ 4/100)³

CI = 500 ( 1+ 0.04)³

CI = 500 ( 1.04)³

CI = 500 ( 1.1248)

CI = 562.4

Hence, the interest is $562.4 compounded annually.

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Related Questions

express in meters 8.45km and 7896 cm​

Answers

Answer:

8.45km= 8450 meters

7896 cm= 78.96 meters

Step-by-step explanation:

km x 1000 = m

cm x .01 = m

Find the midpoint of (4,-1) and (2, -7).

Answers

So the right answer is (3,-4).

Look at the attached picture

Hope it will help you

Good luck on your assignment..





A square is cut into three equal rectangles. How does the area of the square compare to the sum of the areas of the three rectangles?
A) sum of the areas of the rectangles equals the area of the square
B) area of the square is 3 times the sum of the area of the rectangles
C) sum of the areas of the rectangles is 3 times the area of the square
D) sum of the areas of the rectangles is

Answers

Answer:

B. area of the square is 3 times the sum of the area of the rectangles

Y= f(x)= (3/8)^x
Find f(x) when x=2 show your work

Answers

Answer:

[tex]\frac{9}{64}[/tex]

Step-by-step explanation:

Given

f(x) = [tex](\frac{3}{8}) ^{x}[/tex] then

f(2) = ([tex]\frac{3}{8}[/tex] )² = [tex]\frac{3^2}{8^2}[/tex] = [tex]\frac{9}{64}[/tex]

PLS HELP ME WOULD REALLY appreciate It!!!

Answers

Answer:

C. Acute and Isosceles

Step-by-step explanation:

Acute means the angles are less than 90 degrees. All of the triangles angles are less than 90 degrees.

Isosceles means they have 2 sides of equal length. In the triangle, there are 2 sides with the length of 6 in, making this an isosceles triangle

Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
A. No solution
B. X= 2, y=4
O C. x = 1, y = 2
D. More than 1 solution

Answers

The answer is answer choice D)

Answer:

no solution

Step-by-step explanation:

What's the eleventh term of a sequence with an explicit rule of ƒ(n) = 2 + 3(n – 1)?

Question 16 options:


A)


ƒ(11) = –31


B)


ƒ(11) = 32


C)


ƒ(11) = 23


D)


ƒ(11) = –22

Answers

Answer:

B. F(11) = 32

Step-by-step explanation:

From the explicit equation,

F(n) = 2 + 3(n - 1)

F(11) = 2 + 3(11 - 1)

F(11) = 2 + 33 - 3

F(11) = 35 - 3

F(11) = 32

The 11th term of the sequence with an explicit rule is 32

I dunno how to do it

Answers

Answer:

PART 1                          

1.true            

2.not true

3.true

4.not true

5.not true

6.true

7 true

8.not true

9.Not true w=8

10.true

11.true

12.not true j=9

13 not true a=4

14 not true y=6

15.not true b=6

16 true

Step-by-step explanation:

1.true            

2.not true

3.true

4.not true

5.not true

6.true

7 true

8.not true

9.Not true w=8

10.true

11.true

12.not true j=9

13 not true a=4

14 not true y=6

15.not true b=6

16 true

Solve for y
C
(6x + 6)
(5y + 10)
Enter your answer in the box.
y =
В

Answers

Answer:

The answer is 10!

Step-by-step explanation:

Hence, the answer is [tex]10.[/tex]

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equations are

[tex]6x+6=0\\5y+10=0[/tex]

Now, compare both of them

[tex]6x+6=5y+10\\\\6x-5y=10-6\\\\6x-5y=4\\\\6x=4+5y\\\\x=\frac{4}{6}+\frac{5y}{6}\\\\x=\frac{2}{3}+\frac{5y}{6}\\\\[/tex]

When,  [tex]y=0[/tex]

[tex]x=\frac{2}{3}[/tex]

Now when [tex]x=\frac{2}{3}[/tex], then

[tex]\frac{2}{3}=\frac{2}{3}+\frac{5y}{6}\\\\\frac{5y}{6}=0\\\\y=0[/tex]

