A golf ball is manufactured so that if it is dropped from A feet above the ground onto a hard surface, the maximum height of each bounce will be one half of the height of the previous bounce. a. Find an exponential equation that gives the heighth the ball will attain during the nth bounce. h = b. If the ball is dropped from 8 feet above the ground onto hard a surface, how high will it bounce on the 9th bounce? On the 9th bounce, the ball will reach a height of feet. Suppose it takes 8 hours for a certain strain of bacteria to reproduce by dividing in half. If 55 bacteria are present to begin with, the total number present after a days is f(x) = 55.8. Find the total number present after 1, 2, and 3 days. There will be bacteria present after 1 day, after 2 days and after 3 days. The declining-balance method of depreciation is an accounting method businesses use to deduct most of the cost of new equipment during the first few years of purchase. Unlike other methods, the declining-balance formula does not consider salvage value. For the value of a crane, the function V(t) = 350000(1-0.25)', where V is value and t is time in years, can be used to find the value of the crane for the first 8 years of use. a. What is the value if the crane after 4 years and 3 months? The value of the crane will be $ b. State the domain of the function. t c. State the range of this function. V(t) Question 14 For the problem below, a. Write a function that describes exponential growth. b. Use your calculator to graph the function. c. Evaluate the function at the given values. Sales of Windsurfers have increased 12 % per year since 2000. If Sunsails sold 1500 Windsurfers in 2000, how many did it sell in 2005? How many should it expect to sell in 2012? a. S(t) = c. 2005: 2012: Question Help: VideoeBook D Post to forum Submit Question Question 20 b a. The table describes exponential growth or decay. Find the growth or decay factor. b. Complete the table. Round values to two decimal places if necessary. 3 w 0 N 10 Question Help: Submit Question < 1 2 6.4 > eBook Post to forum 4 Question 21 a. The graph represents exponential growth or decay. Find the initial value and the growth or decay factor. b. Write a formula for the function. a. Po 20 18 16 = 14 12 10 8 6 -2-1.5-1-0.5 0 0.5 1 1.5 2 2.5 3 + 27 and b b. P(x) = Question Help: eBook Post to forum Submit Question Question 22 a. The graph represents exponential growth or decay. Find the initial value and the growth or decay factor. b. Write a formula for the function. 1001 90 801 Foll 60f! 50+ 401 30+ 201 104 a. Po = N .6 Submit Question 8 and b X b. P(x) Question Help: eBook Post to forum