Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and  when t = 0. Solve the differential equation of y when f(t) = 15t.

A. y = 750t + 37,500 + 47,500e-.02t
B. y = -750t - 37,500 + 47,500e-.02t
C. y = -750t - 37,500 + 47,500e.02t
D. y = 750t - 37,500 + 47,500e-.02t


Answer: C

Mathematics

You might also like to view...

Solve the problem.Find the length of the unknown side of the right triangle, where a and b are the legs and c is the hypotenuse. a = 6, b = ?, c = 10

A. b = 10 B. b = 8 C. b = 7 D. b = 9

Mathematics

Find the horizontal and vertical asymptotes of the graph of the function. ? 

A. Vertical asymptote: Horizontal asymptote:  and 
B. Vertical asymptotes:  and Horizontal asymptote: 
C. Vertical asymptote: Horizontal asymptote: 
D. Vertical asymptote: Horizontal asymptote: 

Mathematics

Estimate the value as a whole number or as a mixed numeral where the fractional part is .17

A. 17
B. 18
C. 18
D. 17

Mathematics

Find the mean of the scores.

7, 3, 4, 1, 6, 3 a.  3.5 b.  4 c.  3 d.  2.5 e.  6

Mathematics