Solve the problem.Suppose that y is directly proportional to x and that y = 30 when x = 5. Find the constant of proportionality k. Then, find y when x = 16.

A. k = 6; y = 96
B. k = - 6; y = - 96
C. k = 150; y = 
D. k = 8; y = 128


Answer: A

Mathematics

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Solve.A painting was sold in 1985 for $ 1 million. The painting was then resold in 1996 for $ 8 million. Assume that the painting's value increases exponentially. Find the exponential growth rate k, and determine the exponential growth function, assuming V0 = 1. (Round decimals to three places.)

A. k = 0.189; V(t) = 1e0.189, where V(t) is in millions and t is the number of years after 1985. B. k = 0.173; V(t) = 1e0.173t, where V(t) is in millions and t is the number of years after 1985. C. k = 0.189; V(t) = 1e0.189t, where V(t) is in millions and t is the number of years after 1997. D. k = 0.189; V(t) = 1e0.189t, where V(t) is in millions and t is the number of years after 1985.

Mathematics

Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.log7 73

A. 21 B. 1 C. 7 D. 3

Mathematics

Determine whether the equation has no solution, one solution, or infinitely many solutions.9(x - 1) + (-11x) = -2(x + 3) + 11

A. One solution B. No solutions C. Infinitely many solutions

Mathematics

A prime number is a natural number that is larger than 1 and can only be divided exactly by itself and 1. ? Which of the following sets of numbers contains only prime numbers? ?

A. { 41, 27, 33 } B. { 24, 11, 41 } C. { 17, 27, 41 } D. { 11, 17, 12 } E. { 17, 21, 27}

Mathematics