SOLUTION: Please help me! I really need to get this! Thanks SOOO much! Here it is: A clerk starts working at a beginning salary of $10,400 with an annual increase of $400. An assist

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Question 142055This question is from textbook Prentice Hall Mathmatics Pre-Algrebra
: Please help me! I really need to get this! Thanks SOOO much! Here it is:

A clerk starts working at a beginning salary of $10,400 with an annual increase of $400. An assistnat clerk who starts at the same time has a starting slary of $9,600 per year with an annual increase of $600. Who earns more after three years and after how many years will the assistant be earning more money than the clerk?
Thank you so very much in advance THANKS
This question is from textbook Prentice Hall Mathmatics Pre-Algrebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A clerk starts working at a beginning salary of $10,400 with an annual increase of $400. An assistant clerk who starts at the same time has a starting salary of $9,600 per year with an annual increase of $600. Who earns more after three years
:
After 3 yrs:
Clerk: 10400 + 3(400) = 11,600
Asst: 9600 + 3(600) = 11,400
:
and after how many years will the assistant be earning more money than the clerk?
:
Let t = time in yrs:
:
Asst amt greater than Clerk amt
9600 + 600t > 10400 + 400t
:
600t - 400t > 10400 - 9600
:
200t > 800
t > 800%2F200
t > 4 yrs, after 4 yrs the asst will be earning more