Put [tex]x=\frac{2}{3},y=0[/tex] in the given equation

[tex]6x+6=6(\frac{2}{3})+6\\\\=2(2)+6\\\\=4+6\\\\=10[/tex]

[tex]5y+10=5(0)+10\\\\=10[/tex]

Hence, the answer is [tex]10.[/tex]

To know more about the equation

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2 Points
What type of mortgage has regular mortgage payments that are expected for
a set period of time, and at the end of that period, the remainder of the loan is
due, but the final payment is much larger than the regular mortgage
payments and is due at one time?
A. Hybrid ARM
B. Balloon payment
C. ARM
D. Balloon mortgage
Answer: Balloon Mortgage

Answers

Answer: Balloon Mortgage

Step-by-step explanation:

The type of mortgage described in the question is a "Balloon Mortgage." Option D.

What is a balloon mortgage?

A balloon mortgage is a loan with regular mortgage payments over a set period, typically ranging from 5 to 7 years, but at the end of this term, the remaining balance (the "balloon" payment) becomes due in one large installment.

This final payment is significantly larger than the regular mortgage payments made throughout the loan term. Borrowers often use this type of mortgage when they expect to refinance or sell the property before the balloon payment is due.

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Factor the GCF:
24x3 + 8x

Answers

Answer:

8x(3x^2 +1)

Step-by-step explanation:

24x^3 + 8x

We can factor out 8x

8x(3x^2 +1)

A local diner purchased a jukebox for 9400. The business makes a down payment of 1000 and agrees to pay 36 payments of 275 per month find the finance charge.

Answers

Answer:

Finance charge = $1500

Step-by-step explanation:

Cost price of  jukebox = $9400

Down payment made by a local diner = $1000

Balance amount to be paid = 9400 - 1000 = $8400

In order to pay the balance amount diner agreed upon the installments = $275 per month for 36 months

Total amount to be paid in 36 months = 275 × 36 = $9900

So extra payment done = Total balance amount - Amount paid in 36 installments

= 9900 - 8400

= $1500

Therefore, finance charge paid by the diner was $1500.

What is the reflection of point P(-1, 6) across the line y = x?
A) P(-6, 1)
B) P(-6, -1)
C) P(6, -1)
D) P(6, 1)

Answers

Answer:

C

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

P(- 1, 6 ) → P'(6, - 1 ) → C

What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 427
2 units
4 units
8 units
16 units

Answers

Answer:

8 unit

Step-by-step explanation:

i tkink (x+5)2+(y-3)2=427

Please I need help with this question.
No 22. Is very important.
Thank you.​

Answers

Answer:

C. [tex]132m^3[/tex]

Step-by-step explanation:

Height = 4

Length = 6

Breadth = 7

Note : We were asked to find volume of the cuboid

Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.

 Step 1

Find the area of the trapezium

Area of a trapezium = [tex]\frac{1}{2} (a+b)h[/tex]

[tex]\frac{1}{2} (4+7)*4[/tex]

[tex]\frac{1}{2} (11)4\\[/tex]

[tex]\frac{1}{2} *44\\= 22[/tex]

 Step 2

Calculate the volume of the cuboid

Volume of a cuboid =length× breadth × height

In this case , the volume will be our length ×  Area of a trapezium

 V= 6 × 22

V = [tex]132m^3[/tex]

Find the equation of the circle with center at (-1, 3) and radius of 4.
a. (x-1)2 + ( + 3)2 = 4
c. (x - 1)2 + (y+ 3) = 16
b. (x + 1)2 + (0 - 3)2 = 4
d. (x + 1)2 + (y - 3)2 = 16
Please select the best answer from the choices provided

Answers

I think it would be A

Simplify: -5g + 2h - 3g + g -2h

Answers

-7g+h you have to simplify by adding and subtracting same values so h’s together and g’s together

Answer: The answer is -7g

Step-by-step explanation:

-5g+2h-3g+g-2h

-5g+2h-3g+g-2h

=-7g+2h-2h

=-7g

If the solutions of a quadratic equation are x = 7 and x = -5 write the possible trinomial these solutions could have derived from.

