The president of a company predicts that sales will increase rapidly after a new product is brought to the market and that the number of units sold monthly can be modeled by N 50.000(o.80where t represents the number of months a the product is introduced. a) How many units will be sold by the end of the fourth month? N-units Suppose that the number of employees in a new company is expected to grow, with the number of employees modeled by N-4000(0.03), where t is the number of years after the company was formed a) How many employees did the company have when it started? N-emplayees The number of students infected with flu at a high school after t days is modeled by 300 the function P(t)- The school will close when 200 of the 300 students are infected. After how many days will the school close? +99e 0.3t days If $7000 is invested at 3% compounded continuously, what is the amount after 2 years? What lump sum must be invested at 9%, compounded monthly, for the investment to grow to $52,000 in 5 years? The lump sum $1 invested at 9%, compounded monthly, grows to $52,000 in 5 years 0.061 12 At the end of t years, the future value of an investment of $11,000 in an accourt that pays 6% APR compounded monthly is S-11 ,000| 1 + no withdrawals or additional deposits, how long will it take for the investment to amount to $44,000? 12dollars. Assuming Complete parts (a) through (d). 189 a. Graph the function f(x)- forx-0 to x = 10. 1+2e3x b. Find f(0) and f(10). c. Is this function increasing or decreasing? d. What is the limiting value of this function? 400 The number of students infected with flu at a high school after t days is modeled by the function P(t)- 19e 0.3t The school will close when 300 of the 400 students are infected After how many days will the school close? days The spread of a highly contagious virus in a high school can be described by the logistic function 3600 1+899e0x where x is the number of days after the virus is identified in the school and y is the total number of people who are infected by the virus. (a) Graph the function for 0 sxs15. (b) How many students had the virus when it was first discovered? (c) What is the upper limit of the number infected by the virus during this period? An amount of $2000 is invested at 11% interest, compounded daily a. Find the future value in 6 years. b. Determine whether more or less money would have accrued if the money had been compounded quarterly
