Answer:
$468.09
Step-by-step explanation:
first we must calculate the expected future value of the engine overhaul:
($390 x 10%) + ($570 x 30%) + ($750 x 50%) + ($790 x 10%) = $39 + $171 + $375 + $79 = $664
now we must determine the present value of $664 using a 6% interest rate:
PV = FV / (1 + r)⁶ = $664 / 1.06⁶ = $468.09
1. SAS
2. SSS
3. SAS
4. AAS
5. SAS
6. SAS
7. AAS
8. ASA
9. SSS
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5
