The point-slope form of a line is:
y-y1=m(x-x1), where m is the slope of the line and (x1,y1) is any point on the line.
In this case x1=7 and y1=-2 so the point used to create this equation is:
(7, -2)
Answer:32
Step-by-step explanation:
The pertinent formula is i = p*r*t. Here, i = $6,300, r = 0.07 and t = 5 yrs.
We want to solve this for the principal, p. Since i = p*r*t, p = i / (rt). In this case, the principal was:
p = $6,300 / [0.07*5] = $6,300 / 0.35 = $18,000
Let x = miles traveled by car
Let y = miles traveled by truck.
Because the total distance is 305 miles,
x + y = 305 (1)
Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y
or
t = y/55 (2)
The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x (3)
From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195
From (2),
t = 110/55 = 2 hours
The two vehicles pass each other at 2:00 pm + 2 hours = 4:00 pm
Answer: 4:00 pm
