Adrian invested $7,200 in an account paying an interest rate of 3.1% 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 $12,110?

Respuesta :

Answer:

17

Step-by-step explanation:

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. It takes 17 year for the value of the account to reach $12,110.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

Adrian invested $7,200 in an account paying an interest rate of 3.1% compounded monthly. for the value of the account to reach $12,110 we need to find the time it takes.

The principal amount = $7,200

Rate = 3.1%

Compound Interest = [tex]P(1+r/n)^{rt}[/tex]

                      12,110  =  [tex]7200(1+3.1/12)^{3.1t}[/tex]

                            t = 17

Thus, for the value of the account to reach $12,110 the time taken is 17.

Learn more about Compound Interest;

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