Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. There are currently 78 million cars in a certain country, decreasing by 0.8% annually. How many years will it take for this country to have 60 million cars? Round to the nearest year.
A. 18 years
B. 361 years
C. 33 years
D. 23 years
Answer: C
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Find the angle between u and v in radians.u = 2i + 10j + 8k, v = 10i + 4j + 3k
A. 1.28 B. 1.51 C. 0.62 D. 0.95
Provide an appropriate response.A retailer buys 75 boxes of computer paper at $33.60 per box. He retails a box at $51.48. If he sells all 75 boxes, what is his profit?
A. $3,861 B. $2,520 C. $1,416 D. $1,341
Identify where f is increasing and where f is decreasing.f(x) = -
A. increasing: [-8, ?); decreasing: never B. increasing: [8, ?); decreasing: never C. increasing: never; decreasing: [8, ?) D. increasing: never; decreasing: [-8, ?)
Solve the problem.A bacterial culture has an initial population of 10,000. If its population declines to 6000 in 2 hours, what will it be at the end of 4 hours? Assume that the population decreases according to the exponential model.
A. 8434 B. 1800 C. 3600 D. 2000