Solve the problem.The decay of 502 mg of an isotope is given by  where A(t) is the amount remaining t years after the initial measurement. Find the amount left after 43 years. (Round to the nearest milligram.)

A. 287 mg
B. 283 mg
C. 144 mg
D. 496 mg


Answer: A

Mathematics

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Determine whether the argument is valid or invalid.The Rams will be in the playoffs if and only if Ozzie is an all-star. Mark loves the Rams or Ozzie is an all-star. Mark does not love the Rams. Therefore, the Rams will not be in the playoffs.

A. Valid B. Invalid

Mathematics

The demand equation for a certain brand of metal alloy audiocassette tape is , where x represents the number (in thousands) of ten-packs demanded each week when the unit price is $p. How fast is the quantity demanded increasing when the unit price/ten-pack is $10 and the selling price is dropping at the rate of $.13/ten-pack/week? Round the answer to the nearest integer.


Hint: To find the value of x when p = 10, solve the equation  for x when p = 10.

Increasing at the rate of __________ ten packs/wk.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use front-end rounding to round each number. Then, add or subtract the rounded numbers to get an estimated answer. Finally, find the exact answer.What is 2.922 less than 5.28?

A. Estimate: 2; exact: 2.368 B. Estimate: 3; exact: 3.368 C. Estimate: 2; exact: 2.358 D. Estimate: 2; exact: 2.362

Mathematics

Solve the problem.George Higgendorf sells used books. He had start-up costs of $2000 and pays $3.00 for each book. He sells each book for $6.25. Express the revenue R as a function of x, where x represents the number of books sold.

A. R(x) = 9.25x B. R(x) = 3.00x C. R(x) = 6.25x D. R(x) = 2000x

Mathematics