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When Interest Is Compounded Continuously, the Rate of Change of the Amount

Question 49

Multiple Choice

When interest is compounded continuously, the rate of change of the amount x of the investment is proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal) ; that is, When interest is compounded continuously, the rate of change of the amount x of the investment is proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal) ; that is,   . If $2,500 is invested at 7%, compounded continuously, what will be the future value of this investment after 12 years? Round to the nearest cent. ​ A) $4,600.00 B) $5,776.80 C) $5,630.48 D) $5,708.32 E) $5,790.92 . If $2,500 is invested at 7%, compounded continuously, what will be the future value of this investment after 12 years? Round to the nearest cent. ​


A) $4,600.00
B) $5,776.80
C) $5,630.48
D) $5,708.32
E) $5,790.92

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