You deposit $2500 in an account that pays 12% annual interest rate compounded continuously. Find the balance after 5 years.

Answers

Answer 1

Answer:

$4,555

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Total deposit (P) = $2,500

Annual interest (r) = 12%

Time period (t) = 5 years

We can calculate the balance after 5 years if compounded continuously by using following formula,

FV = P[tex]e^{rt}[/tex]

By putting the value, we get

FV = $2,500 × [tex]e^{(0.12 * 5)}[/tex]

= $2,500 ×[tex]e^{.60}[/tex]

= $2,500 × 1.822

= $4,555


Related Questions

Find the area of the circle to the nearest hundredth.

Answers

Answer:

area of circle=πr²

22/7×4²22/7x1651in²

hope it helps

stay safe healthy and happy .
It is 48 because you multiple

Virginia had an average rainfall of 24 inches last year. This year it rained 10% more than last year. How many inches of rain fell this year?

Answers

Answer:

It rained 26.4 inches this year.

Step-by-step explanation:

10% of 24 is 2.4

24 + 2.4 = 26.4

Answer:

26.4

Step-by-step explanation:

100%=240

10%=2.4

110%=26.4

In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who has a sister also has a brother?


Answer 3/8​

Answers

Answer:

[tex]P(sister) = \frac{8}{30} \\ [/tex]

Step-by-step explanation:

[tex]P(sister) = \frac{8}{30} \\ P(brother) = \frac{13}{30} \\ P(SnB) = \frac{3}{30} \\ [/tex]

use Multistep Pythagorean Theorem to answer

Answers

Answer:

√5

Step-by-step explanation:

I think that is the answer I never come to such a question of changing things to radical form but I guess 5 cannot be multiplied by a number such that it has a square root so the answer is that√5

The graph represents the distance in miles, y: that Car A travels in x minutes. The function y x represents the distance, y; that Car B travels in x minutes. Both cars are moving at a constant rate of speed. Which BEST compares the rates of the two cars? The rate of Car B is 1 of a mile per minute less than the rate of Car A 6 Bi The rate of Car A is of a mile per minute less than the rate of Car B. The rate of car B is 2 of a mile per minute greater than the rate of Car A. Car A and Car Bare traveling at the same rate per minute.​

Answers

Explain

More information
X
Step by step solutions

The ratio of students to adults on a field trip is 4 to 3. Which table correctly
represents this ratio?

Answers

The answer is A

because its the only table that has the multiples of 4 and 3

I need to figure out what x is for my homework and I’m so confused teehee.

Answers

Answer:

x = 9

Step-by-step explanation:

set a proportion: 8/12 = 6/x => 8x = 72 => x = 9

What’s the value of x

Answers

Answer:

x = 2

Step-by-step explanation:

According to the inscribed Angle Theorem, the size of an inscribed angle = ½(measure of the intercepted arc)

m<L = (7x + 9)° is an inscribed angle

m(KM) = 46° is its intercepted arc

Therefore:

7x + 9 = ½(46)

Multiply both sides by 2

2(7x + 9) = 46

14x + 18 = 46

14x + 18 - 18 = 46 - 18

14x = 28

14x/14 = 28/14

x = 2

anyone know how to do this??

Answers

Answer:

x=5ft

Step-by-step explanation:

3 is half of 6, so triangle DEF is half as big as triangle ABC. Hope this helps.

Reynaldo works at Best-Buy and earns $12.50 per hour and works 32.5 hours a week. What is his straight-time pay?

Answers

12.50 X 32.50 = 406.25
The answer is 406.25

Hope this helps :)

can someone solve this
7x+4y=12
x+2y=-4

Answers

Answer:9.

Step-by-step explanation:7x -4y =9. 13x = 39. x = 3. 3(3) + 2y = 15. 9 +2y =15. 2y = 6y = 3. check: 7(3)

- 4(3) = 21 - 12 = 9.

Solve for x: 5x + 15 = 75

Answers

Answer:

x = 12

Step-by-step explanation:

5x + 15 = 75

      -15   -15

5x = 60

x = 12

If you need 3 cups of flour for 1 batch of cookies, how many cups of flour will you need for 3 batches of cookies?

Answers

Answer:

9 cups of flour

Step-by-step explanation:

[tex]\frac{3}{1} =\frac{y}{3}[/tex]

3:1 = y:3

1 × y = 3 × 3

y = 9

9 cups of flour

Answer:

1 batch = 3cups

so, we need to find how many cups of flour we'll need for 3 batches if 1 batch equals 3 cups....

