?Let x represent the units of labor and y the capital invested in a manufacturing process. When 135,540 units are produced, the relationship between labor and capital can be modeled by . Find the rate of change of y with respect to x when  and 

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?

A. ?-2
B. ?0
C. ?3
D. ?-7
E. ?5

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Answer: A

Mathematics

Calculate the arc length of the indicated portion of the curve r(t).r(t) = (9t sin t + 9 cos t)i  + (9 t cos t - 9 sin t)j ; -2 ? t ? 5

A. 189 B. 130.5 C. 261 D. 94.5

Write the number in decimal notation. ? Gross domestic product of the United States in 2007: 1.3743021 × 1013 dollars ?

A. $13,743,021,000,000 B. $1,374,302,100,000 C. $13,743,021,000 D. $137,430,210,000 E. $137,430,210,000,000

A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 70% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $3,900. How much will Ana's portion of the bill amount to?

A. $980 B. $1120 C. $1240 D. $1680 E. $2010

The following figure has perimeter, circumference, or area as indicated. Find the value of x. Use 3.14 as an approximation for ?.A = 44

A. 4 B. 14 C. 10 D. 8