Answers

X^2-2x-35
(X+5)(x-7)

1. Scientists randomly select ten groups from a population of men over 50 years old. They calculate the mean
weights of each of these groups. The variability between these means can be best attributed to
(1) measurement variability
(3) induced variability
(2) natural variability
(4) sampling variability

Answers

Answer:

Step-by-step explanation:

Sampling Variability

Hope that helped! :)

Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3?

Answers

Answer:

it opens down meaning it has a maximum instead of a minimum. the graph has a horizontal shift of 3 spaces to the right

Step-by-step explanation:

Rita had a roll of film developed for $7.38. Her flash wasn't working so only 9 pictures turned out. How much did each picture cost her?
A.
$16.38
B.
$1.64
C.
$0.82
D.
$66.42

Answers

It’s D) because 7.38x9 is 66.42

Answer:

D. $66.42

Step-by-step explanation:

If I'm correct (which I highly doubt...)

You multiply 7.38 and 9

That should give $66.42

Sorry if I'm wrong...

And if I'm wrong, my second option would be C. $0.82

tamara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month

Answers

Answer:

her monthly would be $624

Step-by-step explanation:

this is because 8 dollars an hour times 25 hours in 200$ a week

that multiplied by 0.78 (which is how you take off 22 percent) would give you 156.

156$*4 is 624$

I hope this helps a little better

Answer:

its b

Step-by-step explanation:

took the test thank me later <3

PLEASE HELP 100 POINTS

HELP ME FIND THE MEAN

23, 5, 7, 18, 34, 9, 14, 18, 34, 28, 42, 16

Answers

Answer:

Hello! The answer is 20.66

Step-by-step explanation:

1. You have to add up all the numbers in the set (248)

2. You have to divide by how much numbers are in the set by their added amount. (12)

248 ÷ 12 = 20.66

Hope This Helps ;)

Please mark brainliest :)

Answer:

20.66666.... or 20 2/3

Step-by-step explanation:

the average i added all up and divided by 12

PLEASE MAKE BRAINLIEST

Plez help, i am too dumb to understand math

Answers

Answer:

y+6 = 7/3(x-1)

Step-by-step explanation:

The point slope form of the equation is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y - -6 = 7/3( x -1)

y+6 = 7/3(x-1)

Answer:

D

Step-by-step explanation:

The general form of a line in point-slope form is y-k=m(x-h), where k is the y coordinate any point on the line, h is the x coordinate, and m is the slope of the line. Therefore, the equation of this line would be y+6=7/3(x-1), or choice D. Hope this helps!

Points G and H are located at (15,7) and (-9,7) on the coordinate plane.
What is the distance between the two points?
A. 6 units
B. 8 units
C. 14 units
D. 24 units

Answers

Answer:D

Step-by-step explanation:

The awnser is 24 units

PLS HELP I NEED IT RN WILL MARK THE BRAINLIEST PLSLSPSophie invests a total of $4500 in two separate accounts. One account pays 4% interest per year and the other one pays 4.75% per year. If the total interest earned at the end of one year is $202.50, how much money did she invest in each account?

Answers

Answer:

4% account - $1500

4.75% account - $3000

Step-by-step explanation:

x = amount of money in the account that pays 4% interest

y = amount of money in the account that pays 4.75% interest

x + y = 4500

0.04x + 0.0475y = 202.50

4x + 4y = 18000

4x + 4.75y = 20250

  4x + 4y = 18000

- (4x + 4.75y = 20250)

= -0.75y = -2250

y = 3000

x + 3000 = 4500

x = 1500

I hope this helps!

PLEASE ANSWER!! I WILL GIVE BRAINIEST TO WHOEVER ANSWERS THIS FIRST!!!!!!!!!!!!!!!!!!!!!!!!!!!


What is the area of the figure?
An irregular shape that is made of two rectangles end to end that are eight inches long each and four inches wide. The total length of the base is sixteen inches. With two right triangles on top of the rectangles so the right angles meet the sides of the rectangles. The total length of each side with the width of the rectangle and the side of the triangle is seven inches.
A. 88 square inches
B. 96 square inches
C. 120 square inches
D. 80 square inches

Answers

Answer:

d

Step-by-step explanation:

:)

In the figure, b and c are parallel lines. Which of the following statements are true?

