Answer:
8 pounds
Step-by-step explanation:
- Ratio of C:N = 30:1
- C - carbon content, N - nitrogen content
<h3>Given</h3>
- Coffee grounds = 1 pound <u>contains </u>25% C and 1% N
- Rotten vegetables = 6 pounds <u>contains</u> 10% C and 1% N
- Dry leaves = ? pound <u>contains</u> 30% C and 0.5% N
<h3>Solution</h3>
<u>Coffee grounds and Rotten vegetables together give:</u>
- 1 + 6 = 7 pounds
- C = 1*0.25 + 6*0.1 = 0.25 + 0.6 = 0.85
- N = 1*0.01 + 6*0.01 = 0.01 + 0.06 = 0.07
<u>Add dry leaves of x pounds:</u>
- Total = 7 + x
- C = 0.85 + 0.3x
- N = 0.07 + 0.05x
<u>Finding required weight of dry leaves:</u>
- (0.85 + 0.3x)/(0.07+0.005x) = 30/1
- 0.85 + 0.3x = 30(0.07 + 0.005x)
- 0.85 + 0.3x = 2.1 + 0.15x
- 0.3x - 0.15x = 2.1 - 0.85
- 0.15x = 1. 25
- x = 1.25/0.15
- x = 8.33 pounds = 8 pounds rounded to nearest pound
You're going to want to find the area of the whole square, then subtract the area of each triangle from that.
The current yield of the bond is 9.27%.
What is current yield?
Current yield is the bond rate of return computed as the annual coupon divided by the current price of the bond
The annual coupon is the coupon rate of 10% multiplied by the bond's par value of 100
annual coupon=10%*100
annual coupon=10
current bond price=107.87
current yield=annual coupon/current bond price
current yield=10/107.87
current yield=9.27%
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An absolute value inequality that models this situation: 
The required compound inequality representing all possible weights for Mr. Bean.: 
<u>Given:</u> For the last 20 years,
Mr. Bean has weighed 120 pounds, give or take 4 pounds.
<u>To write</u>: a) An absolute value inequality that models this situation.
b) a compound inequality representing all possible weights for Mr. Bean.
<u>Computation:</u>
Let <em>x</em> be the actual weight of Mr. Bean,
then
Required absolute inequality:
It can be written as
Add 120 on all sides , we get
The required compound inequality representing all possible weights for Mr. Bean.:
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This is what the distributive property is all about.
4(6x +x) = 4*6x +4*x = 24x +4x
Of course, this can be simplified further by combining the terms.
24x +4x = (24 +4)x = 28x
Equivalent expressions without parentheses are ...
24x +4x
28x
