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This is a Calculus for Business . (10 points) You invest $15, 000 in an account that compounds continuously at 6.75% for 5 years. (a)

This is a Calculus for Business

. (10 points) You invest $15, 000 in an account that compounds continuously at 6.75% for 5 years. (a) What is the future value A(t) in the account after the 5 years? Write the formula for this calculation and then use a calculator to round this number to the nearest cent. (b) If A(t) represents the amount in the account after t years, then explain what the equation A'(10) = 2800 means for this account

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