Camden invested $7,200 in an account paying an interest rate of 4.4% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,140?

Answers

Answer 1

The value of the account to reach $13,140 will take 14 years assuming no deposits or withdrawals are made .

What is compound interest?

Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal.

Formula of compound interest :

[tex]A = P (1+ \frac{r}{100} )^{n}[/tex]

Where,

A = final Amount

P = initial principal

r = rate per annum

n = time in years

According to the question

Camden invested (P) = $7,200

Interest rate per month (r) = 4.4%

Amount  to reach =  $13,140

now , using Formula of compound interest

[tex]A = P (1+ \frac{r}{100} )^{n}[/tex] ere , n = n/12 (as concluding monthly wise )

Substituting the values

[tex]13140 = 7200 (1+ \frac{4.4}{100} )^{\frac{n}{12} }[/tex]

1.825  = [tex](1+ \frac{4.4}{100} )^{\frac{n}{12} }[/tex]

1.825  = [tex](1..044 )^{\frac{n}{12} }[/tex]

n ≈ 168 months (approx.)

n = 14 years (nearest year)

Hence, the value of the account to reach $13,140 will take 14 years assuming no deposits or withdrawals are made .

To know more about compound interest here:

https://brainly.com/question/14295570

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