67.50 + 12.50 = 80
80/100 = 0,8 x 3 = 2.4
so, the total bill was 80 + 2.4 = 82.4
<em>hope it helps :)</em>
Answer:
B
Step-by-step explanation:
r^2 is 0.9997, and after 10 years it'll be 95660
Well, since the graph starts at (0,50), making our y-intercept 50, we can knock off D as an option.
The next step is to find the slope. To do this, find two points and subtract the y values over the x values. (Just make sure that whichever y value you start with - start with the same x value).
So we have >>> (50, 200) and (0,50) from earlier.
200 - 50 / 50 - 0 = 150/50 or 3/1, or 3.
This makes the correct answer A since the equation is represented as y = mx + b, where m is the slope and m has a value of 3.
Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.