Y+4x =7
Or y = -4x + 7
On comparing with point slope form
y = mx+c
We get m = -4 = slope of given line
As the required line is parallel to given line its slope is equal to -4
I am sorry I am not in that level yet
Answer:
Present Value = ![X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ]](https://tex.z-dn.net/?f=X%20%5B%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B1%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B2%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B3%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B4%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B5%7D%20%7D%20%5D)
Step-by-step explanation:
To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?
Solution -
We know that, formula for finding the Present vale is given by
Present value = Future value / (1 + r)ⁿ
where r is the rate of interest
and n is Number of periods
Now,
Here in the question, we have
r = 12% = 12/100 = 0.12
n = 5
Also, Given that, we have received Rs X at the end of each year
So,
Present Value = 
= ![X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ]](https://tex.z-dn.net/?f=X%20%5B%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B1%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B2%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B3%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B4%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B5%7D%20%7D%20%5D)
⇒Present Value = ![X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ]](https://tex.z-dn.net/?f=X%20%5B%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B1%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B2%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B3%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B4%7D%20%7D%20%20%2B%20%5Cfrac%7B1%7D%7B%281%20%2B%200.12%29%5E%7B5%7D%20%7D%20%5D)
Binomial theory : ( a - b ) ^3 = a^3 - 3a^2b + 3ab^2 - b^3 ;
Then, ( 2y - 3x ) ^3 = 8y^3 - 36y^2x + 54yx^2 - 27x^3
Answer:
x² + 5x + 6
Step-by-step explanation:
Foil means first, outside, inside, last
First: (x+2)(x+3)
x × x = x²
Inside: (x+2)(x+3)
x × 3 = 3x
Ouside: (x+2)(x+3)
2 × x = 2x
Last: (x+2)(x+3)
2 × 3 = 6
adding them together:
x² + 3x + 2x + 6 = x² + 5x + 6