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9. Suppose you invest $2000 at an annual interest rate of 5.1% compounded continuously. How much will you have in the account after 3 years? Round the solution to the nearest dollar. $2453 $2324 $2443 $2331

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kbracey
The answer is $2453 hope it helps

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Principal amount = $2000

Rate of interest = 5.1% compounded continuously

Number of years = 3 years.

As we know the formula for Compound interest when rate is compounded continuously :

[tex]Amount=Pe^{rn}\\\\Amount=2000e^{\frac{5.1}{100}\times 3}\\\\Amount-2000e^{0.051\times 3}\\\\Amount=\$2330.64\\\\Amount=\$2331[/tex]

Hence, Fourth option is correct.

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