Answer:
$14038
Explanation:
The company has marginal revenue R'(t) = 
. Therefore its revenue R(t) is given as;
R(t) = ∫R'(t)
R(t)= ∫ dt = + c
R(t) = + c
But R(0) = 0, therefore:
R(0) = 
+ c = 0
+ c = 0
100 + c =0
c = -100
Also the marginal cost per day is given by C'(t) = 140 - 0.3t
C'(t) = 140 - 0.3t
C(t) = ∫C(t) = ∫ (140 - 0.3t) dt = 140t - (0.3/2) t² + C
But C(0) = 0
C(0) = 140 (0) - (0.3/2)(0)² + c = 0
c = 0
C(0) = 140t - (0.3/2) t²
Profit P(t) = R(T) - C(T) , hence the total profit from t = 0 to t = 5 is given as:
P(t) = ![\int\limits^0_5 {[R'(t)-C'(t)]} \, dt =\int\limits^0_5 {([100e^t-(140-0.3t)]} \, dt=\int\limits^0_5 {100e^t} \, dt +\int\limits^0_5 {-0.3t} \, dt +\int\limits^0_5 {-140} \, dt \\\\=[100e^t]_0^5+[ -140t]_0^5+[-0.3t^2/2]_0^5=[14841.316-100]+[-700]+[-3.75]=14038](https://tex.z-dn.net/?f=%5Cint%5Climits%5E0_5%20%7B%5BR%27%28t%29-C%27%28t%29%5D%7D%20%5C%2C%20dt%20%3D%5Cint%5Climits%5E0_5%20%7B%28%5B100e%5Et-%28140-0.3t%29%5D%7D%20%5C%2C%20dt%3D%5Cint%5Climits%5E0_5%20%7B100e%5Et%7D%20%5C%2C%20dt%20%20%2B%5Cint%5Climits%5E0_5%20%7B-0.3t%7D%20%5C%2C%20dt%20%20%2B%5Cint%5Climits%5E0_5%20%7B-140%7D%20%5C%2C%20dt%20%20%5C%5C%5C%5C%3D%5B100e%5Et%5D_0%5E5%2B%5B%20-140t%5D_0%5E5%2B%5B-0.3t%5E2%2F2%5D_0%5E5%3D%5B14841.316-100%5D%2B%5B-700%5D%2B%5B-3.75%5D%3D14038)
The profit is $14038
Answer:
a. $750
b. $750
Explanation:
The first thing to do is calculate the monthly interest as follows:
Monthly interest = Total interest ÷ 12 = $4,500 ÷ 12 = $375
The rent for two months in year 0 (November and December) = $375 × 2 = $750.
Prepaid expenses (January to October of year 1) = $4,500 - $750 = $3,750.
Decision:
Prepaid expenses is not deductible under either cash accounting method or accrual accounting method for tax purposes.
Therefore, Jaxon can deduct only $750 two months (November and December) relevant for year 0 under both cash accounting method and accrual accounting method.
The prepaid expenses of $3,750 is not deductible in year 0 but can only be deducted in year 1.
Answer:
d. Assets - Liabilities = Stockholders' Equity.
Explanation:
The principle of double entry booking rests upon the accounting equation. the accounting equation states that (where correct and accurate accounting books are kept), the total asset of a corporation must equal the addition of the corporation's total liabilities and Stockholders' equity.
The following is the basic formula for accounting equation
Assets = Liabilities + Stockholders' equity
Rearranging the above basic equation, we have the alternative form of the accounting equation.
Assets = Liabilities + Stockholders' equity
Subtract Stockholders' equity from both sides of the equation
Assets - Stockholders' equity = Liabilities + Stockholders' equity -
Stockholders' equity
Assets - Liabilities = Stockholders' equity
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Answer:
the meaning of assessment is the evaluation or estimation of the nature, quality, or ability of someone or something. like your being tested on you knowledge of something, so you have a test.
Explanation:
