Exam 5: Growth and Decay: An Introduction to Exponential Functions

Find the value of this expression to 4 decimal places.

You have $4,000 to invest for 4 years. Two investment options are presented to you: I). 5.5% interest compounded monthly, or II). 6.8% interest compounded annually. A) Which option will give a better return? B) How much more interest will be earned under this option? (Round the answer to the nearest penny.)

Find the equation of the given function. ? Give your answer in or form. Round values to 2 decimal places.

Complete the description for the exponential function, . For every unit increase in the input, the output increases by ______ percent.

Alice invests $8,000 in an account offering 6% interest compounded continuously. How many years until the account value reaches $10,000? Round your answer to the nearest year.

Determine the doubling time for the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

If the half-life of francium is 21 minutes, how long would it take for a 2,000 gram sample to decay to less than 60 grams? (Round the answer to the nearest minute.)

Find the equation of the horizontal asymptote in the graph of

Choose the function that best fits the graph.

Match the function with its graph:

Determine the half-life of the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

Match the function with its graph:

Consider: F(x) = 93.8 - 0.77x G(x) = 93.8 (0.77)^x Compare f(x) to g(x) as .

Below are functions that give the population, P, in year, t, for four towns. Choose the function for the town that has the largest initial population.

An investment is originally worth $17,000 and its worth increases by a factor of 1.006 each month. A) Find a formula that gives the investment's worth , W, as a function of the months, m, since the original investment. B) Use the formula to find the worth of the investment after 16 months.Round your answer to the nearest cent.

Consider: F(x) = 59.4 + 6.2x G(x) = 55.7 (4.5)^x Compare f(x) to g(x) as .

The function represents the growth of the deer population in Wisconsin where T represents 5-year intervals. Create an equivalent function where T represents 1-year intervals. Round the growth factor to 3 decimal places.

If $3,571 is invested at 2.9%, how much more would you have after 14 years if the interest was compounded monthly compared to compounded quarterly?

Given the functions: F(x) = 119 (1.5)^x G(x) = 69 + 0.41x H(x) = 82 (0.89)^x K(x) = 13.7 - 4.5x As , which function(s) approach ? Select all that apply.

Alice invests $5,000 in an account offering 2% interest compounded continuously. Find the value of the account after 6 years. Round your answer to the nearest cent.