Suppose that a new employee starts working at $7.65 per hour and receives a 5% raise each year. after time t, in years, his hourly wage is given by the equation y=$7.65(1.05)^t. find the amount of time after which he will be earning $10.00 per hour.

5.49 years

Step-by-step explanation:

y = $7.65(1.05)^t

You want to know for which value of t, y equals $10.

$10 = $7.65(1.05)^t

10/7.65 = 1.05^t

log (10/7.65) = log 1.05^t

log (10/7.65) = t(log 1.05)

t = [log(10/7.65)]/(log 1.05)

t = 5.49

step-by-step explanation:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign