What is the present value of an investment that will be worth $6000 at the end of five years? Assume an APR of 6% compounded monthly. (Round your answers to the nearest cent.)

Answers

Answer 1

Answer:

4448.23

Step-by-step explanation:

[tex]AV=PV(1+\frac{i}{n})^{nt}\\\\6000=PV(1+\frac{.06}{12})^{5*12}\\\\6000=PV*1.3488\\\\PV= 4448.23[/tex]

Answer 2

The present value of an investment that will be worth $6000 at the end of five years is, $4448.23

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Annual value = $6,000

Time = 5 years

Rate = 6%

Hence, We get;

A = P (1 + r/n)ⁿˣ

Substitute all the values, we get;

⇒ 6000 = P (1 + 0.6/12)⁶⁰

⇒ 6000 = P × 1.3488

⇒ P = $4448.23

Thus, The present value of an investment that will be worth $6000 at the end of five years is, $4448.23

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Related Questions

A large bookstore took in $4,000,000 in sales last year.
The ratio of book sales to other sales was 5 to 3.
How much money in book sales did the store take in?

Answers

They took in $2,500,000 in book sales.

1 hr=3.6 ×10^3 seconds
1 day =24 hrs
1 year =3.65 ×10^2days
use scientific notation to calculate the number of seconds in 3 days​

Answers

Answer:

1 Year = 8.76 x 10³ Hours

please guys correct answers!​

Answers

Answer:

4t*4t*4t*4t*4t

Step-by-step explanation:

I NEED HELP ASAP PLEASE HELP ME

Answers

the answer is 102 degree. it’s a supplementary angle, so 180-78= 102.

Answer:

102

Step-by-step explanation:

Has to equal up to 180° so 180-78 gives you 102.

The volume of a cone is 800 cubic cm and the radius is 9 cm. Calculate the height.

Answers

Answer:

Step-by-step explanation:

[tex]v =\frac{1}{3} \pi r^{2} h[/tex]

[tex]800=\pi 9^{2} /3[/tex]

[tex]800*3=\pi 81 *height[/tex]

[tex]height=2400/81 * \pi[/tex]

=2400/254.34

=9.4362

PLS ANSWER!!!! i need help plsssssss

Answers

Answer:

Sorry dude, I don't know, but maybe someone else will come and answer!!!

Step-by-step explanation:

Which graph does NOT represent function

Answers

Answer: The first graph.

Step-by-step explanation: This is because when you have a function on a graph there is only on part of the coordinate touching on the line if you look there are more then on function in this problem.

The number 18 is which percentage of 15

Answers

Answer:

120%

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

18 dived by 15 times 100.

A 15 inch string is cut. One piece is 7.2 in. Which equation shows how to find the 2nd length?
how did you get the answer i need the fast hurry please

Answers

Answer:

7.2+x=15

x=15-7.2

x=7.8

Ana read 7 books. Each book had 5 chapters. She read the same amount of chapters every day for "n" days

Answers

is there more to the question i can’t figure it out what i’m supposed to be solving
Hi pan I have no no clue why lol is a

Multiply.
1 2/9X 1 4/5

Answers

Answer:

Equals 2.2

Step-by-step explanation:

hope it's useful

The answer is 44/45.

For all values of x , x 2 + 6 x − 2 = ( x + p ) 2 + q Find the value of p and the value of q .

Answers

Answer:

p = 3 and q = 7

Step-by-step explanation:

Given the equation x^2 + 6 x − 2 = ( x + p )^2 + q we are to find the value of p and the value of q .

x^2 + 6 x − 2 = ( x + p )^2 + q

Using the completing the square method on x^2 + 6 x − 2

x^2 + 6 x − 2

= x^2+6x+ 9 - 2 + 9

= (x^2+3x+3x+9)+7

= x(x+3)+3(x+3) + 7

= (x+3)(x+3)+7

= (x+3)^2+7

Compare to the right hand side

(x+3)^2+7 =  ( x + p )^2 + q

p = 3 and q = 7

A woodworker wants to cut a board that is 29.313 feet long into 9
equal-length pieces. How long will each of the cut boards be?

Answers

Answer:

3.257

Step-by-step explanation:

Answer:

3.257

Step-by-step explanation:

Because he wants to cut in equal pieces. So we have to divide the number by 9.

find the volume of 4ft 2 ft 3 ft​

Answers

Answer:

24

Step-by-step explanation:

Help plsssssss i beg

Answers

They tell you how to set it up. Take the #s & plug them in. The just divide.
A=.27 B=.25 B is the Best Buy.
C=.34 D=.40. C is the Best Buy.
I think you could solve this yourself with a calculator.

A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.55. Emily spends
$16.02 on 3 paint sets at the sale price.
What was the price of I paint set before the sale? Enter the answer in the box.

Answers

Answer:

$6.89

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89

WILL MARK BRAINLIEST!!

