Answer:
see explanation
Step-by-step explanation:
To graph the line, we require 2 points
Find the intercepts, that is where the graph crosses the x and y axes
To find the x- intercept let y = 0 in the equation and solve for x
x - 3 = 0 ( add 3 to both sides )
x = 3 ⇒ (3, 0 ) ← x- intercept
To find the y- intercept let x = 0 in the equation and solve for y
- y - 3 = 0 ( add 3 to both sides )
- y = 3 ( multiply both sides by - 1 )
y = - 3 ⇒ (0, - 3 ) ← y- intercept
Plot the points (3, 0) and (0, - 3) and draw a straight line through them
Answer:
Inductive is like using other resources, and deductive is by yourself.
Step-by-step explanation:
Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
![FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)](https://tex.z-dn.net/?f=FV%3DP%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%2A%281%2Br%29)
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually
percent per period(quarter)) - n is the number of periods (here the annuity is for
years, which is 
periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
![FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23](https://tex.z-dn.net/?f=FV%3D400%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B18%7D-1%7D%7B0.0325%7D%5D%2A%281%2B0.0325%29%5C%5C%3D400%5B23.9497%5D%2A%281.0325%29%5C%5C%3D9891.23)
Hence, the future value of the annuity due is $9891.23
Answer:
The answer is 8x³ - 34x + 25x - 3
Step-by-step explanation:
(4x − 3)(2x2 − 7x + 1)
8x³ - 28x² + 4x - 6x² + 21x - 3
Collect like terms
= 8x³ - 28x² - 6x² + 4x + 21x - 3
= 8x³ - 34x + 25x - 3
The answer is 8x³ - 34x + 25x - 3
