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. A certain radioactive isotope has a half-life of approximately 1500 years. How many years would be required for a given amount of this isotope to decay to 25% of that amount?

A. 3000 years
B. 2975 years
C. 623 years
D. 1125 years


Answer: A

Mathematics

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Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) =  - 9

A. f-1(x) = x3 + 9
B. f-1(x) = (x + 9)3
C. f-1(x) =  + 9
D. f-1(x) = (x - 9)3

Mathematics

Expand the expression using the Binomial Theorem.(4x + 3)3

A. 16x2 + 24x + 9 B. 64x3 + 144x2 + 108x + 27 C. 64x3 + 144x2 + 144x + 27 D. 16x6 + 12x3 + 729

Mathematics

Simplify.(33rb2sct)(34rb3sc2t)

A. 37rb5sc3t B. 37r + b5s + c3t C. 2187rb5sc3t D. 312rb6sc2t

Mathematics

Simplify the expression. All variables represent positive real numbers.

A.
B. y12
C. y6
D. y20

Mathematics