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emmainna [20.7K]
3 years ago
6

You deposit ​$18,000 into a savings account at a bank that has a rate of 66​% compounded monthly. Find the amount of money in th

e account after 44 years. 
Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0
Equation you are going to use is A = P(1+ \frac{r}{n}) ^{nt} where A is the amount earned, P is the initial/principal amount, R is the rate, N is the number of periods the amount is compounded, and t is the time in years.

P = 18000, R = 66% or .66, N = monthly so 12, T = 44 years.

So plugging it we get A = 18000( 1 +  \frac{.66}{12})^{44*12}.

Type that into your calculator or an excel sheet for your answer. My calculator  (a TI-36X Pro) gives me 3.40856195_{E}16 which isn't  a very practical answer for money calculations. 
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Initial salary =  $50,000 .

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<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

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= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



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