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PLEASE HELP ME

Santiago wants $75000 at the end of 8 years in order to buy a car. If his bank pays 4.8% interest, compounded semi-annually, how much must he deposit every six months in order to reach his goal?

User Jstruzik
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1 Answer

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Answer:

we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

Explanation:

To solve this problem, we can use the formula for compound interest:

FV = PV(1 + r/n)^(nt)

where:

FV is the future value (in this case, the amount Santiago wants to save, $75000)

PV is the present value (the amount Santiago needs to deposit every six months)

r is the annual interest rate (4.8% in this case)

n is the number of times the interest is compounded per year (semi-annually, or 2 times per year in this case)

t is the number of years Santiago is saving for (8 years in this case)

Rearranging the formula to solve for PV, we get:

PV = FV / (1 + r/n)^(nt)

Plugging in the values from the problem, we get:

PV = $75000 / (1 + 0.048/2)^(2*8)

Thus, we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

User Benoit Larochelle
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