Jamal is offered two jobs. The first job offers a starting salary of $25,000 that increases by $800 each year he is with the company. The second job offers a starting salary of $23,000 that increases by 3.2% each year he is with the company. After how many years will the salary of the second job surpass the salary of the first?

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Ответ:

kamiyaharris1

25.09.2020

Mathematics

"x = 4.38, −0.38"

Step-by-step explanation:

The equation to solve is a quadratic:

$-3(x-2)^{2}+17=0$

We take -17 to the other side and divide by -3 and solve by taking square root and be sure to take + and - solutions:

$-3(x-2)^{2}+17=0\\-3(x-2)^{2}=-17\\(x-2)^{2}=5.67\\x-2=+-\sqrt{5.67} \\x-2=+-2.38\\x=2.38+2=4.38\\x=-2.38+2=-0.38$

Hence, the solutions are x = 4.38 and -0.38

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