Solve the problem.How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 300e-0.101t, where t is the time in years? Round to the nearest hundredth year.

A. 56.47 years
B. 63.34 years
C. 30.30 years
D. 6.86 years


Answer: D

Mathematics

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Solve the compound inequality. Express the solution using interval notation. Graph the solution set.4 < 2x ? 12

A. [-6, -2)

B. (2, 6]

C. (-6, -2]

D. [2, 6)

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Write the number as a decimal.There are 2.711 × 102 miles of highways, roads, and streets in a certain city.

A. 27,110 B. 2711 C. 27.11 D. 271.1

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Solve the problem.The sales tax on a freezer is $33.25 and the sales tax rate is 5%. Find the purchase price (the price before taxes are added) and the total price paid. Round your answers to the nearest cent.

A. $66.50, $99.75 B. $554.17, $587.42 C. $665.00, $698.25 D. $831.25, $864.50

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Write as the sum and/or difference of logarithms. Express powers as factors.log 

A. log 1 - 3 log 1 - 3 log x B. log(x - 1) + log(x2 + x + 1) - 3 log x C. log(x - 1) + log(x2 + 1) - 3 log x D. log x3 - log 1 - 3 log x

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