Answer:
A. -4-3x>7
Step-by-step explanation:
-4-3(-5)>7
-4-(-15)>7
11>7
Scarf area is 8 small fabric area
8 x 0.25 x 0.25 =0.5.
7 scarf area would be
7 x 0.5 = 3.5
new fabric (large ) area is
2 x 0.25 = 0.5
7 scarf area divide by new fabric area
3.5 divide by 0.5 = 7 large pieces
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Perimeter of a Rectangle: P = 2w + 2l
Step-by-step explanation:
<u>Step 1: Define</u>
P = 163 yards
w = 2l + 8
l = l
<u>Step 2: Set up equation</u>
P = 2w + 2l
163 = 2(2l + 8) + l
<u>Step 3: Solve for </u><em><u>l</u></em>
- Distribute 2: 163 = 4l + 16 + l
- Combine like terms: 163 = 5l + 16
- Subtract 16 on both sides: 147 = 5l
- Divide both sides by 5: 147/5 = l
- Rewrite: l = 147/5
- Evaluate: l = 29.4 yards
<u>Step 4: Find </u><em><u>w</u></em>
- Define: w = 2l + 8
- Substitute: w = 2(29.4) + 8
- Multiply: w = 58.8 + 8
- Add: w = 66.8 yards
Answer:
0.02 or 2% = Beta
Step-by-step explanation:
Given that,
Risk-free rate = 7 percent
Expected return on the market = 10 percent
Expected return on Security J = 13 percent
Therefore, the beta of Security J is calculated as follows;
Expected return on Security J = Risk-free rate + Beta (Expected return on the market - Risk-free rate)
13 percent = 7 percent + Beta (10 percent - 7 percent)
0.13 - 0.07 = 0.03 Beta
0.06 = 0.03 Beta
0.06 ÷ 0.03 = Beta
0.02 or 2% = Beta
