Divide and, if possible, simplify. Assume all variables represent positive real numbers.

A. 2mn
B.
C. 4
D. 2


Answer: D

Mathematics

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If P(y) is a polynomial in y, then P(r) = 0 if and only if __________ is a factor of P(y). 

A. -r - y B. y + r C. y - r D. r - y

Mathematics

Find the acceleration vector in terms of ur and u?.r = a(9 - cos ?) and  = 4

A. a = (16a( cos ? - a + a cos ?)ur + (32a sin ?)u? B. a = (16a( cos ? + 9a - a cos ?)ur - (32a sin ?)u? C. a = (81a( cos ? - 4a + a cos ?)ur + (162a sin ?)u? D. a = (16a( cos ? - 9 + cos ?)ur + (32a sin ?)u?

Mathematics

Eleni, who is now 55 years old, is employed by a firm that guarantees her a pension of $90,000/year at age 70. What is the present value of her first year's pension if inflation over the next 15 year(s) is at the given rate. Assume that inflation is continuously compounded. Round your answer to the nearest cent. ? 6%      _________ ? 9%     _________ ? 18%     _________ ?

A. $64,219.68,   $71,866.46,   $6,048.50 B. $36,591.27,   $23,331.62,   $6,048.50 C. $57,386.53,   $64,219.68,   $6,048.50 D. $57,386.53,   $64,219.68,   $71,866.46

Mathematics

Add or subtract as indicated.8 + 5

A. 3
B. 13
C. -2
D. -14

Mathematics