Let us go to the basic accounting equation: Assets = Liabilities + Shareholder's Equity. The equity multiplier is computed by dividing the total assets with the total shareholders' equity. We know the total assets as $85,3000. Using the formula for the equity multiplier, we can calculate the amount of the shareholders' equity. The given equity multiplier is 1.53. To calculate the shareholders' equity, we just have to divide the $85,300 (total assets) with 1.53 (equity multiplier). We can get the amount of $55,752. Using the accounting equation, we can compute <span>the amount of liabilities as $29,548. The formula to get the debt-equity ratio is dividing the total shareholder's equity by the liabilities. $55,752 divided by $29,548, we can get 1.89 as the debt-equity ratio.</span>
<span>100 observations needed for desired accuracy and confidence.
The formula for the confidence of a sampling is:
ME = z*d/sqrt(n)
where
ME = Margin of error
z = z score for desired level of confidence
d = standard deviation
n = number of samples
The z score desired is calculated as follows. If you want a 95% confidence, you calculate 1 - 0.95 = 0.05, then you divide the result by 2, getting 0.025, and finally you use a standard normal table to get the z score for the desired probability. So for this problem of 95.44% we get
(1 - 0.9544)/2 = 0.0456/2 = 0.0228
Looking up a standard normal table, the value of 0.0228 is found to have a z-score of 2.0, a.k.a. 2 standard deviations from the normal.
So let's substitute the known values into the formula and solve for n.
ME = z*d/sqrt(n)
1 = 2*5/sqrt(n)
sqrt(n) = 2*5
sqrt(n) = 10
n = 100
So the owner needs at least 100 samples to be 95.44% certain that his measurement error is within 1 second of the correct time.</span>
<u>The activity rate for the Order Processing activity cost pool is closest to </u>
<u>542</u>
Explanation:
Given that ,
Wages and salaries $540,000
Depreciation $220,000
Rent $240,000
Cost pool for order processing activity
Activity Cost Pools= 30% 25% 45%
= (540,000*30%) +(220,000*25%)+(240,000*45%)
= (162000)+(55000)+(108000)
=325000
Hence ,the Cost pool for order processing activity =325000
We know that the formula for
Activity rate = Cost pool/Total activity
<u></u>
<u>Activity Cost Pool Total Activity Assembly 40,000 labor-hours Order processing 600 orders </u>
<u>
</u>
= 325,000/600
= 542
<u>The activity rate for the Order Processing activity cost pool is closest to </u>
<u>542</u>
Answer:
$34.12
Explanation:
Fixed Overhead Rate = Estimated total fixed manufacturing overhead ÷ estimated the labor-hours for the upcoming year
= $1,760,220 ÷ 66,000
= $26.67 per labor-hour
Predetermined Overhead Rate:
= Variable Overhead Rate + Fixed Overhead Rate
= $7.45 per labor-hour + $26.67 per labor-hour
= $34.12
Answer:
7.1%
Explanation:
Purple martin has an annual sales of $687,400
The total debt is $210,000
Total equity is $365,000
Profit margin is 5.9%
= 5.9/100
= 0.059
The first step is to calculate the net income
Net income= sales×profit margin
= $687,400×0.059
= $40,556.6
The next step is to calculate the total assets
Total assets= Total debt+Total equity
= $210,000+$365,000
= $575,000
Therefore, the return on assets can be calculated as follows
ROA= Net income/Total assets
= 40,556.6/575,000
= 0.0705×100
= 7.1%
Hence the return on assets is 7.1%