Solve the problem.A job pays a salary of 33,000 the first year. During the next 6 years, the salary increases by 5% each year. What is the salary for the 7th year? What is the total salary over the 7-year period? (Round to the nearest cent.)

A. $46,434.31; $224,483.12
B. $44,223.16; $268,686.28
C. $46,434.31; $315,120.59
D. $44,223.16; $224,463.12


Answer: B

Mathematics

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Solve the problem.Imagine a large tank with cross-sectional area A. The bottom of the tank has a circular drain with cross-sectional area a. Assume the tank is initially filled with water to a height h(0) = H. The height of the water as it flows out of the tank is described by the equation  where   and  is the acceleration due to

gravity. Find the water height function for    Then determine the approximate time at which the tank is first empty. If necessary, round to two decimal places.

A. h(t) = (1.4 - 0.2t)2; 2.24
B. h(t) = (1.4 - 0.2t)2; 1.58
C. h(t) = (1.4 - 0.1t)2; 4.47
D. h(t) = (1.4 - 0.1t)2; 3.16

Mathematics

For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (5 tan t)i - (3 sin t)j + (4 cos2 t)k ; t0 = 

A. x = 5 + 10t, y = - + t, z = 2 + 4t
B. x = 5 + 10t, y = - - t, z = 2 - 4t
C. x = 5 + 10t, y = - - t, z = 4 - 4t
D. x = 10 + 5t, y = - - t, z= -4 + 2t

Mathematics

Provide an appropriate response.Subtract: 31,144 - 2,591

A. 28,653 B. 28,553 C. 29,653 D. 29,553

Mathematics

Evaluate the expression without the use of a calculator, and then verify your answer using a calculator.log 10,000

A. -4
B. 4
C. 40
D.

Mathematics