Answer the Questions below with explaining on how its been solved, words around three hundred to four hundred words, Answers and explanation

all etisalat 1:34 PM 38% X Business Math Assignment 1.pdf University of Sharjah College of Science Department of Mathematics Business Math Assignment (1) - Spring 2020 Name: . . . . . ID No.: . . Section: . . . (1) Find the accumulated amount of 2000 dollars invested at the interest rate of 8% per year for 10 years compounded semiannually. (2) A bank deposit paying simple interest grew from an initial sum of 1000 dollars to a sum of 1075 dollars in 9 months. Find the interest rate. (3) Find the effective rate of interest corresponding to the nominal rate of 8 per year compounded monthly. (4) How long will it take an investment of 8000 dollars to double if the investment earns interest at the rate of 8% per year compounded con- tinuously. (5) Ahmed deposits 100 dollars at the end of each month in a saving account earning interest at the rate of 5% per year compounded monthly, how much will he have in his savings account at the end of 6 years, assuming that he makes no withdrawals during that period? (6) Find the present value of an ordinary annuity consisting of 36 monthly payments of 150 dollars each and earning interest at 6% per year com- pounded monthly. (7) A sum of 100,000 dollars is to be repaid over a 10-year period through equal installments made at the end of each year. If an interest rate is 10% per year, determine the size of each installment so that the loan is amortized at the end of 10 years. (8) Find f(1) + f(2) + f(3) + ... + f(25), given that f(x) = 3x - 5. (9) Find the fifteenth term of the geometric progression with first term equals to - and fifth term equals to 8. (10) The starting salary in a company is 48000 dollars. The employee has the option of taking an annual raise of 8% per year or a fixed annual raise of 4000 dollars per year for each of the following three years. Which option would be more profitable considering the total earnings over the 4-year period