Question summary: A student's parents offer him one of two options in order to receive scholarship money for college. Option A: Deposit $20,000.00 into his account and then an additional $550.00 each day for 30 days. or Option B: Deposit $1.50 into his account and then double that amount each day for only 15 days. When rounded to the nearest cent, how much money is deposited into his account on the last day (day 30) for Option A, and how much is deposited into his account on the last day (day 15) for Option B? If the student only keeps what is deposited on the last day, which option should he choose? Option A versus Option B Day 0 1 2 Amount Deposited $20,000.00 $20,550.00 $21,100.00 O A = $45,132.03, B = $191,751.06; B because he receives $146,619.03 more. O A = $36,500.00, B = $24.00; A because he receives $36,476.00 more. O A = $36,500.00, B = $49,152.00; B because he receives $12,652.00 more. O A = $45,132.03, B = $49,152.00; A because he receives $4,019.97 more. Day 0 1 2 Amount Deposited $1.50 $3.00 $6.00 If a computer depreciates at a rate of 24% per year, what is the monthly depreciation rate? 6.33% 8.17% 2.00% 4.33% An automobile is depreciating at 10% per year every year. A $22,000 car depreciating at this rate can be modeled by the equation V(t) = 22,000(0.90) *. What is an equivalent equation for this vehicle at a daily depreciation, and what is it worth (rounded to the nearest dollar) 5 years after purchase? 22,000 (1.00026) 365, $35, 356 22,000(0.90)865, $12,991 22, 000(0.9997)', $21,967 22,000(0.9997) 3654, $12, 724 A student is attempting to sketch a graph of the function f(x) 32-1. What are the values of the horizontal asymptote and the x-intercept of the graph? O The horizontal asymptote is y=-1 and the x-intercept is at (-2,0). O The horizontal asymptote is y = 1 and the x-intercept is at (3,0). The horizontal asymptote is y = 2 and the x-intercept is at (-1,0). The horizontal asymptote is y = -1 and the x-intercept is at (2,0). The graph of y = 5(10) + 2 is shown. What is the x-intercept (rounded to the nearest tenth), the horizontal asymptote, and does it represent exponential growth or decay? 14 13 12 -11 7 -6 -5 4 2 1 x-int: (7,0), Horizontal Asymptote is y = 7, and this is exponential decay O x-int: none, Horizontal Asymptote is y = 2, and this is exponential growth O x-int:(0,7), Horizontal Asymptote is x = 1, and this is exponential decay O x-int: none, Horizontal Asymptote is y = 7, and this is exponential growth A certain strain of bacteria that is growing on your kitchen counter doubles every 5 minutes. Assuming you start with only one bacterium, using the equation A = Pekt and a continuous growth rate of 0.1386, how many bacteria could be present at the end of 96 minutes? O98,863 O 600,549 O 524,288 O 124,583 The population of a particular city is given by the function P(t) = 82,100 (1.02)", where t is the time in years, and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) after 15 years? Hint: Percentage Growth Rate = 100, in A = Ap(1+r)t O 82,100, 10.2% annually, and 352,425 O 82,100, 20% semi-annually, and 985,200 O 82,100,2% annually, and 110,496 O 82,100, 2% semi-annually, and 110,658