Solve the problem.If a rock is thrown vertically upward from the top of a building 80 feet high with an initial velocity of 64 feet per second, the height, h, above ground level after t seconds is given by h = -16t2 + 64t + 80, where h is in feet and t is in seconds. What is the maximum height the rock will reach?
A. 80 ft
B. 84 ft
C. 144 ft
D. 16 ft
Answer: C
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Find the derivative of the function by first expanding or simplifying the expression. f(x) = (3x + 4)2
A. f'(x) = 9x + 16 B. f'(x) = 9x + 12 C. f'(x) = 18x + 24 D. f'(x) = 6x + 8
Solve the problem using the amortization table when necessary.AMORTIZATION (PRINCIPAL AND INTEREST PER THOUSAND DOLLARS)The monthly payments on a $86,000 loan at 7% interest for 25 years is $608.02. How much of the first monthly payment will go toward the principal?
A. $565.46 B. $501.67 C. $106.35 D. $42.56
Factor completely.-x2 - 5x + 36
A. -1(x - 9)(x + 4) B. -1(x + 9)(x - 4) C. -1(x - 9)(x - 4) D. (x + 9)(x - 4)
Solve.Suppose you just received a job offer with a starting salary of per year and a guaranteed raise of
per year. How many years will it be before you've made a total (or aggregate) salary of
?
A. 25 years B. 21 years C. 18 years D. 20 years