Solve the problem.A company wishes to analyze a new room deodorizer. The active ingredient evaporates at a rate proportional to the amount present. One third of the ingredient evaporates in the first 20 days after the deodorizer is installed. If the deodorizer becomes ineffective after 85% of the active ingredient has evaporated, how long will one of these deodorizers remain effective? Round to the nearest whole number as needed.

A. 45 days
B. 100 days
C. 94 days
D. 26 days


Answer: C

Mathematics

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Use inequality notation and interval notation to describe the set. ? The annual rate of inflation r is expected to be at least 4% but no more than 9%. ?

A. Inequality : 4% ? r ? 9%Interval : [4, 9] B. Inequality : 4% < r ? 9%Interval : [4, 9] C. Inequality : 4% < r < 9%Interval : [4, 9] D. Inequality : 4% ? r < 9%Interval : [4, 9] E. Inequality : 4% > r > 9%Interval : [4, 9]

Mathematics

Find the amount of the sales tax or the tax rate and the total cost. Round money answers to the nearest cent.Cost of item: $413  Tax rate: 8%

A. $33.04, $446.04  B. $330.40, $743.40  C. $37.17, $450.17  D. $28.91, $441.91

Mathematics

Use transformations to graph the function.y = 5 cos (? - x)

A.

B.

C.

D.

Mathematics

Find the amplitude, period, and phase shift, then graph the function for one full cycle.

y = –6sin(x)

Mathematics