Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: 
Step-by-step explanation:
Given two points are:

Slope intercept form of line is given as:

Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:

Putting the values

Putting the value of slope in slope-intercept form we get

To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation

Putting the value of b

Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: 
Answer:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.
We can consider 8 am = 0, and 8:30 am = 30, so 
Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Between 15 and 25, so:

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
1/5+ (-4) is the same as 1/5 - 4
1/5-20/5
-19/5
Given:
<span>F= $335,000
n = 30 years at a fixed rate of i = 7.5%
Required:
the total cost of the principal
Solution:
F = P(1+i)^n
P = F/(1+i)^n
P = 335,000 / (1.0.075)^30
P = 38,264.05</span>