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:
The answer is B. share value
Answer:
Balance of Suppliers Account is $2200 debit
Explanation:
It is important to know that the Supplies Account increases on the debit side and decreases on the credit side.
On 1 February the account was $ 3080 and this was a debit since it was an existing balance.
Purchase during the year by Bonita Industries increased the Supplies Account. A debit entry of $2640 must be recorded.
Used supplies during the year decrease the Supplies Account. A credit entry of $3520 must be made
There for the balance left $2200(3080+2640-3520) is still on the increase side (debit).Hence the answer $2200 debit is correct.
Answer:
$700
Explanation:
to calculate the amount of state income tax refund that must be included in the 2019 tax return we can use the following equation:
state income tax refund included in gross income = itemized deduction - standard deduction = $24,700 - $24,000 = $700
the rest of the refund = $1,800 - $700 = $1,100, should not be included in the 2019 gross income
<span>What businesses must do in order to fulfill their legal and financial regulations is report information about the assets they sell. Whatever happens to their assets, if they acquire new ones or sell old ones, these business have to report about their activities to the higher authorities. So, for example, if they buy or sell a piece of land, this has to be reported immediately.</span>
