Answer:
In the given year, American population grew by 4% while China's population grew by 1.2%.
Explanation:
The present problem establishes that in one year the populations of China and the United States both increased by 12 million people. But both countries have different populations: China has a population of 1 billion inhabitants, while the United States has 300 million.
To determine the percentage of population increase in each country, we must perform cross multiplications:
-U.S:
300 = 100
12 = X
(12 x 100) / 300 = X
1,200 / 300 = X
4 = X
The United States grew by population 4% in the year.
-China:
1,000 = 100
12 = X
(12 x 100) / 1,000 = X
1,200 / 1,000 = X
1.2 = X
China grew by population 1.2% in the same period of time.
Answer:
c. update the static planning budget to reflect the actual level of activity for the period
Explanation:
A flexible budget is a financial plan of expenses and revenues based on the actual level of output. A flexible budget adapts to changes in prices and company needs. Because the budget varies with the market condition, it is called a variable cost.
Due to their variable nature, flexible budgets are used to update the static estimates at the end of a period. The company compares the actual result in the flexible budget with that of a static budget. The management uses a flexible budget to evaluate the business performance for the period. Specific areas of success and failures are highlighted. Decisions on areas that need improvement can then be made.
Answer:
The volume of water needed=0.86 liters
Explanation:
Step 1: Form an equation
The equation can be expressed as follows;
(Ac×Va)+(Wc+Vw)=Fc(Va+Vw)
where;
Ac=initial concentration of antifreeze
Va=volume of antifreeze in liters
Wc=concentration of water
Vw=volume of the water in liters
Fc=final concentration of the antifreeze
This expression can be written as;
(concentration of antifreeze×volume of antifreeze in liters)+(concentration of water×volume of the water)=final concentration of the antifreeze(volume of antifreeze in liters+volume of the water in liters)
In our case;
Ac=45%=45/100=0.45
Va=3 liters
Wc=0
Vw=unknown
Fc=35%=35/100=0.35
Replacing;
(0.45×3)+(0×Vw)=0.35(3+Vw)
1.35=1.05+0.35 Vw
0.35 Vw=1.35-1.05
0.35 Vw=0.30
Vw=0.3/0.35=0.86
Vw=0.86 liters
The volume of water needed=0.86 liters
Answer: This is a violation of position limits
Explanation:
When checking to see if there has been a violation of control limits, all the accounts managed by a single entity or all accounts under <em>common control</em> will be added up instead of being evaluated on an individual basis.
John manages 25 accounts out of which he bought calls for 10. He bought 30,000 for each of the 10 which would mean that he bought 300,000 call contracts.
This exceeds the 250,000 contract limit so is a violation of position limits.
It will be worth $105468.75.
If it depreciates 25% each year, that means 75% of the value remains.
The value of the third year is $140,625.
$140,625(.75) = $105,468.75.
You could also find 25% of $140,625 and subtract it.
$140,624(.25) = $35,156.25
$140625 - $35,156.25 = $105,468.75.
Either way the car would be worth $105,468.75 in year four!
