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dybincka [34]
3 years ago
12

Your grandparents deposit $2,000 each year on your birthday, starting the day you are born, in an account that pays 7% interest

compounded annually. How much will you have in the account on your 21st birthday, just after your grandparents make their deposit
Business
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

The money you will have is $98020.

Explanation:

It is given that grandparents deposit $2,000 each year on birthday and the account pays 7% interest compounded annually also the time is 21 years.

we will use the compound interest formula  A=P (1 + \frac{r}{100})^{t}.

For the first birthday the amount after 21 yr will be:

A=2000(1+\frac{7}{100})^{21}

Similarly for the second birthday amount after 20yr will be:

A=2000(1+\frac{7}{100})^{20}

likewise, the last compound will be:

A=2000(1+\frac{7}{100})^1

The total value of such compounding would be :

\text {Total amount}=2000(1+\frac{7}{100})^{21}+2000(1+\frac{7}{100})^{20}...2000(1+\frac{7}{100})^{1}

\text {Total amount}=2000[(1+\frac{7}{100})^{21}+(1+\frac{7}{100})^{20}...(1+\frac{7}{100})^{1}]

\text{Total amount} \approx 2000(48.01)

\text{Total amount} \approx 96020

The total amount just after your grandparents make their​ deposit  is:

≈($96020+2000)

≈$98020

Hence, the money you will have is $98020.

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