If $5,600 is deposited into an account paying 5% interest compounded annually, how much money is in the account agter 3 years?

User Icon for drwls drwls answered
15 years ago

5600*(1.05)^3 = ?

http://www.google.com/search?source=ig&hl=en&rlz=&q=5600*%281.05%29%5E3+%3D&btnG=Google+Search&aq=f&oq=&aqi=

User Icon for kati kati answered
15 years ago

Is the answer $6482.70?

User Icon for drwls drwls answered
15 years ago

Yes

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the amount of money in the account after 3 years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the future value of the investment/amount in the account
P = the principal amount (initial deposit)
r = annual interest rate (in decimal form)
n = number of times the interest is compounded per year
t = number of years

In this case:
P = $5,600
r = 5% or 0.05 (converted to decimal form)
n = 1 (compounded annually, so only once per year)
t = 3 years

Now we can plug in the values into the formula and calculate the amount:

A = 5,600(1 + 0.05/1)^(1*3)
A = 5,600(1.05)^3
A ≈ 5,600(1.157625)
A ≈ $6,476.75

Therefore, the amount of money in the account after 3 years would be approximately $6,476.75.