Answer:
y = (-3/2)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):
m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2
So, we can update our equation:
y = (-3/2)x + b
The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:
3 = (-3/2) * (-4) + b
3 = 6 + b
b = -3
So, our y-intercept is -3.
Our slope-intercept form is thus:
y = (-3/2)x - 3
<em>~ an aesthetics lover</em>
Answer:
It will depend whether is function time dependent or not.
Step-by-step explanation:
If the function is time dependent, the function with greatest initial values continue to be greatest as time increases.
The sum of a number b and 3 is greater than 8 and less than
12
<span>=> b + 3 < 8
=> b + 3 > 12
</span>
<span>Now,
let’s combine this into an expression:
=> 8 < b+3 < 12
=> (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but
less than 12.
</span>
Answer:
For 30 years at 5% = $354,625.2
For 20 years at 4.5% = $278,618.4
Step-by-step explanation:
The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).
1) For 30 years at 5%
Total number of months in 30 years = 30 x 12 = 360 months
Payback = $985.07 x 360 = $354,625.2
2) For 20 years at 4.5%
Total number of months in 20 years = 20 x 12 = 240 months
Payback = $1160.91 x 240 = $278,618.4