Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the future value of this ordinary annuity. a. $ 13,782.12 O b. $ 8,223.66 c. $ 21,315.22 O d. non of them e. $ 31,201.08

Answers

Answer 1

Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

[tex]Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\[/tex]

Future value of annuity (FV) = $13,782.12 (Approx)


Related Questions

What are the coordinates of the origin?
(1,1)
(0,0)
(-1,1)
(1,-1)

Answers

Answer:

(0,0)

Step-by-step explanation:

Answer:

0,0 because that’s were it starts at

Step-by-step explanation:

Can i get brainiest think

Fatima paid for 5 pallets of grass to be delivered each pallet of grass cost 129.95. Fatima paid $76.20 for delivery. What is the total amount Fatima paid?

Answers

129.95 x 5 = 649.75

649.75 + 76.20 = 725.96

is the relationship in this picture a function
if so why?​

Answers

Answer:

PLEASE BE CAREFUL NightmareMech14 IS A PREDATOR HE ASKS FOR VIDEOS OF GIRLS AND TRYS TO GET THEM TO EMAIL HIM DONT GIVE HIM ANY INFORMATION STAY SAFE COPY AND PASTE THIS EVERYWHERE

Step-by-step explanation:

3. Yeirilis spent $24.45 on a shirt. She paid with
$30. What is her change?

Answers

Answer:

30.00 - 24.45

her change is

$ 5.55

On the day that Tony was born his grandmother invested $2200 in a certificate of deposit that pays a 3% interest
rate compounded annually. How much money will there be in the account on his 16th birthday?

Answers

Answer:

$3530.3541

Step-by-step explanation:

Given that:

Principal = 2200

Interest rate compounded annually (r) = 3%

Time (t) = 16 years

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

A = 2200(1 + 0.03)^16

A = 2200(1.03)^16

A = 2200 * 1.60470643909878751793

A = $3530.3541

Hence, amount in account on his 16th birthday will be $3530. 3541

Please answer this correctly without making mistakes

Answers

Dale should use the $15 dollars off coupon to save the most money which costs 47.00.

25% off of 47.00 is 45.49.

$15 off of 47.00 is 32.00.

The $15 off coupon makes the DVD player cost less, so he should use that one.

John bought a used car that costs $13,500. If the sales tax on the car is 8%, how much sales tax did he pay?​

Answers

Answer:

1,080

Step-by-step explanation:

QUICK MATH

PLEASE HELP MEEEEEEEEEEEEEE ILL GIVE U 50 coins for the right answer

Simplify the expression. Explain each step (0+c)+12

Answers

Answer:

x+12

Step-by-step explanation:

(0+c)+12

0+c+12

c+12+0

c+12

Hope this helps plz hit the crown :D

The problem to solve is:

(0+c)+12

0+c evaluates to +c

0 + 12 = 12

The answer is 12+c

(0+c)+12 evaluates to 12+c

The final answer is

12+c

Guess my favorite color and I'll give you a brainly if your right

Answers

Step-by-step explanation

Orange

I tried

Answer:

White.

Tan.

Yellow.

Orange.

Red.

Pink.

Purple.

Blue.

Black.

Silver.

Gold.

Rainbow.

What’s the answer for this?

Answers

Answer: That is the answers.

Step-by-step explanation:

Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{\frac{5x}{x^{2} -4} }{\frac{8x}{x+2} }[/tex]

Answers

Answer:

[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]

hope it helps:)

HELP ME HELP ME HELP ME HELP HELP MEEEE

Answers

Answer:

Infinatly many solutions

Step-by-step explanation:

mark me brainlyest

Answer:

i would say a or b but probably b

Step-by-step explanation:

please help it’s urgent!!

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

Since when translating down it moves the Y variable and not the X and when reflecting it will turn negative X (-3) into positive 3

A store bought an airplane poster and marked it up 100% from the
original cost of $5. Later on, Isabella purchased the airplane poster
and paid 10% sales tax. How much, including tax, did she pay for the
airplane poster?

Answers

She paid 11 dollars total

Step-by-step explanation:

100% of $5 is $10

10% of $10 is $1

10 + 1 = 11

Y= |x| + 2

Complete the table below

Answers

Answer:

5

3

2

3

5

Step-by-step explanation:

I need help with this one

Answers

Answer:

that's your answer

Solve for x for the triangle

Answers

Answer:

(appx) 4.3

Step-by-step explanation:

[tex] \sin(64) = \frac{x}{10} [/tex]

[tex] = > 0.43 = \frac{x}{10} [/tex]

[tex] = > x = 4.3[/tex]

SRRY IK LAST QUESTION FOR REAL THIS TIME

Answers

Answer:

Option (A)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder given in the question,

V = π([tex]\frac{18}{2}[/tex])²(8)

  = 648π

  = 2035.8 km²

Volume of the given cylinder is 2035.8 km².

Option (A) will be the answer.

