Answer:
Ans. your monthly payment, for 30 years is $9,257.51 if you buy a property worth $1,000,000 and you make a down payment of $100,000
Explanation:
Hi, first we have to change the fixed rate in terms of an effective monthly rate, which is 1% effective monthly (12% nominal interest/12 =1% effective monthly). After that, take into account that the property is going to be paid in 30 years, but since the payments are going to be made in a montlhly basis, we have to turn years into months (30 years * 12 = 360 months).
After all that is done, all we have to do is to solve the following equiation for "A".
![PresentValue=\frac{A((1+r)^{n} -1)}{r(1+r)^{n} }](https://tex.z-dn.net/?f=PresentValue%3D%5Cfrac%7BA%28%281%2Br%29%5E%7Bn%7D%20-1%29%7D%7Br%281%2Br%29%5E%7Bn%7D%20%7D)
Where:
A= Annuity or monthly payment
r= Rate (effective monthly, in our case)
n= Periods to pay (360 months)
Everything should look like this.
![900,000=\frac{A((1+0.01)^{360} -1}{0.01(1+0.0.1)^{360} }](https://tex.z-dn.net/?f=900%2C000%3D%5Cfrac%7BA%28%281%2B0.01%29%5E%7B360%7D%20-1%7D%7B0.01%281%2B0.0.1%29%5E%7B360%7D%20%7D)
![900,000=A(97.2183311)](https://tex.z-dn.net/?f=900%2C000%3DA%2897.2183311%29)
![\frac{900,000}{97.2183311} =A](https://tex.z-dn.net/?f=%5Cfrac%7B900%2C000%7D%7B97.2183311%7D%20%3DA)
![A=9,257.51](https://tex.z-dn.net/?f=A%3D9%2C257.51)
Best of luck.
Answer:
Value of x maximising profit : x = 5
Explanation:
Cost : C(x) = x^3 - 6x^2 + 13x + 15 ; Revenue: R(x) = 28x
Profit : Revenue - Cost = R(x) - C(x)
28x - [x^3 - 6x^2 + 13x + 15] = 28x - x^3 + 6x^2 - 13x - 15
= - x^3 + 6x^2 + 15x - 15
To find value of 'x' that maximises total profit , we differentiate total profit function with respect to x & find that x value.
dTP/dx = - 3x^2 + 12x + 15 = 0 ► 3x^2 - 12x - 15 = 0
3x^2 + 3x - 15x - 15 = 0 ► 3x (x +1) - 15 (x + 1) = 0 ► (x+1) (3x-15) = 0
x + 1 = 0 ∴ x = -1 [Rejected, production quantity cant be negative] ;
3x - 15 = 0 ∴ 3x = 15 ∴ x = 15/3 = 5
Double derivate : d^2TP/dx^2 = - 6x + 12
d^2TP/dx^2 i.e - 6x + 12 at x = 5 is -6(5) + 12 = - 30+ 12 = -8 which is negative. So profit function is maximum at x = 5
Dec 31 Management Services ....................................$1875
To Prepaid Expenses.....................................................$1875
(Being prepaid expenses recognised for the year)
The type of externality where market equilibrium quantity produced will be more than socially optimal quantity in absence of governemtn intervention is Negative externality.
Let understand that whenever a production of good or service negatively affect the unrelated third party who is not directly involved in a market transaction, it is said that negative externality exists in the scenario.
A very good example of commonly cited Negative Externalities are air pollution and noise pollution which was caused during production an affects unrelated third party.
If there is presence of government intervention in the production, then, the production of goods or service will be halted.
Therefore, in conclusion, this type of externality is called the Negative Externality.
Read more about Negative Externality here
<em>brainly.com/question/13901028</em>