Final answer:
To solve for *, the inequality 2,900(0.88)* < 2,000 can be rearranged into a quadratic equation. We can then use the quadratic formula to find the two possible values for *. The correct answer is D) * = 1.7241.
Step-by-step explanation:
To solve for *, we can start by rearranging the inequality into a quadratic equation:
0.000484 - 0.00088x - x² = 0
Next, we can use the quadratic formula to find the two possible values for x:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the values for a, b, and c from the quadratic equation, we get:
x = (-(-0.00088) ± √((-0.00088)² - 4(1)(-0.000484))) / (2(1))
x = (0.00088 ± √(0.0007744 + 0.001936)) / 0.002
x = (0.00088 ± √0.0027104) / 0.002
x = (0.00088 ± 0.052085) / 0.002
So, the two possible values for * are approximately 0.6897 and 1.7241. Therefore the correct answer is D) * = 1.7241.