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 decays at a rate of 0.275% annually. Determine the half-life of this isotope, to the nearest year.

A. 252 years
B. 182 years
C. 3 years
D. 109 years


Answer: A

Mathematics

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Find an equation for the tangent to the curve at the given point.y = x2 - x, (-3, 12)

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Mathematics

Use a graphical method to solve the system. Give x- and y-coordinates correct to the nearest hundredth.y = sin y = x2 - 2

A. x = 1.65, y = 0.74 or x = -1.20, y = -0.56 B. x = 1.65, y = 0.74 C. x = 1.65, y = 0.74 or x = -1.65, y = -0.74 D. x = -1.20, y = -0.56

Mathematics

Express in terms of sums and differences of logarithms.log 

A. (log x)9 + log z - (log y)3 B. 9 log x + log z - 3 log y C. 9 log x ? log z - 3 log y D. log (9x + z) - 3 log y

Mathematics

Graph the system of inequalities.2x + 3y ? 6  x - y ? 3  x ? 1

A.

B.

C.

D.

Mathematics