Question

The value of Jennifer’s stock portfolio (in dollars) is given by the function f(t)=−3t ^2+72t+5000, where t is the time in months since she opened the account. What is her portfolio worth after 6 months?

a) $5,388
b) $7,688
c) $9,188
d) $10,000

Answer 1

Jennifer's portfolio is worth $5,324 after 6 months.

Step-by-step explanation:

To find Jennifer's portfolio worth after 6 months, we need to substitute t = 6 into the function f(t) = -3t^2 + 72t + 5000.

So, f(6) = -3(6)^2 + 72(6) + 5000 = -3(36) + 432 + 5000 = -108 + 432 + 5000 = 5324.

Therefore, Jennifer's portfolio is worth $5,324 after 6 months.