<span>Given:
Net profit before tax = $208,000
Total equity = $500,000
Total assets = $330,000
Total liabilities = $150,000
Current assets = $64,000
Current liabilities= $45,000
Return on Equity = Net Income / Shareholder's equity = 208,000 / 500,000 = 0.416 or 41.6%.
Return on Assets = Net Income / Total Assets = 208,000 / 330,000 = 0.63 or 63%
Debt ratio = Total Liabilities / Total Assets = 150,000 / 330,000 = 0.4545 or 45.45%
Debt to equity ratio = Total liabilities / Total Equity = 150,000 / 500,000 = 0.30 or 30%
Current ratio = Current Assets / Current Liabilities = 64,000 / 45,000 = 1.42</span>
Answer:
both are equal
Step-by-step explanation:
there are two side tails and heads so there a 1/2 chance it will land on heads
. Multiplying the denominator by
gives

Subtracting this from the numerator gives a remainder of

. Multiplying the denominator by
gives

and subtracting this from the previous remainder gives a new remainder of

This last remainder is exactly the same as the denominator, so
divides through it exactly and leaves us with 1.
What we showed here is that



and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:



which matches the original numerator.
Given:
Compound shape
To find:
The area of the compound shape.
Solution:
The compound shape is splitted into two parallelograms.
<u>Bottom parallelogram:</u>
Base = 7.5 cm
Height = 5 cm
Area of the parallelogram = base × height
= 7.5 × 5
= 37.5 cm²
The area of the Bottom parallelogram 37.5 cm².
<u>Top parallelogram:</u>
Base = 7.5 cm
Height = 4.5 cm
Area of the parallelogram = base × height
= 7.5 × 4.5
= 33.75 cm²
The area of the top parallelogram 33.75 cm².
Compound shape = 37.5 + 33.75
= 71.25 cm²
The area of the compound shape is 71.25 cm².
70% is the same as 70/100 then we simplify by taking off one zero of each number 7/10 and we can't divide it any more so the answer is 7/10