Find the inequality represented by the graph.

Answers

The equation of the line is y = 3x -4 (b = -4, the intercept) (m= rise/run = 3/1 from intercept to other point rise 3 units run 1 to the right)
Since the line is dotted, we can't include any of.the values on the line, inequalities will not be “or equal to”. Since the blue shaded area is BELOW the line, we use the “less than” inequality.

Final answer y < 3x - 4

smby help meeeee plzzzz .!

Answers

Answer:

117 yards

Step-by-step explanation:

Pythag Theorem

100^2+60^2=C^2

13600=C^2

116.619038=C

Rounded up to 117 yards

(6t - 4.5) * (4.5t + 8)
Can someone help?

Answers

Answer:

Step-by-step explanation: Ok so the t(s) = 1 Ok?.... 4.5+8 = 12.5 you will need to keep that in mind ok?.... 6 - 4.5 = 1.5.

...So 12.5 x 1.5 = 18.75

Here is your Answer: 18.75

If s = -5 and t = 3, find the value of s 2t.
a.75
b.225
c.-75
d.30

Answers

D i’m pretty sure; -5 x 2 is -10 x 3 = 30

1. Find the coordinates of the centroid of the triangle with the given vertices.


A(2,3), B(8, 1), C(5,7)



The centroid is ( , )

Answers

9514 1404 393

Answer:

  (5, 3 2/3)

Step-by-step explanation:

The centroid is the average of the vertex coordinates:

  (A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)

Answer:

46940064

Step-by-step explanation:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

What is the sum of 4 1/2 + 5 1/2?

Answers

Answer:

10

Step-by-step explanation:

5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10

If Sarah love math what problem should she slove? 78 / 56 or 890 x 12.

Answers

Answer:

890 x 12

Step-by-step explanation:

Mr Harris had a piece of rope that measured 10 feet. He cut it into 15 equal pieces. How long was each piece?​

Answers

Answer:

I think that it is 8 inches

Step-by-step explanation:

I multiplied 10 times 12 because there is 12 inches in a foot. Then I divided 120 by 8.

I hope this is right

Find the mode, median and mean of the following data and match them with their appropriate result provided below. 3, 12, 11, 7, 5, 5, 6, 4, 10

Answers

How to get the mode:

- To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

{3, 4, 5, 5, 6, 7, 10, 11, 12} => 5

How to get mean:

- The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

(3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 10) / 9

=> 63 / 9

=> 7

How to get median:

- To find the median, first order the numbers from smallest to largest. Then find the middle number

3, 4, 5, 5, 6, 7, 10, 11, 12

So the middle number is 6

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

Mean: 7

Median: 6

Mode: 5

Ethan decided to give 10% of his monthly income to charity. This month, he wrote the calculation at right. Explain why this calculation is appropriate and finish it for him. How much money should he give this month?

Answers

Answer:

Sorry, you didn't post the equation.

Step-by-step explanation:

Maybe you could post a new and complete question?

1. A circular pond has a circumference of about C feet. The diameter of the pond is 7 feet. Which expression best
represents the value of p/?

Answers

Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences. Identify the relative location of the Mediterranean climate region in Europe. What are the three main characteristics of this climate region? Describe the plants and animals that are located in its ecosystem. Write your answer in complete sentences.

Answer:

i dont get it

t

Step-by-step explanation:

i

What's the scale factor? ​

Answers

Answer:

2.5

Step-by-step explanation:

25 / 10 = 2.5

Check with 6in

6 x 2.5 = 15

Answer:

15/6

Step-by-step explanation:

the scale factor is one of the sides of rectangle EFGH over the corresponding side of rectangle ABCD. In this case, we know the two sides AB and GH so we can use them since they also correspond. Therefore, the scale factor from ABCD to EFGH is going to be 15/6.

Hope this helps!!

Which is greater. 12 laps in 8 minutes or 16 laps in 10 minutes

Answers

Answer:

16 laps in one minute

Step-by-step explanation:

If you divide it you can find that the person will run 1.6 laps in a minute and the other one will run 1.5 laps in 1 minute.

3 *
(2 points)
A brick has a mass of 18.4kg and a volume of 923cm°. Evaluate the density of the brick in g/cm3 rounded to 3

Answers

18.4kg = 1840g
D = m / v
1840 / 923 = 1.993

The density of brick can be obtained for the given case as 197.616 g/cm³.

What is the ratio of two numbers?

The ratio of two numbers a and b can be written as a : b = a/b.

The ratio of two quantities is the unit rate of one quantity with respect to the other.

The mass and volume of the brick are 18.4 kg and 923cm³ respectively.

Mass can be converted into gram as 18.4 × 1000 = 18400 g.

Since, the density is given as ratio of mass and volume.

It can be calculated as below,

⇒ 182400 ÷ 923 = 197.616 g/cm³.

Hence, the density of the brick can be obtained as 197.616 g/cm³.

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