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Question 17 (5 marks) How much does Robyn need to deposit into an account to collect $50 000 at the end of 4 years if the account is paying 6% compounded quarterly?Question 19 (8 marks) Kerry wishes to invest $10000 for one year. She is deciding whether to invest in a high interest bank account in bank A or bank B or in shares of Company C. Using the information given below, determine which option will give kerry the highest return either from interest or dividends paid. You need to fully justify your recommendations using mathematical reasoning. . Bank A account pays 8.80% per annum, compounding quarterly. Bank B account pays 8.75% per annum, compounding monthly. . The current market price of the shares of Company C is $12.50 and the company pays an annual dividend of $1.12 per share.Part C - Complex unfamiliar Question 18 (6 marks) A catering company works out its pricing based on a fixed cost for overheads and a charge per person. It is known that a party of 40 people costs $1114, whereas a party for 70 people costs $1819. Use this information (a) To construct a mathematical model and use it to find the fixed cost and cost charged per person by the company. (b) If a different catering company charges no fixed cost but the charge per person is $12 higher, which is the better option. Justify the reasonableness of the solution