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(Related to Checkpoint 5.5) (Solving for n ) How many years will it take for $480 to grow to $996.74 if it's invested at 8 percent compounded annually? The number of years it will take for $480 to grow to $996.74 at 8 percent compounded annually is years. (Round to one decimal place.) (Related to Checkpoint 5.4) (Present value) Ronen Consulting has just realized an accounting error that has resulted in an unfunded liability of $385,000 due in 27 years. In other words, they will need $385,000 in 27 years. Toni Flanders, the company's CEO, is scrambling to discount the liability to the present to assist in valuing the firm's stock. If the appropriate discount rate is 7 percent, what is the present value of the liability? If the appropriate discount rate is 7 percent, the present value of the $385,000 liability due in 27 years is $ (Round to the nearest cent.) (Related to Checkpoint 5.6) (Solving for i ) At what annual interest rate, compounded annually, would $510 have to be invested for it to grow to $1,931.79 in 14 years? The annual interest rate, compounded annually, at which $510 must be invested for it to grow to $1,931.79 in 14 years is \%. (Round to two decimal places.) (Solving for n with non-annual periods) Approximately how many years would it take for an investment to grow threefold if it were invested at 8 percent compounded weekly? Assume that you invest $1 today. If you invest $1 at 8 percent compounded weekly, about how many years would it take for your investment to grow threefold to $3 ? (Hint: Remember to convert your calculator solution to years.) years (Round to one decimal place.) (Related to Checkpoint 5.6) (Solving for i ) Kirk Van Houten, who has been married for 21 years, would like to buy his wife an expensive diamond ring with a platinum setting on their 30-year wedding anniversary. Assume that the cost of the ring will be $12,500 in 9 years. Kirk currently has $4,554 to invest. What annual rate of return must Kirk earn on his investment to accumulate enough money to pay for the ring? The annual rate of return Kirk must earn on his investment to accumulate enough money to pay for the ring is %. (Round to two decimal places.) (Related to Checkpoint 5.4) (Present value) What is the present value of $700 to be received 14 years from now discounted back to the present at 8 percent? The present value of $700 to be received 14 years from now discounted back to the present at 8 percent is $. (Round to the nearest cent.)