Find an equation of variation for the given situation.y varies directly as x and inversely as z , and y = 5 when x = 10 and 

A. y = 8xz
B. y = 5xz
C. y = 

D. y = 


Answer: D

Mathematics

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Solve the problem.Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.a = 32 cos 5t, v(0) = 9, s(0) = 6

A. s = -  cos 5t + 9t + 6
B. s =  cos 5t - 9t + 6
C. s = -  sin 5t + 9t + 6
D. s =  sin 5t + 9t + 6

Mathematics

Solve the problem.Brad invests $1500 in an account paying 3.5% compounded monthly. How much is in the account after 7 months?

A. $1530.41 B. $1908.42 C. $1502.55 D. $1530.89

Mathematics

Use the information given in the chart or graph to determine the truth values of the simple statements. Then determine the truth value of the compound statement given.If Moon 4 has a diameter of 8-14 km or Planet X has four moons, then Moon 1 may have water ice.

A. True B. False

Mathematics

The Armstrongs wish to establish a custodial account to finance their children's education. If they deposit $100 monthly for 10 years in a savings account paying 6% /year compounded continuously, how much will their savings account be worth at the end of this period? Round your answer to the nearest dollar. ?

A. $12,100 B. $17,654 C. $18,567 D. $16,442

Mathematics