Question

Brenda has a job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The company offers a starting salary of $55,000 with a raise of $5,000 each year. I’m how many years would Brenda’s salary be the same with both companies ? What till the salary be ?

Answer 1

137,500 about that much in the start of the year

Answer 2

Brenda’s salary will be the same with both companies in 8 years and the salary will be $95,000.

Explanation:

Suppose, Brenda’s salary will be the same with both companies in
`x` years.

First company offers a starting salary of $75,000 with a raise of $2,500 each year. So, the salary after
`x` years will be:
`(75000+2500x)\ dollars`

Second company offers a starting salary of $55,000 with a raise of $5,000 each year. So, the salary after
`x` years will be:
`(55000+5000x)\ dollars`

When both salary will be same, then......

`75000+2500x=55000+5000x\\ \\ 2500x-5000x=55000-75000\\ \\ -2500x=-20000\\ \\ x=(-20000)/(-2500)=8`

So, Brenda’s salary will be the same with both companies in 8 years.

Then, the salary will be:
`\$75000+(\$2500* 8)=\$95000`