4. Financial Mathematics (30pts) (N=1) a. Manon borrowed $1525+ (N = 100), 10 years ago at a certain compound interest rate capitalized annually. If it pays today $4000 (capital and interest), what was the rate? b. What was the duration in years) of Andre's loan if he borrowed $6000 + (60$ + N) at a rate of 12% interest and that he is paying back today 6960$? What is the value acquired (Final value) by a capital of 800$+ (100+N)S after 20 years at the compound interest rate of 2% (nominal), capitalized daily 365 days) d. Robert just won 10 000$+(1000$ *N) in a Mr. Muscle contest. He is looking for an investment that would allow him to double the value of his prize. The best compound (nominal) interest rate he has found is (N+3)% capitalized monthly. How long will it take him to get what he wants? (The use of logarithms is suggested for the number d.)