SOLUTION: Find the amount if $400 is invested at 13% compounded monthly for 8 months.

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Question 540615: Find the amount if $400 is invested at 13% compounded monthly for 8 months.
Answer by jpg7n16(66) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem, you'd use the "compounding" formula:
p%2A%28%281%2Bi%29%5En%29=x
"x" is the future amount of money. That's what we're solving for. (x=???)
"P" is the orignal amount (p=$400)
"i" is the rate of compounding interest each period. The problem says 13%, but how often does it compound? Monthly. So you need to divide it by 12. i=.13%2F12
"n" is the number of compounding periods. The problem gives you 8 months, and thankfully it's compounded monthly, so nothing to do here (n=8)
Then it's just a matter of plugging in your pieces back into the formula, and solving for X.
p%2A%28%281%2Bi%29%5En%29=x
400%2A%28%281%2B%28.13%2F12%29%29%5E8%29=x
400%2A%281.010833%5E8%29=x
400%2A%281.090025%29=x
x=436.01
After 8 months, you would have $436.01.