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kirill115 [55]
3 years ago
13

Sabena invests $250 in an account that earns 2.4% interest per year compounded continuously. How many years will it take the acc

ount to have a value of $300?
Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

It'll take 7.5967 years to have $300 on that account.

Step-by-step explanation:

This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:

M = C*e^(i*t)

Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:

300 = 250*e^(0.024*t)

e^(0.024*t) = 300/250

e^(0.024*t) = 1.2

0.024*t = ln(1.2)

t = ln(1.2)/0.024 = 7.5967

It'll take 7.5967 years to have $300 on that account.

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