The amount of a sample remaining after t days is given by the equation mc001-1.jpg, where a is the initial amount of the sample and h is the half-life, in days, of the substance. a scientist has a 10-mg sample of a radioactive isotope. the isotope has a half-life of 8 days. after 16 days, how much of the radioactive isotope remains? 2.0 mg 2.5 mg 5.7 mg 7.1 mg

P(t)= A(1/2)^(t/h)

P(t)=10(1/2)^(16/8)

(1/2)^(16/8) =.25

P(t)=10(.25)

P(t)=2.5

Therefore the answer is B. 2.5mg.

b. 2.5 mg

just took the test on edge

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

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the answer will be d: 2