Answer: $11,200
Explanation:
Using the accounting equation:
(Total Assets) = (Total Liabilities) + (Total Capital)
So,
(Total Liabilities) = (Total Assets) - (Total Capital) (1)
Based on equation (1), in order to compute for the total liability, we need to compute the total assets and total capital.
At the end of the first year, the following are the assets Shapiro's consulting services (together with the amount):
Cash: $16,000
Office Supplies: $3,200
Equipment: $24,000
Accounts Receivable: $8,000
TOTAL ASSETS $51,200
Note that the total assets is obtained by adding the amount (or value) of the all the assets listed above.
Since the net income is an increase (or decrease if it's a net loss) of capital, we classify net income as capital. In particular, the net income of Shairo's at the end of first year adds to the capital at the start of first year.
Moreover, the withdrawal of money by the owner also decreases the capital.
Thus, the total capital at the end of first year is calculated as follows:
Capital (start of the year): $15,000
Net Income (end of year): $27,000
Withdrawal Amount: ($2,000)
TOTAL CAPITAL: $40,000
Note: ($2,000) means -$2,000. This notation is used in accounting.
Hence using equation (1), the total liabilities at the end of first year is given by
(Total Liabilities) = (Total Assets) - (Total Capital)
= $51,200 - $40,000
Total Liabilities = $11,200
Answer: -$45 billion.
Explanation:
Net Exports refers to Exports out of a country less imports into the country and it is a component of GDP using the Expenditure method. The other components include Government Spending, Investment and Consumption all of which are given in the above question.
The Net Exports are therefore;
GDP = Consumption + Investment + Government Spending + Net Exports
3,542 = 2,343 + 865 + 379 + Net Exports
3,542 = 3,587 + Net Exports
Net Exports = 3,542 - 3,587
Net Exports = -$45 billion
The Net Exports are negative which means that more goods were imported than were exported.
Answer:
a. The probability that any one customers service costs will exceed the contract price of $200 is 0.0228
b. Warda expected profit per service contract is $50
Explanation:
a. In order to calculate the probability that any one customers service costs will exceed the contract price of $200 we would have to calculate first the z value as follows:
z=x-μ/σ
z=$200-$150/$25
z=2
Therefore, probability that any one customers service costs will exceed the contract price of $200 is p(x>$200)=p(z>2)
=1-p(z≤2)
=1-0.9772
=0.0228
The probability that any one customers service costs will exceed the contract price of $200 is 0.0228
b. To calculate Warda expected profit per service contract we would have to make the following calculation:
Warda expected profit per service contract=service charge per contract-expected cost
Warda expected profit per service contract=$200-$150
Warda expected profit per service contract=$50
Warda expected profit per service contract is $50
Tomatoes are an input in the production of ketchup, and ketchup and mustard are substitutes. An increase in the price of tomatoes will LOWER the total surplus in the market for mustard
Here is the correct question.
A cylindrical part of diameter d is loaded by an axial force p. this causes a stress of P/A, where A= πd²/4. if the load is known with an uncertainty of ±10 percent, the diameter is known within ±5 percent (tolerances), and the stress that causes failure (strength) is known within ±15 percent, determine the minimum design factor that will guarantee that the part will not fail.
Answer:
the minimum design factor that will guarantee that the part will not fail. = 1.434
Explanation:
Looking at the uncertainty; loss of strength must be raised to 
due to the stress that causes the failure (strength) is known within ±15% uncertainty.
Looking at the uncertainty; the maximum allowable load must be reduced to 
because the load is known with an uncertainty of ±10.
Looking at the uncertainty; the diameter must be raised to 
because the diameter is known within an uncertainty of ±5.
The decrease in the maximum allowable stress can be estimated as:
where,
stress
P = load
A = cross-sectional area of the cylinder
∴
replacing P' with 
and d' with 
, we have:
Thus, the uncertainty in diameter and the load of the allowable stress needs to decrease to 0.82045
Now, the minimum design factor that will ascertain that the part will not fail can be computed as:
where;
the design factor = 
the design factor = 1.434.
Thus, the minimum design factor that will guarantee that the part will not fail. = 1.434
