Need some help with the problems I have attached below

You havejust won the lottery. The Lottery Corporation offers you two options: 0 a lump-sum payment of $1 million, or 0 an annual installment of $100,000 over the next 15 years. At what interest rate, r, will you be indifferent between the two options? Select one: A a. 10.00% A b. 7.75% -A c. 5.56% A d. 2.74% A e. 50.00% The formula Annual Payment I (r - g) calculates the Select one: A a. future value of an annuity due. A b. present value of a growing annuity. A c. present value of a perpetuity. A d. future value ofa perpetuity. A e. present value of a growing perpetuity. Regulations for Canadian nancial institutions require that mortgage rates be quoted with Select one: C a. continuous compounding. O b. monthly compounding. O c. quarterly compounding. Q d. semi-annual compounding. o e. annual compounding. When you go into a car dealership to buy a car, the car salesman must quote the nancing rate in terms of Select one: C\" a. effective annual rate. C\"; b. effective periodic rate. C\"; c. periodic percentage rate. C\" d. annual market rate. 0 e. annual percentage rate. Juliet has a 10-year mortgage of $500,000 with an interest rate of 3.5% APR, compounded quarterly. Mortgage payments are made at the beginning of each month. What is the balance remaining on this mortgage after the 60th payment? Select one: C\"; a. $216,077 C\" b. $270,937 C\" c. $275,065 (j d. $266,797 C\" e. $250,000 A 10-year investment will pay $1,800 at the end of this year, and the payments will grow at a rate of 5% per year. The required return is 12%. What is the present value of this investment? Select one: C\" a. $5,590.53 C\An investment will pay $225 per year (indenitely), starting in one year's time. The annual payments will grow at a rate of 3% per year. If the price of this investment is $2,000, what is its rate of return? Select one: C a. 11.25% C b. 14.00% (i c. 14.25% (T, d. 15.00% (i e. 17.25% Mike Smith just turned 16 years old. He wishes to buy a used car in two years, and he is willing to spend $8,000. He plans to work part- time and put all his monthly earnings into a bank account that will pay 0.25% interest per month. How much must he save per month in order to be able to purchase the car in two years? Select one: C a. $754.72 (7, D. $416.67 C c. $405.33 (7, (L $333.33 C\