You are saving for your retirement by investing $1000 per month in an annuity with a guaranteed interest rate of 6% per year. With a continuous stream of investment and continuous compounding, how much will you have accumulated in the annuity by the time you retire in 15 years? Round your answer to the nearest cent.
?
A. $180,000.00
B. $1,459.60
C. $691,920.62
D. $281,313.93
E. $291,920.62
Answer: E
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Determine whether the integral converges or diverges.
A. diverges, ?
for x ? 7,
diverges
B. diverges, ?
for x ? 7,
diverges
C. converges, ?
for x ? 7,
converges
D. converges, ?
for x ? 7,
converges
Find the value of df-1/dx at x = f(a).f(x) = x + 6, a = -3
A.
B. 2
C.
D. 6
Translate to a system of two equations, then solve.Paul invested three times as much money in an account paying 5% interest than he did in an account paying 4% interest. If the total interest paid was $475, how much did he invest in each?
A. $7500 at 5%, $2500 at 4% B. $75 at 5%, $25 at 4% C. $7500 at 5%, $3000 at 4% D. $2500 at 5%, $7500 at 4%
Provide an appropriate response.The difference between the original amount of a loan and the future value is called:
A. simple interest B. compound interest C. present value D. compound total