Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly. Assuming no more deposits and no withdrawals are made, how much money is in the account after 4 years? Compound interest formula:mc002-1. Jpg t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years $6,360. 00 $6,370. 78 $7,180. 89 $10,892. 13.

Respuesta :

There is $6,370. 78 money is in the account after 4 years.

Given

Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly.

Compound interest

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

The amount after 4 years is calculate by following formula;

[tex]\rm V(t)= P(1+\dfrac{r}{n})^{nt}[/tex]

Where t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years.

Substitute all the values in the formula;

[tex]\rm V(t)=6,000\times (1+\dfrac{0.015}{12})^{12\times 4}\\\\V(t)=6,370.78[/tex]

Hence, there is $6,370. 78 money is in the account after 4 years.

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Answer:

it's b $6,370.78

Step-by-step explanation:

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