Exam 4: Exponential and Logarithmic Functions

An investment is expected to pay 11% per year compounded continuously.If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.

Find the inverse function of the function f given by the set of ordered pairs.

Sketch the graph of the function

Use the graph of to determine whether the function has an inverse function.

The present value of money is the principal you need to invest today so that it will grow to an amount at the end of specified time.The present value formula is obtained by solving the compound interest formula for Recall that is the number of years, is the interest rate per year, and is the number of compoundings per year.find the present value of amount invested at rate for years, compounded times per year.

Solve for x: Round to 3 decimal places.

Solve the exponential equation algebraically.Approximate the result to three decimal places.

Determine which of the following functions is graphed below.

Sketch the graph of the function

Match the function with its graph.

Use a graphing utility to approximate the solution to Round to 3 decimal places.

A company's profit for producing units is given by Find the inverse function and explain what it represents.Describe the domains of and

Use a calculator to evaluate Round your result to three decimal places.

Use the graph of to determine whether the function has an inverse function.

The decibel (dB) is defined as , where P₂ is the power of a particular signal and P₁ is the power of some reference signal.In the case of sounds, the reference signal is a sound level that is just barely audible.How many dBs does a sound have if its power is 5500 times that of the reference sound? Round to the nearest tenth.

Sketch the graph of the function

An industrial psychologist has determined that the average percent score for an employee on a test of the employee's knowledge of the company's product is given by where t is the number of weeks on the job and P is the percent score.Estimate (to the nearest week) the expected number of weeks of employment that are necessary for an employee to earn a 90% score on the test.

The demand function for a limited edition comic book is given by Find the price for a demand of units.

Determine whether the function has an inverse function, If it does, find its inverse function.

Expand the logarithmic expression Assume all variable expressions represent positive real numbers.