Question

Jared’s stock portfolio grows according to the formula a=2x^2-31x+25, where a is the amount in the portfolio, in thousands, and x is the amount of time the money has been in the portfolio, in months. When will Jared’s portfolio be at a value of $10,000?

Answer 1

To find when Jared's portfolio will be at a value of $10,000, solve the quadratic equation 2x^2-31x+25 = 10. Determine the values of x and then find the corresponding amount of time in months.

Step-by-step explanation:

In order to find when Jared's portfolio will be at a value of $10,000, we need to solve the equation 2x^2-31x+25 = 10. To do this, we set the equation equal to 0 by subtracting 10 from both sides: 2x^2-31x+15 = 0. Next, we can solve this quadratic equation by factoring or by using the quadratic formula. After finding the values of x, we can determine the corresponding amount of time in months.