Attached below is the problem that I worked out. And I checked my answer simply by plugging it in
Answer: a :)
Explanation:
3.14(radius)squared(height)(3)
3.14(9)(8)(3)
3.14(72)(3)
3.14(216)
678.24
Stationary points occur where the derivative is zero. The denominator is positive for all
, so we only need to worry about the numerator.
for all
, so we can divide through:
But
for all
, so this function has no stationary points...
I suspect there may be a typo in the question.
Answer: Meghan spent $687.5 per year.
Step-by-step explanation:
Let x represent the amount of money that Scott spends per year for auto insurance.
Meghan spends 25% more each year for auto insurance than Scott. The value of 25% of the amount that Scott spends per year is
25/100 × x = 0.25 × x = 0.25x
Therefore, the amount that Meghan spends would be
x + 0.25x = 1.25x
If the amount that they spent together is $1237.50 per year, it means that
x + 1.25x = 1237.5
2.25x = 1237.5
x = 1237.5/2.25
x = 550
The amount that Meghan spent per year would be
1.25 × 550 = 687.5
