Answer: Just apply the formula
Step-by-step explanation:
The equation for volume of a cone is:
The radius is the line that creates a 90 degree angle with the height
The height goes from the base to the tip of the cone.
I recommend leaving Pi as it is and plugging the rest of the numbers first.
Then at the end multiply by 3.14 and round at the end.
This way, it is easier to avoid calculation errors.
Answer:
y = 1/2x - 7
Step-by-step explanation:
slope intercept form:
y = mx + b
y = -5
m(slope) = 1/2
x = 4
y = mx + b
<em>substitute </em>
-5 = 1/2*4 + b
-5 = 2 + b
-5 - 2 = b
-7 = b
y = 1/2x - 7
The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:
![PV=P \left[\frac{1-(1+r)^{-n}}{r} \right]](https://tex.z-dn.net/?f=PV%3DP%20%5Cleft%5B%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%20%5Cright%5D)
Given that <span>Estes
Park Corp. pays a constant dividend of P = $6.95 on its stock. The company
will maintain this dividend for the next n = 12 years and will then cease
paying dividends forever. If the required return on this stock is r = 10 % = 0.1.
Thus, the current share price is given by:
![Current \ share \ price=6.95 \left[\frac{1-(1+0.1)^{-12}}{0.1} \right] \\ \\ =6.95\left[\frac{1-(1.1)^{-12}}{0.1} \right] =6.95\left(\frac{1-0.3186}{0.1} \right)=6.95\left(\frac{0.6814}{0.1} \right) \\ \\ =6.95(6.813)=\bold{\$47.36}](https://tex.z-dn.net/?f=Current%20%5C%20share%20%5C%20price%3D6.95%20%5Cleft%5B%5Cfrac%7B1-%281%2B0.1%29%5E%7B-12%7D%7D%7B0.1%7D%20%5Cright%5D%20%5C%5C%20%20%5C%5C%20%3D6.95%5Cleft%5B%5Cfrac%7B1-%281.1%29%5E%7B-12%7D%7D%7B0.1%7D%20%5Cright%5D%20%3D6.95%5Cleft%28%5Cfrac%7B1-0.3186%7D%7B0.1%7D%20%5Cright%29%3D6.95%5Cleft%28%5Cfrac%7B0.6814%7D%7B0.1%7D%20%5Cright%29%20%5C%5C%20%20%5C%5C%20%3D6.95%286.813%29%3D%5Cbold%7B%5C%2447.36%7D)
Therefore, the current share price is $47.36
</span>
Answer:
y = 3/5 x - 2
Step-by-step explanation:
To find the equation of the line, calculate the slope using two points. With the slope and one point, substitute them into the point slope form and simplify as needed.
Use the points (5,1) and (0, -2) since -2 is the y-intercept.
Slope = 
y - -2 = 3/5 (x - 0)
y + 2 = 3/5(x)
y = 3/5 x - 2
