You put $900 into an account earning 2% interest compounded continuously. Find the amount in the account at the end of 12 years.

Answers

Answer 1

Given:

Principal value = $900

Rate of interest = 2% compounded continuously.

Time  = 12 years.

To find:

The amount in the account at the end of 12 years.

Solution:

If the interest compounded continuously, then the formula for amount :

[tex]A=Pe^{rt}[/tex]

Where, P is principal, r is rate of interest, t is numbers of years.

Putting P=900, r=0.02 and t=12, we get

[tex]A=900e^{0.02(12)}[/tex]

[tex]A=900e^{0.24}[/tex]

[tex]A=1144.12423529[/tex]

[tex]A\approx 1144.12[/tex]

Therefore, the amount in the account at the end of 12 years is about $1144.12.


Related Questions

For a polygon with 10 sides, which equation below represents the sum of the interior angles in the polygon?

Answers

Answer:

I mean I don't know your options, but the answer is probably something like y=180x

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Sum= (180)(8)=1440

Better:

Sum= (x-2)(180)

x represents the number of sides

So it would be

sum=(10-2)(180)

The answer then would be 1440

Can someone please help me with this question?

Answers

Answer:

Answer is D hope this helps :)

Step-by-step explanation:

The answer is “D” for the it hope this helps

Which known factor affects prices in the financial markets?
A-International stocks
B-Media speculation
C-Government policy
D-Foreign companies

I know it’s not A becuse I failed it on Frist try with that answer

Answers

Report this clown who put the first answer he’s trying to get your ip

A line has an unlimited amount of points on it. Why do you think this is true?

Answers

Answer:

bc  if it has no points  it will go on infinitely

Step-by-step explanation:

Line has at least two point, but it can have unlimited amount of point. Even a short line can have unlimited amount of points.

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
1

Answers

Answer:

(5,-1) Hope It Help

Step-by-step explanation:

Brainliest please

how to solve x=7y+3 and 9y-x=-1 using the subsituation method

Answers

Answer:

x=10  y=1

Step-by-step explanation:

A large candy bar was 102 calories. The smaller candy bar has 18 percent less
calories. How many calories does the smaller candy bar have?

Answers

Answer:

89 I think

Step-by-step explanation:

my bad if I'm wrong I bearly woke up

NEED HELP ASAP
Charlie and Lupita both opened bank accounts and deposited $25 each. Lupita used her debit card to buy lunch for $10. Charlie used his debit card to buy a new video game for $50. Which of the following statements about their accounts is NOT true?
Charlie owes the bank more than Lupita has in her account.
The value of Charlie's account is greater than that of Lupita's.
The money in Lupita's account is not enough to pay off Charlie's debt.
Even if Charlie were to add $25 to his account, its value would still be less than Lupita's.

Answers

Answer:

B

Step-by-step explanation:

3x + 2y = -2
2x - 2y = -18

Answers

Answer:

What’s your Question?

Step-by-step explanation:

if 5 men has 25 eggs, how many eggs will 4 men have​

Answers

Answer: 20 eggs

Step-by-step explanation:

The rate is 5. 25/5=5.

4*5=20

Hope this helps!

Answer:

The answer of your question is 20 eggs

Which ordered pair is not in the solution set of y > 2x + 1

A. (1, 4)

B.(1, 6)

C.(3, 8)

D.(2, 5)

Answers

Answer:

A. (1, 4)

Step-by-step explanation:

Sana makatulong

If the compound interest paid for rupees 4000 is rupees 420 then find the

amount paid at the end of the time period​

Answers

Answer:

[tex]Amount = Rs4420[/tex]

Step-by-step explanation:

Given

[tex]Principal = Rs4000[/tex]

[tex]Interest = Rs420[/tex]

Required

Determine the amount paid

This is calculated as:

[tex]Amount = Principal + Interest[/tex]

[tex]Amount = Rs4000 + Rs420[/tex]

[tex]Amount = Rs4420[/tex]

Please look at photo and ignore already selected answer

Answers

Answer:

Question (A) firgue b is pallorgram

Question ( B) Only A is a rentengle

Question (C) is already right

Step-by-step explanation:

A. Shape B
B. Shape A
C. Shape C

Mark as brainliest plz

you buy two packages of almonds and mix them together into one bowl one package is 4.08 kg and the other is 6.81 kg how much is in the bowl

Answers

ummmmmmmmmmmmmmmmmm 10.89kg

7. If m∠AEB = 75°, then m∠AED =
8. If m∠1 = 35°, then m∠4 =

Answers

Answer:

7. If m∠AEB = 75°, then m∠AED = 105.

8. If m∠1 = 35°, then m∠4 = 35.

A car travels 30 km in 5.5 hours and 400 km in 5.5 hours find the average speed of the car during the entire journey

Answers

Answer:

This is your answer

Answer:  39.09 km per hour average

Step-by-step explanation:

add total distance and divide by total time

(30+400)/(5.5+5.5)

430/11=39.0909

Karl earned scores of 58, 88, 80, and 70 on his first 4 Chemistry tests. What is the minimum score he needs to earn on his fifth test to ensure that his average score for the 5 tests will be at least 75 ?

Answers

Answer: 50

Step-by-step explanation:

First let's set up an equation by calling the score he needs to get, x:

[tex]\frac{58 + 88 + 80 + 70 + x }{5}[/tex] = 75

58 + 88 + 80 + 70 + x = 75 x 5

296 + x = 375

x = 79

Karl scored 79 marks in 5th test.

What is Average?

The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average.

Average = (Sum of values)/(Total number of values).

Given:

Karl earned scores of 58, 88, 80, and 70.

The average of 5 test = 75

let the marks scored in 5th test is x.

