Given:
Area of a rectangle is 
.
Breadth is two-third of its length.
To find:
The length and breadth of the rectangle
.
Solution:
Let x cm be the length of the rectangle.
Then, Breadth or width of the rectangle = 
cm
Area of a rectangle is
Multiply both sides by 3.
Divide both sides by 2.
Taking square root on both sides.
Length cannot be negative. So, x=30.
Now,
Length = 
Breadth = 
= 
= 
Therefore, the length of the rectangle is 30 cm and the breadth is 20 cm.
Answer:
The correct answer is option D.
Explanation:
Money can be defined as any asset that is generally accepted by people in exchange for goods and services. The basic function of money is to act as a medium of exchange.
It reduces the transaction cost in exchange for goods and services by eliminating the double coincidence of wants.
Money can be of different types such as commodity money, fiat money, etc.
Other functions of money are to act as a store of value and unit of account.
Answer:
C. $5
Explanation:
Marginal utility is the benefit gained from consuming an additional unit of a product or service.
According to the question, Michael is maximizing utility when Marginal Utility / Price of colas is equal to Marginal Utility / Price of hotdogs. Marginal utility can thus be found by solving the following equation for X (the price of hot dog)
MU/P of Colas = MU/P of hot dogs
300/3 = 500/X
3/300 = X/500
X = (3/300) x 500
X = 0.01 x 500
X = 5
Hence, the price of each hot dog is $5.
Answer:
a. Ratio of fixed assets to long-term liabilities
= <u>Fixed assets </u> x 100
Long-term liabilities
= <u>$3,200,000</u> x 100
$2,000,000
= 160%
b. Ratio of liabilities to shareholders' equity
= <u>Total liabilities</u> x 100
Shareholders' equity
= <u>$3,000,000</u> x 100
$5,000,000
= 60%
c. Asset turnover
= <u>Sales</u>
Total assets
= <u>$18,750,000</u>
$7,000,000
= 3 times
d. Return on total assets
= <u>Net income</u> x 100
Total assets
= $930,000 x 100
$7,000,000
= 13.29%
Explanation:
The ratio of fixed assets to long term liabilities equals fixed assets divided by long-term liabilities multiplied by 100.
Ratio of liabilities to stockholders' equity equals total liabilities divided by total stockholders' equity multiplied by 100. The total liability is equal to current liabilities plus long-term liabilities.
Asset turnover equals sales divided by total assets.
Return on total assets equals net income divided by total assets multiplied by 100.
