Solve the problem.A job pays a salary of 33,000 the first year. During the next 8 years, the salary increases by 3% each year. What is the salary for the 9th year? What is the total salary over the 9-year period? Round to the nearest cent.

A. $43,057.52; $293,480.42
B. $43,057.52; $378,308.02
C. $41,803.41; $335,250.5
D. $41,803.41; $293,447.09


Answer: C

Mathematics

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Solve the problem.A model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation  where v(t) is the velocity of the object, for   is the acceleration due to gravity, and  is a constant that involve the mass of the object and the air resistance. Let 

src="https://sciemce.com/media/4/ppg__tttt0613190828__f1q57g5.jpg" alt="" style="vertical-align: -4.0px;" /> For what initial values  are solutions increasing? decreasing? What is the equilibrium solution?

A. increasing for A > 24.5 and decreasing for A < 24.5; v(t) = 24.5
B. increasing for A > 24.5 and decreasing for A < 24.5; v(t) = 0
C. increasing for A < 24.5 and decreasing for A > 24.5; v(t) = 24.5
D. increasing for A < 24.5 and decreasing for A > 24.5; v(t) = 0

Mathematics

Answer the question.Without multiplying by the least common denominator and solving, explain why the rational equation  has no solution. (Hint: Examine both numerators and denominators carefully.)

What will be an ideal response?

Mathematics

Perform the indicated operations. Express the answer as a single polynomial in standard form.-8x7(6x2 - 5)

A. -8x7 B. -48x9 - 5 C. -48x2 + 40 D. -48x9 + 40x7

Mathematics

Provide an appropriate response.For ln(xyz) + e = ey + 1, the partial derivative  evaluated at x = e-2, y = 1, z =  e3

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

Mathematics