5.Kate plans to retire at age 60. At that time, she wants to have enough to invest in a travel account so that she can go on a world trip every four years until she reaches 76, i.e. at ages 64, 68, 72 and 76. Each trip will cost $10138. If the interest rate is 4.9% p.a. compounded quarterly, how much should she deposit in the travel account at age 60. (Give your answer to the nearest cent, omitting the dollar sign.)

6.An investment of $27001, earning compound interest, grows by $2284 in one year. At this rate of growth, how long will it take for the original investment to double? (Express your answer in years, correct to one decimal point.)