* Only need answers broke college student can't increase price offered

1. It is known that the quantity demanded of a certain make of portable hair dryer isxhundred units/week and the corresponding wholesale unit price is p= sqrt(576-8x)dollars. Determine the consumers' surplus if the market price is set at$20/unit. (Round your answer to two decimal places.)

2.The manufacturer of a brand of mattresses will makexhundred units available in the market when the unit price is p=50+70e^0.06x

^{(a) Find the number of mattresses the manufacturer will make available in the market place if the unit price is set at$400/mattress. (Round your answer to the nearest integer.) (b) Use the result of part (a) to find the producers' surplus if the unit price is set at$400/mattress. (Round your answer to the nearest dollar.) 3.}Suppose an investment is expected to generate income at the rate of R(t) = 200,000dollars/year for the next4years. Find the present value of this investment if the prevailing interest rate is6%/year compounded continuously. (Round your answer to the nearest whole number.)

4.Camille purchased a17-year franchise for a computer outlet store that is expected to generate income at the rate of R(t) = 400,000dollars/year. If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (Round your answer to the nearest whole number.)

5.Find the amount of an annuity if$300/month is paid into it for a period of 20 years, earning interest at the rate of2%/year compounded continuously. (Round your answer to the nearest whole number.)

6.Find the amount of an annuity if$420/month is paid into it for a period of 20 years, earning interest at the rate of7%/year compounded continuously. (Round your answer to the nearest whole number.)

7.Aiso deposits$110/month in a savings account paying7%/year compounded continuously. Estimate the amount that will be in his account after 15 years. (Round your answer to the nearest whole number.)

8.The Armstrongs wish to establish a custodial account to finance their children's education. If they deposit$210monthly for 10 years in a savings account paying5%/year compounded continuously, how much will their savings account be worth at the end of this period? (Round your answer to the nearest whole number.)

9.A state lottery commission pays the winner of the "Million Dollar" lottery 20 annual installments of $50,000 each. If the prevailing interest rate is4%/year compounded continuously, find the present value of the winning ticket. (Round your answer to two decimal places.)