Answer:
![y = -2x + 10](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%2010)
Step-by-step explanation:
Slope: ![m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
Slope-Intercept Form: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![m=\frac{8-0}{1-5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B8-0%7D%7B1-5%7D)
![m = -2](https://tex.z-dn.net/?f=m%20%3D%20-2)
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
![0 = -2 (5)+b](https://tex.z-dn.net/?f=0%20%3D%20-2%20%285%29%2Bb)
![0=(-10)+b](https://tex.z-dn.net/?f=0%3D%28-10%29%2Bb)
![b = 10](https://tex.z-dn.net/?f=b%20%3D%2010)
![y = -2x + 10](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%2010)
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
Answer: the fixed cost to rent the limousine is $200
Step-by-step explanation:
Let x represent the fixed cost rent the limousine.
Let y represent the cost of of hiring the driver of the limousine per hour.
It cost $500 to rent a limousine for 5 hours. This means that
x + 5y = 500 - - - - - - - - - - -1
It costs 800 to rent a limousine for 10 hours. This means that
x + 10y = 800 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 5y = - 300
y = - 300 /- 5
y = 60
Substituting y = 60 into equation 1, it becomes
x + 5 × 60 = 500
x + 300 = 500
x = 500 - 300
x = 200