Find a formula for the tripling time T3 of an exponential growth model. Write the relative growth rate as k. T3 =

Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?

Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.

Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

Find an exponential equation that passes throughthe points (0,4) and (2,9).

What is the difference between the equation for exponential growth versus the equation for exponential decay?