1.Joe claims the measure of angle 3 is equal to 90 degrees.Is he correct?why or why not
2.state the measure of angle 5 and how you know

Thank you!

Answers

Answer:

1. No, Joe is not correct

2. [tex]\angle 5=72^{\circ}[/tex]

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. [tex]\angle 5[/tex]

Solution:

1.

Sum of two angles that form a linear pair is equal to [tex]180^{\circ}[/tex]

[tex]\angle 3+72^{\circ}=180^{\circ}[/tex] (linear pair)

[tex]\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}[/tex]

So, Joe is not correct

2.

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

[tex]\angle 5=72^{\circ}[/tex] (alternate interior angles)

what are the solutions of 2x^2 +16+34=0?

Answers

Answer:

5i, and - 5i ⇒ ± 5i

Step-by-step explanation:

We are given the equation 2x^2 + 16 + 34 = 0;

2x^2 + 16 + 34 = 0 ⇒ subtract ( 16 + 34 ) from either side of equation,

2x^2 = - 50 ⇒ divide either side by 2,

x^2 = - 25 ⇒ take square root on either side of equation,

| x | = √ - 25 ⇒ apply imaginary value i,

± 5i, provided absolute value sign | |;

Solution; ± 5i

Find the equation of the line. Use exact numbers.

Answers

Answer: [tex]y=4x-9[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

I know b is -9 because there's where the line crosses the y intersection.

[tex]y=mx-9[/tex]

To find ''m'', we can use 2 different methods. I'm going to use one that follows a formula. First, locate two points in the graph.

[tex](0,-9);(3,3)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{3-(-9)}{3-0}\\ m=\frac{3+9}{3}\\ m=\frac{12}{3}\\ m=4[/tex]

[tex]y=4x-9[/tex]

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Match the following items by evaluating the expression for x = -3. Which of the following processes occurs in the cells of plants? C.production of food through photosynthesisB. removal of wastesA. exchange of CO2 and O2(pick all that apply) What is the circumference and area of a circle with a radius of two Look at the photo of a community park. What should be added to this photo to support the claim that littering will ruin the park?another image showing people sitting happily on the park bencha graphic showing all the activities people can do at the parka graphic showing why people should recycle their trashanother image showing what the park would look like covered in trash Please help me with this questions! Will mark brainliest! What did farm life and city life have in common during the Han dynasty?Artisans were highly valued in both environments.Education was an important aspect of both environments.Social mobility was a feature for citizens in both environments.People living in poverty struggled to survive in both environments. What flexibility trait does a tarantula have ? Determine the number of possible positive real zeros and the number of possible negative real zeros a. positive 1; negative 3 or 1 c. positive 3 or 1; negative 1 b. positive 1; negative 2 or 1 d. positive 2 or 1; negative 1 Please select the best answer from the choices provided What number can be added to the right side of the equation to change it to a function with one real zero PLEASE HELP!!! ILL GIVE THE BRIANLIEST TO TO WHOEVER ANSWERS CORRECTLY!!!!!!! O A. 215.547O B. 234.989O C. 238.989O D. 134.589 Which two points have a undefined slope A.(-1, 1) and (1, -1)B.(-2, 2) and (2,2) C.(-3, -3) and (-3,3) D.(-4,-4) and (4, 4) Mariko is training for a race and now runs 6.5 miles in about 52 minutes. Write an equation to represent the number of minutes, n, she will take to run m miles at this rate. What is the ratio of X to O? PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 Which of these is a plant organ responsible for absorbing light energy to make food? aroot bfruit cleaf dpetal We gave a national verbal proficiency test that has a mean score of 500 with a standard deviation of 75. What raw score would correspond to the 60th percentile A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches. What are the dimensions of the original picture? 3 inches by 5 inches 3 inches by 15 inches 6 inches by 12 inches 27 inches by 45 inches To bend a joint, one muscle _____ while another muscle returns to its original length. contracts extends vibrates lengthens Write the value of the expression 3^3/3^6 What do you use a pen for