Then, (x+ 58 + 88 + 80 + 70)/ 5= 75

x+ 58 + 88 + 80 + 70 = 375

x + 296 = 375

x= 375- 296

x = 79

Hence, the marks on 5th test is 79.

Learn more about Average here:

https://brainly.com/question/27193544

#SPJ2

Evaluate 12÷s−∣−2∣ if s=0.6

Answers

Answer:

s=20 divided by 12

Step-by-step explanation:

Peter is 8 years younger than Jonne. In 5 years time, Jonne will be twice as old as Peter. How old is Peter now?

Answers

Answer:

Age of Peter = 3 year

Step-by-step explanation:

Given:

Peter is 8 years younger than Jonne

Assume;

Age of Jonne = a

So,

Age of Peter = a - 8

After 5 years,

2[a - 8 + 5] = a + 5

2a - 6 = a + 5

a = 11

Age of Jonne = 11

Age of Peter = 11 - 8

Age of Peter = 3 year

A person invested $7,400 in an account growing at a rate allowing the money to
double every 6 years. How much money would be in the account after 4 years, to the
nearest dollar?

Answers

Using an exponential function, it is found that $11,747 will be in the account after 4 years.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, considering the initial investment of $7,400, and the fact that it doubles every 6 years, the equation is given by:

[tex]A(t) = 7400(2)^{\frac{t}{6}}[/tex]

Hence the amount in 4 years is given by:

[tex]A(4) = 7400(2)^{\frac{4}{6}} = 11747[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

Step-by-step explanation:

11747

Can someone help me with these two charts please

Answers

The answer to this question is you need to use the BOFA Method hope this helped

(13x + 12x) divided by 4 = 10

What is x

Answers

Answer: x is 8/5

Step-by-step explanation:

Answer:

x = [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{13x+12x}{4}[/tex] = 10 ( multiply both sides by 4 to clear the fraction )

25x = 40 ( divide both sides by 25 )

x = [tex]\frac{40}{25}[/tex] = [tex]\frac{8}{5}[/tex]

please help me tysm if you do

Answers

Answer:

R=155°

S=25°

T=155°

Step-by-step explanation:

R + 25° =180°

R = 180° - 25°

R = 155°

(2) S + 155° =180°

S = 180° - 155°

S = 25°

T = R because t is opposite of r

I hope this was helpful

In a right triangle, if sin 0 = 8/17 what is cos 0 explain?

Answers

Answer:

We have sin² x + cos² x =1 for all real x.

Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².

However, remember that if x² = a², then x can be +a or –a.

Therefore, sin x can be either –15/17 or +15/17.

Everyone but Anirban so far has forgotten the negative solution.

Step-by-step explanation:

Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.

Suppose a scientist has 13 liters of acid and she needs 16 liters for an experiment.
How many more liters of acid does she need for the experiment?

Which equation best describes this situation?

a. 16+x=13

b. 13+x=16

c. x=13

d. x=16

Answers

B cause 13 plus x is equal to the 16 liters that u need and u already have 13 liters

what is the median for 9, 7, 7, 4, 7, 3, 6, 5,

Answers

Answer:

The Median is 6.5

Step-by-step explanation:

Other options in case

Mean - 6

Median - 6.5

Mode - 7

Range - 6

The median is 6 and 5

How much netherite do i need to make a full beacon again?
Sorry i know this is random i just really wanna know

Answers

Answer:

5,904 scraps

Step-by-step explanation:

36 by 164 blocks

Which of the following points has coordinates that are 5 horizontal units from point A?

A. left parenthesis 3 comma 2 right parenthesis
B. left parenthesis 3 comma 7 right parenthesis
C. left parenthesis negative 2 comma 7 right parenthesis
D. left parenthesis 5 comma 2 right parenthesis

Answers

Answer:

A. left parenthesis 3 comma 2 right parenthesis

Step-by-step explanation:

It's correct 100%

The Oates family went out to
dinner. The price of the meal was
$33.95. They left a 15% tip.
What was the total cost?

Answers

The price of the meal was $33.95 x 15%= $5.09 tip add both together the total cost was $39.04

Answer:

$39.04

Step-by-step explanation:

1.Approach

To solve this problem, one must first find the amount of tip that was left, then add the value to the cost of the meal. The amount of tip given can be found by dividing the percent value of the tip by (100) and then multiplying the result by the price of the meal.

2.Find the amount of tip

To find the amount of tip that was left, divide the percent value of the tip by (100). This technique converts the percent into a decimal. After doing so,  multiply the result by the cost of the meal.

Tip as a percent: 15%

Tip as a decimal: 0.15

Amount of tip left:

33.95 * 0.15 = 5.0925

Round the result

~5.09

3.Find the total bill

Disincluding the tax, one now has to add the tip to the cost of the meal to find the total amount paid.

(tip) + (price)

= (5.09) + (33.95)

= (39.04)

Mia found the volume of a rectangular prism to be 840 mm3. As she was telling her father about it. she remembered that the base had a length of 10 mm and a width of 12 mm, but she could not remember the height maybe there is a way you can find it by going backwards . her father suggested. Can you help Mia find the height of her prism. Explain your solution.

Answers

Answer:

H = 7mm

Step-by-step explanation:

Height of Prism

So to calculate the height, multiply L · H · W. But since there is no height we will multiply what is given and then divide the volume by the product. For this case, the volume of the prism is 840 and its length is 10 and its width is 12. Multiply 10 and 12 then dividing 840 by 120. The height of the prism is 7.

Solve

Volume if the rectangular prism is given by the formula

                                             V = L · H · W

Length, Height, Width of the prism

                          L = 10mm H = 12mm Volume = 840mm³

10 · 12 · h = 840

∴ 840 ÷ 120 = 7

H = 7mm

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