The revenue of a of a summer resort is approximately (t+3) (t+3) - 2 sin 6 6 R(t)=3(7+cos2 thousand of dollars during the tth week (t = 1 corresponds to the first week of June) (a) Find the week in which the revenue is increasing most rapidly. (b) When does the resort realized the greatest revenue? 3)). ,0t12 Q:2-4 Q: 2-4 marks. Country A borrows 10000 dollars from Country B for 10 years at a monthly compounding rate of 5. Country A uses 5000 dollars for the repayment of another debt. For the repayment to Country B, Country A invest the rest of money. It is estimated that the money is expected to grow at a continuous compounding rate of 10. How long will it take for country A to be able to pay back country B? Scrooge lend 1000 CAD to Bob for 10 years. Scrooge would like to increase 1000 CAD to 5000CAD. If he will lend the money compounded continuously, how much nominal rate should he set? Ana invested 5500 six years ago into a savings account which has since paid interest at a nominal interest rate compounded quarterly. Her investment is now worth 6580.27 (a) Find the nominal interest rate per year. (b) How long will it take her investment to grow to an amount of $7500 if the nominal interest rate is 3% compounded quarterly? Note: Write your answers with four decimal places.