Answer:
Step-by-step explanation:
To solve, we need to find the y-intercept (b). In order to find the y-intercept, we can plug in the slope and the (x,y) coordinate pair given to us into the equation to solve for the y-intercept:
y=mx+b
4=(-7/-2)*-2+b
4=14/-2+b
4=-7+b
Add 7 to both sides
b=11
Therefore the equation is:
(note that the fraction is positive since the two negatives cancel out)
Answer:
$3,000 invested at 6%
$7,000 invested at 10%
Step-by-step explanation:
Maria had total $10,000 to invest.
Let x be the amount that Maria invested initially at 6% interest rate.
0.06x
Then she invested the remaining amount at 10% interest rate.
0.10(10,000 - x)
She received a total of $880 in interest.
0.06x + 0.10(10,000 - x) = 880
0.06x + 1000 - 0.10x = 880
-0.04x = 880 - 1000
-0.04x = -120
0.04x = 120
x = 120/0.04
x = $3,000
This is the amount that Maria invested initially at 6% interest rate.
The remaining amount is
10,000 - 3,000
$7,000
This is the remaining amount that she invested at 10% interest rate.
Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
We know that William
paid his deductible that amount is the $150.
Then William paid 20 percent of everything else. That's 20 percent of (750
minus 150), it is equal to 150.
Then the insurance company paid 80 percent of (750 minus 250), it is equal to
480.
