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Autumn invested $2,800 in an account paying an interest rate of 6.2% compounded

monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 8 years?

2 Answers

1 vote

Answer:

4590Explanation:

User Abhishek Asthana
by
5.2k points
3 votes

Answer: There would be $4590 (approx.) in the account after 8 years.

Explanation:

Formula to calculate accumulated amount if compounded monthly :


A= P(1+(r)/(12*100))^(12t), where P+ principal value, r = rate of interest , t = time.

Given: P=$2,800 , r = 6.2%

t= 8 years

Substitute all values in the formula , we get


A=2800(1+(6.2)/(1200))^(12*8)\\\\=2800(1+0.005167)^(96)\\\\=2800(1.005167)^(96)\\\\=2800(1.64009619996)=4592.2693\approx4590\text{ [Rounded to the nearest ten dollars] }

Hence, There would be $4590 (approx.) in the account after 8 years.

User Suneesh Jacob
by
4.6k points