Lenny makes $55,000 and is getting annual raises of $2,500. karl makes $62,000 with annual raises of $2,000. how many years, y, will it take for lenny and karl to make the same salary?

14 years

Step-by-step explanation:

represents number of years it will take for Lenny and Karl to earn same salary.

Lenny make $55,000 and annual raise is $2,500 per year.

So, in years Lenny would make in dollars =

Karl makes $62,000 with annual raises of $2,000 per year.

So, in years Karl would make in dollars =

We know that their salaries would be equal.

So, we have

subtracting both sides by

Subtracting both sides by 55000

Dividing both sides by 500.

∴ In 14 years Lenny and Karl would make same salary.

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1