Answer:
The dimension that will minimize the cost is 55 and 110(55 × 110)
Explanation:
The garden area is 6050 ft². Along the driveway the costs is $6 per foot while the other 3 area sides cost only $2 per foot.
The garden has four sides so it a rectangle .
a = length along the driveway
b = length perpendicular to the driveway
The area = a × b
ab = 6050
b = 6050/a
minimize cost = 6a + 2a + 2b + 2b
minimize cost = 8a + 4b
cost = 8a + 4b
y = 8a + 4(6050/a)
y = 8a + 24200/a
y = 8a + 24200/a
differentiate the rate of change of the cost with respect to length.
y'(a) = 8 - 24200/a²
(8a² - 24200)/a² = 0
cross multiply
8a² = 24200
a² = 24200/8
a² = 3025
a = √3025
a = 55
inserting the value of a in the area formula
ab = 6050
b = 6050/55
b = 110
Answer:
deduction = 0 in 2015
Deduction = $ 15000 in 2016
balance = $20000
it is carried forward to the year 2017
Explanation:
given data
partnership interest = $40,000
partnership loss = $35,000
partnership income = $15,000
to find out
How much may Kay deduct in 2015 and 2016
solution
we can say that Loss is adjust or deduct against Profit of Kay when it makes profit during a year
so as that Kay make loss in 2015 and no profits during that year to adjust those loses against
so deduction = 0 in 2015
but
in 2016
Kay income = $ 15000
Kay adjust loss of previous year against this income to extent of income available
so Deduction = $ 15000 in 2016
and after that
here balance after deducting the passive loss is
balance = $35000 - $15000
balance = $20000
it is carried forward to the year 2017
Answer:
Explanation:
The discount rate is the interest rate on loans that the Federal Reserve makes to banks. Banks occasionally borrow from the Federal Reserve when they find themselves short on reserves. A lower discount rate increases banks' incentives to borrow reserves from the Federal Reserve, thereby increasing the quantity of reserves in the banking system and causing the money supply to rise.The federal funds rate is the interest rate that banks charge one another for short-term (typically overnight) loans. When the Federal Reserve uses open-market operations to sell government bonds, the quantity of reserves in the banking system increases banks' demand for borrowed reserves declines, and the federal funds rate decreases
Answer:
the cost of internal equity is 16.17%
Explanation:
The computation of the cost of internal equity is shown below:
= Yield of the bond + risk premium of the firm
= 10.28% + 4.95%
= 16.17%
Hence, the cost of internal equity is 16.17%
Basically we add the two things so that the cost of internal equity could be determined
<span>Answer: Matched pairs design
Explanation: Matched pairs design is a special case of a randomized block design. It can be used when the experiment has only two treatment conditions; and subjects can be grouped into pairs, based on some blocking variable. Then, within each pair, subjects are randomly assigned to different treatments.</span>