After how many years are the salaries offered by company a and company b the sameco. a starting salary $24,000 yearly increase of 3000co. b starting salary $30,000 yearly increase of 2400

After 10 years the salaries are the same.

Step-by-step explanation:

In order to solve the problem, we must first use the information given to set up two different equations - one for company a and one for company b.  Company a has a starting salary of $24,000 plus a yearly increase of $3,000 also written as:  $3000x + $24,000.

Company b has a starting salary of $30,000 plus a yearly increase of $2,400 also written as $2400x + $30,000.  

Since we want to find out how long it will be before the salaries are equal, we can set the two equations equal to each other and solve for 'x' = the number of years:

3000x + 24000 = 2400x + 30000

Combine like terms:  600x = 6000

Solve for x: x = 10 years

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