Using the formula for compound interest:
The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = $95000
P = the principal investment amount = ?
r = the annual interest rate = 0.06
n = the number of times that interest is compounded per year = 2
x = the number of years the money is invested = 0.5
95,000 = P (1 + 0.06/2)¹
95,000 = P (1.06/2)
95,000 = P (0.53)
P = 95,000 ÷ 0.53
P = 95,000 ÷ 0.53
P = 179,245.30
Total compounded interest = 179,245.30 - 95,000
Total compounded interest = 84,245
Answer: C. Decreasing returns to scale
Explanation: Economic of scale refer to a situation where as the level of output increases, the average cost will decrease. In the case of constant return to scale here the average cost will not change as the output increases.
In this question the firm is operating in the negative sloped portion of the long-run average total cost curve, which shows that it has a "Decreasing returns to scale " .
Answer:
see below
Explanation:
Common stock = Assets - Liabilities - Retained earnings
Assets next year = $225,232 + $55,000 = $280,232
Liabilities remain unchanged
Retained earnings = Opening retained earnings + Net income - Dividends
= $36,493 + $44,200 - $12,000
= $68,693
Common stock next year
= $280,232 - $136,748 - $68,693
= $74,791
Answer:
$10
Explanation:
By choosing option B, you have a 0.001 chance of winning $8000, and a 0.999 chance of winning the $2 consolation prize. Therefore, the expected value of option B is given by:
Rounding to the nearest cent, the expectation of option B is also $10.
Answer:
C. $355,000
Explanation:
Cash balance at the end of the year is the total of opening cash and net cash inflow or outflow for the year. Net cash inflow or outflow is the total sum of cash provided or used by operating, investing and financing activities.
Cash balance at the end of the year = Beginning cash balance + Net cash flow for the year
Cash balance at the end of the year = Beginning cash balance + ( Cash flows from operating activities + Cash flows from investing activities + Cash flows from financing activities )
Cash balance at the end of the year = $310,000 + ( $185,000 + (43,000) + (97,000) )
Cash balance at the end of the year = $310,000 + $45,000
Cash balance at the end of the year = $355,000
