Question 837584



You put $5000 in a savings account which earns compound interest at a rate of .5% per month. If you don't make any deposits or withdrawls, how much will you have in your account in 30 years?
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1st.) Get important information out of the question.


$5000 deposited into savings
0.5%  interest rate: compounded per month
30 years


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2nd.) Use equation: A=P(1+r/n)^nt



P=Starting amount
n=Number of times it's compounded
r=(Interest)Rate
t=Time


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3rd.) Using equation from above, plug in the values you got from the problem. Change the percent into decimal form. Also n=12 since it's compounded monthly.


**Side note- I like to take care of exponents first on this type of problem since it's easy to make mistakes on this.


A=P(1+r/n)^nt
A=$5000[1+(0.005/12)]^(12)(30)
A=$5000[1+(0.005/12)]^360
A=$5000[1+(0.000416667)]^360
A=$5000[1.000416667)]^360
A=$5000[1.161797946]
A=$5808.989729


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4th.) In 30 years you will have $5808.98 in your savings account.