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Solve the Problem e0.05te ^ { 0.05 t } = 10017 Years
B) a = 80,000 - 56,000

Question 45

Multiple Choice

Solve the problem.
-An initial deposit of $24,000 is made into an account that earns 5% compounded continuously. Money is then withdrawn at a constant rate of $4000 a year until the amount in the account is 0. Find the equation for the amount in the account at any time t. When is the amount 0?


A) A = 60,000 - 36,000 e0.05te ^ { 0.05 t } = 10.017 years
B) A = 80,000 - 56,000 e0.05t\mathrm { e } ^ { 0.05 \mathrm { t } } = 8.352 years
C) A = 80,000 - 56,000 e0.05te ^ { 0.05 t } = 7.134 years
D) A = 60,000 - 36,000 e0.05te ^ { 0.05 t } = 8.352 years

Correct Answer:

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