Solve the problem.In the formula A(t) = A0ekt, A is the amount of radioactive material remaining from an initial amount A0 at a given time t, and k is a negative constant determined by the nature of the material. A certain radioactive isotope decays at a rate of 0.3% annually. Determine the half-life of this isotope, to the nearest year.

A. 100 yr
B. 167 yr
C. 2 yr
D. 231 yr


Answer: D

Mathematics

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Perform the indicated operation(s). Simplify if possible. - 9x

A.
B.
C.
D.

Mathematics

Find the derivative of the function and evaluate the derivative at the given x-value.f(x) = 5x2 + x at x = -4

A. f'(x) = 10x - 1; f'(-4) = -41 B. f'(x) = x - 10; f'(-4) = -14 C. f'(x) = 10x + 1; f'(-4) = -39 D. f'(x) = x + 10; f'(-4) = 6

Mathematics

Solve the problem.Annica owes $794.71 on her charge card. She returns for credit items costing $14.11 and $48.28. She makes a purchase for $25.66 and additional purchases of $48.65, $158.50, and $113.55. She then makes a payment of $861.58. Find the amount she now owes.

A. $217.10 B. $1247.54 C. $1372.32 D. $341.88

Mathematics

Solve.Write the equivalent decimal and fraction for 200%.

A. 2, 2
B. 200, 200
C. 0.02, 
D. 0.2, 

Mathematics