Suppose that a new employee starts working at $7.17 per hour and receives a 3% raise each year. after time t, in years, his hourly wage is given by the equation y=$7.17(1.03)^to. find the amount of time after which he wi l be earning $10.00 per hour. after what amount of time will the employee be earning $10.00 per hour?

12 years

Step-by-step explanation:

Exponential Growing

Some variables tend to grow in time following an exponential function. The general equation for y as a function of t is

The case given in the question corresponds to the following function

We want to know the amount of time after which the function will be 10, or

Rearranging

Solving for t

When t=11 years, the employee is not paid at $10 per hour yet. We must jump to the next integer value.

7

step-by-step explanation:

the answer would be 7