<span>being able to read and write, they would ask blacks a really hard question on theology or something about the constitution and then ask the next guy in line to write the letter</span>
CALCULATOR PART
1. The area of R + S is unsigned, meaning you want to find

where
is the interval between the leftmost and rightmost intersections of
and
.
First use your calculator to find these intersections:

so that
and
. Now compute the integral using your calculator:

2. The volume, using the washer method, is given by the integral

3. A circle of radius
has area
; a semicircle with the same radius thus has area
. Each cross section of this solid is a semicircle whose diameter is the vertical distance between
and
, or
. In terms of the diameter
, the area of each semicircle would be
. Then the volume of the solid is

NON-CALCULATOR PART
4. The mean value theorem says that for a function
continuous on an interval
and differentiable on
, there is some
such that

If this
happens to be an antiderivative of
, then we end up with

is continuous and differentiable everywhere, so the MVT applies. We have
, so the MVT tells us there is some
such that

That is, the average value of
on
is 0. The MVT says there is some
in the interval such that the function takes on the average value itself; this happens for
.
5. This question seems to be incomplete...
To cut costs and minimize losses, Abby can do following things:
- Turn of lights when people are not in the restaurant. This will reduce the electricity cost.
- Abby can conserve water and dishwasher use. It cuts down on water usage, soap, and energy costs.
- Publicize your restaurants in social media with add-ons and offers to attract people. More the people are aware about the restaurant, greater will be the number of people dining in.
- Trim down some of the expensive items from the menu.
Answer:
1.6% growth rate
43.75 years = doubling time.
Explanation:
40-24 = 1616/1000 = 0.016 x 100 = 1.6% growth rate
70/1.6 = 43.75 years = doubling time.