Order the numbers from greatest to least value.
1.444.
29|13
0.875
47|45

Answers

Answer:

0.875, 47/45, 1.444, 29/13

Step-by-step explanation:

0.875 is the least then 47/45 is 1.0444 as a decimal then 1.444 then 29/13 is 2.23 as a decimal hope that helps

The Martin family and the Kelly family each used their sprinklers last summer. The water output rate for the Martin family's sprinkler was 30L per hour. The water output rate for the Kelly family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 60 hours resulting in a total water output of 1925L. How long was each sprinkler used?​

Answers

Answer:

The Martins used their sprinkler for 35 hours, while the Kellys used their sprinkler for 25 hours.

Step-by-step explanation:

As the Martins and the Kellys used their sprinklers for 60 hours combined last summer, and the water output rate of the Martins' sprinkler is 30 liters per hour, while the Kelly's is 35 liters per hour To determine how many hours each family used their sprinklers, knowing that in total 1925 liters of water were used, the following logical reasoning must be carried out:

There is a 5 liter difference between the Kelly sprinkler and the Martin sprinkler. If both used 30 liters of water per hour, for 60 hours 1800 liters (30 x 60) would have been used. Therefore, there is an excess of 125 liters that corresponds to an excess of consumption, attributable to the Kelly sprinkler, which consumes 5 liters more of water per hour than the Martin's. Thus, since 125/5 equals 25, in total the Kellys used their sprinkler for 25 hours, while the Martins did it for 35 hours.

This reasoning is proved with the following calculation:

25 x 35 = 875

35 x 30 = 1,050

875 + 1,050 = 1,925

Select the correct answer.
The graph below represents the following system of inequalities.
y> - 2
y > 21 + 2




Which point (x,y) satisfies the given system of inequalities?
OA (-1,-6)
OB. (1,-6)
OC. (-3,-1)

Answers

The answer is C: (-3,-1)

To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you

Here is proof the answer is C :

y > x - 2

(lets plug in point C)

-1 > -3 - 2

solve

-1 > -5 ?

Yes this statement is true- onto the next inequalitity!

y > 2x + 2

-1 > 2(-3) + 2

solve

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Know we know answer c (-3,-1) is the right answer!

The point (x,y) satisfies the given system of inequalities is C. (-3,-1).

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Given that The graph below represents the following system of inequalities.

y> - 2

y > 21 + 2

So, y > x - 2

Lets plug in point C;

-1 > -3 - 2

solve;

-1 > -5 ?

Yes this statement is true- onto the next inequalitity.

y > 2x + 2

-1 > 2(-3) + 2

solve;

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Therefore, the point (x,y) satisfies the given system of inequalities is C. (-3,-1).

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ6

Mohammed used an area model to show 4x35

What is the missing number

Answers

Answer: 140

Step-by-step explanation:

32.5 divided by 67.9

Answers

Answer:

0.47864506627

Step-by-step explanation:


What is the ABSOLUTE maximum value of this graph?

Answers

Answer:

the absolute maximum is 3 because it's the highest point on the graph

Step-by-step explanation:

Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression
for Cecil's weight in terms of Dylan's weight.

Answers

I need to see the full problem

Answer: Cecil’s weight is the sum of Alan's weight and Bruce's weight.

Alan’s weight in terms of Dylan's weight is 2d + 3.

Bruce’s weight in terms of Dylan's weight in 3d − 12.

So, the expression for Cecil’s weight in terms of Dylan’s weight is (2d + 3) + (3d − 12).

Como puedo calcular tasa de crecimiento?

Answers

Answer:

Si quiere decir en un gráfico, busque cuántas unidades se eleva la coordenada y, a continuación, se ejecuta (izquierda o derecha).

Si algo no suena lo siento mi español es malo. ;--;

3(1)+2(_)=6

plz help on filling in the blank

Answers

Answer:

x = 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

(3)(1)+2x=6

Step 1: Simplify both sides of the equation.

(3)(1)+2x=6

3+2x=6

2x+3=6

Step 2: Subtract 3 from both sides.

2x+3−3=6−3

2x=3

Step 3: Divide both sides by 2.

2x/2  3/2

x = 3/2

Hope this helps :)

From 10 am to 4 pm the temperature changed -36 degrees. If the temperature changed equally for the last 6 hours, How much did it change each hour?

Answers

Answer:

-6 degrees per hour

Step-by-step explanation:

divide -36 by 6(the number of hours) and get -6

Answer:

6 degrees

Step-by-step explanation:

it changed 6 degrees every hour

What is the range of the function?

Answers

Answer:

(0, 10)

Step-by-step explanation:

There is a dotted line at the end, therefore, it doesn't keep going so its (0, 10)

1.
ENGINEERING At an engineering school, students are challenged to design
a container that prevents an egg from breaking when dropped from a height of
50 feet. Write an equation giving a container's heighth (in feet above the
ground after t seconds. How long does the container take to hit the ground?

Answers

Answer:

b

Step-by-step explanation:

b

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