Answer:
2408.55 cubic yards
Step-by-step explanation:
use pi times radius squared times height, then divide by 3
2(x-5)=20
Divide both sides by 2 (division of property equality)
x - 5 = 10
Add 5 to both sides (addition of property equality)
x = 15
Answer
x = 15 is the solution
Expanded form:
1 × 100,000,000
+ 5 × 10,000,000
+ 4 × 1,000,000
+ 7 × 100,000
+ 9 × 10,000
+ 8 × 1,000
+ 1 × 100
+ 0 × 10
+ 5 × 1
I hope it helps :)
Answer:
y = 0.80
Step-by-step explanation:
Given:
- The expected rate of return for risky portfolio E(r_p) = 0.18
- The T-bill rate is r_f = 0.08
Find:
Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.
What is the proportion y?
Solution:
- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:
E(r_c) = y*E(r_p) + (1 - y)*r_f
y*E(r_p) + (1 - y)*r_f = 0.16
- Re-arrange for proportion y:
y = ( 0.16 - r_f ) / (E(r_p) - r_f)
- Plug in values:
y = ( 0.16 - 0.08 ) / (0.18 - 0.08)
y = 0.80
- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.
Answer:
y = 2
Step-by-step explanation:
6y - 2(y + 1) = 3(y - 2) + 6
6y - 2y - 2 = 3y - 6 + 6
6y - 2y - 2 = 3y
4y - 2 = 3y
4y - 2 + 2 = 3y + 2
4y = 3y + 2
4y - 3y = 3y - 3y + 2
y = 2
