SOLUTION: I would be grateful to receive some help on this particular problem, thank you! Suppose that a new employee starts working at ​$7.44 per​ hour, and receives a 5&#820

Algebra ->  Probability-and-statistics -> SOLUTION: I would be grateful to receive some help on this particular problem, thank you! Suppose that a new employee starts working at ​$7.44 per​ hour, and receives a 5&#820      Log On


   



Question 1130477: I would be grateful to receive some help on this particular problem, thank you!
Suppose that a new employee starts working at ​$7.44 per​ hour, and receives a 5​% raise each year. After time​ t, in​ years, his hourly wage is given by the function P(t)=$7.44(1.05)t.
​a) Find the amount of time after which he will be earning​ $10.00 per hour.
​b) Find the doubling time.
A)After what amount of time will the employee be earning​ $10.00 per​ hour?___years
​(Round to the nearest tenth of a​ year
B)Doubling time___

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Hourly rate is given by P%28t%29=7.44%281.05%29%5Et.

----
Find the amount of time after which he will be earning​ $10.00 per hour.
----

P%28t%29=10.
Take logs of both sides of the equation and solve for t.


-----
Find the doubling time.
-----

%282%29%287.44%29=7.44%281.05%29%5Et
2=1.05%5Et
Solve for t.