Exponential Formulas

What is the name of this formula?

f(x) = ab^x

Which one of these formula is used to show exponential growth?

Choose the correct definitions for each component of the formula

f(x) = ab^x

You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account? ( $$y=Pe^{rt}$$ )

The population of wolves in an area is represented by the function $$y=800\left(0.95\right)^x$$  where x is the number of years since the year 2000. 

In this function, a = ​ (a)   and b = ​ (b)   . This is a ​ (c)   function. The population started at ​ (d)   and decreases ​ (e)   every year.

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account?

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Enter your answer in the space provided.