Write an exponential function that passes through the points. 0 ,   2 5             4 ,   4000

Solve the following radical equation. 5 x – 4 = 16

Given the function, determine the difference quotient, f ( x + h ) – f ( x ) h . f ( x ) = x 2 + 3 x – 5

The population of a certain inner-city area is estimated to be increasing according to the model P ( t ) = 23 , 000 e 0 . 025 t , where t is the number of years from the present. What does this model predict the population will be in 5 years?  Round to the nearest person.

Solve the following linear equation. 4 3 ( x + 2 ) + 3 5 = – 11 15

A doctor prescribes 300 mg of a therapeutic drug that decays according to the model A ( t ) = A 0 e – 0 . 325 t , where A 0 is the initial dose of the drug, t is the time in hours and  A ( t )  is the amount of the drug remaining in the patient’s system after t  hours.  How  long would it take for there to be 60 mg of the drug remaining in the patient’s system?  Round your answer to 4 decimal places, if needed. 

Simplify the expression. 40 x 7 y 4

Solve for x.  Express your answer in exact form. – 4 e 6 x + 3 – 5 = – 13

Find the equation of the line in slope-intercept form that passes through the point ( – 4 ,   5 ) with a slope of – 6 .  Simplify your answer.

Solve the following exponential equation.  Round your answer to 4 decimal places, if needed.   7 3 x + 8 = 19