Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.07t where k is a constant and t is the time in years. If the current population is 39,000, in how many years is the population expected to be 97,500?

A. 7 yr
B. 13 yr
C. 92 yr
D. 6 yr


Answer: B

Mathematics

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For the curve r(t), find an equation for the indicated plane at the given value of t.r(t) = (t + 9)i + (ln(cos t) - 8)j + 8k, -?/2 < t < ?.2; rectifying plane at t = .

A.  -  = 0
B. -  +  = 0
C. (x - (1 + 9)) = 0
D.  +  = 0

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Multiply.(9x2z)(-7yz)(-4xy2z5)

A. 252x3y3z6 B. -252x2y3z7 C. 252x3y3z7 D. 252x3y4z6

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Round as indicated.69,428 to the nearest hundred

A. 69,410 B. 69,300 C. 69,400 D. 69,500

Mathematics

Rationalize the denominator. 

A.
B.
C.
D.

Mathematics