Answer:
There must be 96 milk chocolates.
Step-by-step explanation:
If you take the original ratio, 5:12, and replace the 5 with 40, you'd discover that 40 divided by 5 is 8. So what do you do? You multiply the 12 by 8 to get 96 so now the ratio is 40:96.
Answer:
D = 32
Step-by-step explanation:
A+ B + E = 180 since they form a triangle
14+ 45 + E = 180
E = 180 -14-45
E =121
E on either triangle is the same since they are vertical angles
C+D+E = 180 since they form a triangle
27+ D + 121 = 180
D = 180-121-27
D =32
Answer:
I want to say the answer is b
Step-by-step explanation:
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:
They are parallel and congruent
Step-by-step explanation: