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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 ?

Respuesta :

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

Answer:

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

Step-by-step explanation:

Suppose, Brenda’s salary will be the same with both companies in [tex]x[/tex] years.

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

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

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

[tex]75000+2500x=55000+5000x\\ \\ 2500x-5000x=55000-75000\\ \\ -2500x=-20000\\ \\ x=\frac{-20000}{-2500}=8[/tex]

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

Then, the salary will be:  [tex]\$75000+(\$2500\times 8)=\$95000[/tex]

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