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Jerome will be buying a used car for $8,000 in 3 years. How much money should he ask his parents for now so that the invests it at 10% compounded continuously, he will have enough to buy the car.

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Final Answer:

Jerome should ask his parents for approximately $6,300.47 now to ensure he has enough to buy the car in 3 years, assuming an interest rate of 10% compounded continuously.

Step-by-step explanation:

To determine how much money Jerome needs to ask his parents for, we can use the formula for compound interest continuously compounded: A = P * e^(rt), where:

A is the future value (in this case, $8,000),

P is the principal (the amount Jerome needs now),

r is the interest rate (10% or 0.10), and

t is the time in years (3).

Rearranging the formula to solve for P, we get P = A / e^(rt). Substituting the known values, we find P = 8000 / e^(0.10 * 3) ≈ $6,300.47.

Therefore, to ensure Jerome has $8,000 in 3 years, he should ask his parents for approximately $6,300.47 now, assuming an interest rate of 10% compounded continuously. This calculation ensures that the investment grows to the desired future value by considering the continuous compounding of interest over the given period.

User Paul Sturm
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