Hi there!
Solve for the vertex by completing the square:
y = -0.25x² - 1.5x + 6
Factor out a negative:
y = -(0.25x² + 1.5x) + 6
Remember that a square binomial is:
a² + 2ab + b²
We know that:
a² = 0.25, so a = 0.5
1.5 = 2ab, so:
1.5 = 2(0.5)b
b = 1.5
b² = 2.25
Thus:
y = -(0.25x² + 1.5x + 2.25) + 6 - (-2.25)
Simplify:
y = -(0.5x + 1.5)² + 8.25
Find the vertex by factoring out 0.5:
y = -0.5(x + 3)² + 8.25
Thus, the vertex is:
(-3, 8.25)
The annual percentage rate on the loan is 321%
<h3>Calculations and Parameters:</h3>
Using this formula
Annual percentage rate=(Fees/Refund)×(Numbers of days in a year/ Term of loan)
Annual percentage rate=(130/985)×(365 days/15 days)
Annual percentage rate=0.1319797×24.333×100
Annual percentage rate=321%
Therefore, the correct answer is option D.
Read more about APR here:
brainly.com/question/13906507
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Divide 42 by 30 and that should be your correct answer.
hope this helps.