Step-by-step explanation:
the average rate of change of a function f in an interval [x-low, x-high] is
(f(x-high) - f(x-low)) / (x-high - x-low)
the year 2000 means t = 2000-1980 = 20
the year 2015 means t = 2015-1980 = 35
so, we have
(A(35) - A(20)) / (35 - 20)
((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15
((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15
(810 - 747) / 15 = 63/15 = 4.2
the average change rate between 2000 and 2015 is 4.2.
that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.
Answer:
The area of the base is about 32 square meters
Step-by-step explanation:
V = pi times r^2 times h which is the formula.
Since the volume is 288, and the height is 9 it is,
288 = pi times r^2 times 9,
288/9 = pi times r^2 times 9/9
32/pi = pi/pi times r^2
10.2 = r^2
The square root of 10.2 is about 3.19
Area formula is pi times radius, r^2
3.19 times 3.19 or 3.19^2 = 10.1761
10.1761 times pi is 31.96 which is about 32 square meters.
I hope this helps!
Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have

If we invert the equation we're going to find the the wholesale price as a function of the store price.

Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.

The wholesale price is $1.16.
Find an x value and f(x) is just it's y value. we can start with x=0
when x=0 y= -3
when x= 2 y= -2
and so on, choose easy to read numbers.
you can finish the rest, let me know if you wanna check your answers or if you are stuck.
<span> For this case we can make the following rule of three:
2.99 ----------> 100%
x --------------> 7%
From here, we clear the value of x.
We have then:
</span>

<span> Rewriting the expression we have:
</span>

<span>
Answer: The sales taxes are: x = 0.2093 $</span>