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


Answer: A

Mathematics

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Find z1z2. Write the answer in polar form with the argument between 0° and 360°.z1 = 10(cos 30° + i sin 30°), z2 = 5(cos 10° + i sin 10°)

A. 50(cos 300° + i sin 300°) B. 15(cos 300° + i sin 300°) C. 50(cos 40° + i sin 40°) D. 15(cos 40° + i sin 40°)

Mathematics

Solve the problem.A thermometer reading 8°C is brought into a room with a constant temperature of 25°C. If the thermometer reads 18°C after 4 minutes, what will it read after being in the room for 10 minutes? Assume the cooling follows Newton's Law of Cooling:   U = T + (Uo - T)ekt.(Round your answer to two decimal places.)

A. -7.95°C B. 26.85°C C. 23.15°C D. 25°C

Mathematics

Solve.Acme Computer Products finds that the marginal revenue R in producing x computer networking connectors is given by the polynomial function  dollars/connector. Find an equivalent expression for R(x) by factoring out x.

A. x
B. x(900 - x)
C. x
D. x

Mathematics

Perform the indicated operation. Simplify the result if possible.2 ft 10 in. + 14 ft 6 in.

A. 17 ft 4 in. B. 16 ft 4 in. C. 17 ft 6 in. D. 16 ft 6 in.

Mathematics