1 batch = 3 cups

X

3 batches = a

a= 3 batches x 3 cups

= 9 cups

HELP!!! Need to find the Area (Pic)

Answers

Answer: 173.82cm^2

Step-by-step explanation:

Tracy a teacher is and she's paid a monthly salary of $3,728 calculate her salary per annum

Answers

Answer:

$44,736

-

Hourly: $21.51

Daily: $172.06

Weekly: $860

Bi-Weekly: $1,721

Semi-Monthly: $1,864

Monthly: $3,728

Quarterly: $11,184

Annual: $44,736

h(x) = 2.25 x ; 3 CAN YOU HELP ME PLZ!!!

Answers

Answer:

x;3 h(x) = 2.25

Step-by-step explanation:

kjgtvbjjdffxghgcfhhigdvvjotesxvnnitdcvhfgjgfgghuhcgh

If 35 people going to the movie bought popcorn and that was 20% of all the people at the movie how many people were at the movie

Answers

Answer:  

Im pretty sure it would be 700 but im most likely wrong.

The correct answer is 175

If 35 people is 20% of all people, we can assume that 35 is 1/5 of all the people at the movie since 20% is 1/5 of 100%


All we have to do is multiple 35 by five.



I can prove my answer by dividing 175 by 5 which would give me 20% of 175

Help with all 4 asap thanks

Answers

Answer:

1=122

2=148

3=151

4=114

Step-by-step explanation:

i subtracted the degrees from 180 degrees and got my answer

What is the area of the shower floor ?

Answers

Answer:

42 sq feet

Step-by-step explanation:

w = 26 ÷ 2 - 7 = 6 ft

A = lw = 6 × 7 = 42

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.

A sphere with height h and radius r. A cylinder with height h and radius r.

What is the volume of the sphere?
12 centimeters cubed
24 centimeters cubed
36 centimeters cubed
54 centimeters cubed

Answers

Answer:

option a

卄卂ᐯ乇 卂 几丨匚乇 ᗪ卂ㄚ

Whats the slope of the line?

Answers

Answer:

m = rise/run = 4/5.

Step-by-step explanation:

This line goes throught the "exact" grid intersections (-2, 0) and (3, 4).  As we move from the first point to the second, we see that x increases by 5 (this is the 'run') and y increases by 4 (this is the 'rise').  Thus, the slope of this line is m = rise/run = 4/5.

find the circumfernce of the circle Use 3.14 for

Answers

Answer: To find the circumference of a circle, use the formula, 2(3.14)(r) (r is the radius, and if it gives the diameter, divide the diameter by 2 [to get the radius]). To find the actual circumference of the circle, multiply 2 and 3.14, becoming 6.28. Then, multiply 6.28 by whatever the radius is. Hope you find this useful!

Note: I am going based on no given picture and measurements of the circle, the other person that answered is, also, correct, and you could multiply the first two numbers (and then multiply the other number by the answer you received) OR multiply the first number, being 2, by the radius (and multiply that answer by the number of 3.14). For an example, the radius=10 units. You could either do 2x10=20, then 20x3.14=62.8 units^2 or multiply 3.14x2=6.28 units, then multiply 6.28 by 10, which is 62.8 units^2.

A rectangle has an area of 48 cm².
The length is three times the width.

Work out the length of the rectangle.

Answers

3x^2 = 48
Find x
x=4
Hence length is 12

Which organism can no longer be found living on Earth?


horse


trilobite


fern


sponge

Answers

Answer:

trilobite

Step-by-step explanation:

trilobites are a group of extinct marine arthropods

10.25 : -0.5 = 0
-20.5
20.5
-0.05
0.05

Answers

Answer:

20.5

Step-by-step explanation:

hope it helps you that is all I could do.

Answer pls! Will mark the brainliest

Answers

It’s 15 I’m pretty sure

Answer:

length of the side on the square is 2 cm

[tex] \frac{1}{3} {a}^{2} h = 20 \\ {a }^{2} = 20 \div 5 \\ {a}^{2} = 4 \\ a = 2[/tex]

What is the slope of a line that has points (5,-3) and (11,5) ? Remember to simplify.

Answers

Answer:

slope= y²-y¹

x²-x¹

= 5--3

11-5

= 5+3

6

= 8

6

= 4/3

or 1.33

A circle has a radius of 12 centimeters. Which expression gives the circumference of the circle, in
centimeters?
Ο Α. π(12)
B. 27(12)
C. (127)
D. 24(122)

Answers

Answer:

I believe that the answer is D. 24(122)

Step-by-step explanation:

sorry if I'm wrong.

hope this helps <3

The sphere and cylinder have the same radius and height.

A sphere is inside of a cylinder with a same radius and height.

The volume of the cylinder is 18 m3. What is the volume of the sphere?
12 m3
15 m3
18 m3
27 m3

Answers

Answer:A

Step-by-step explanation:

Correct

Answer:

A

Step-by-step explanation:

Two cards are drawn at random from a standard deck without replacement. Which of the following
represents the probability that the two cards drawn are either both kings or both queens?

Answers

Answer: .15% (point fifteen percent)  

:)

Step-by-step explanation:

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