When you are asked o find the
unit rate, you have to take note of the ratio the problem is given to you. In here,
you have 294 miles every 14 gallons. All you need to do is to divide it. 294/14
= 21 miles per gallon.
Fraction -4/15 decimal -.26
<span>Simplifying
1.06g + -3 = 0.71
Reorder the terms:
-3 + 1.06g = 0.71
Solving
-3 + 1.06g = 0.71
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 1.06g = 0.71 + 3
Combine like terms: -3 + 3 = 0
0 + 1.06g = 0.71 + 3
1.06g = 0.71 + 3
Combine like terms: 0.71 + 3 = 3.71
1.06g = 3.71
Divide each side by '1.06'.
g = 3.5
Simplifying
g = 3.5</span>
Answer:
40% or 0.4
Step-by-step explanation:
The optimal capital structure (OCS) of a firm is defined as "the proportion of debt and equity that results in the lowest weighted average cost of capital (WACC) for the firm"
The brief explanation of this is that OCS is the factor used by a company in maximising their stock price, and this generally calls for a Debt-to-capital or "Debit-to-equity" ratio.
From the table above, the company's stock ratio is highest or maximised at 37.75 (under Projected Stock Price Column)
This can be traced to 40% under Debt/Capital ratio column
Hence, the Debt/Capital Ratio of 40%,
Because it must equate to 100%, we say that the firm's optimal capital structure is 40% debt and 60% equity.
This is also the debt to capital ratio, where the firms WACC is minimized.
The values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
<h3>What is Trigonometry?</h3>
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
Here, cos x = -15/17 (given)
we know, cos x = 2cos²x/2 - 1
cos²(x/2) = (cos x + 1)/2
cos²(x/2) = (-15/17 + 1)/2
cos²(x/2) = 1/17
cos (x/2) = 1/√17
then, sin (x/2) = √(1- cos²(x/2))
sin (x/2) = √(1 - 1/17)
sin (x/2) = √16/17
sin (x/2) = 4/√17
and tan (x/2) = sin (x/2) / cos (x/2)
tan (x/2) = 
tan (x/2) = 4
Thus, the values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
Learn more about Trigonometry from:
brainly.com/question/22698523
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