<span>If I am using the inspection method, the constant term that I would need in the numerator of this rational expression for (x+5) to be a common factor of (x^2+6x+14) / (x+5) is 11/(x+1)</span>
The total cost that a customer should incur in its dealings with company A should be,
c = 50t + 100
For company B
c = 60t + 80
Equating these two charges
c = 50t + 100 = 60t + 80
Thus, the answer is the fourth choice.
Answer:
they both charge the same cost per linear feet
Step-by-step explanation:
It appears that each company has a base charge for installation, which is the dollar value where each line begins at the y-axis. Both lines have the same slope and if you count, the cost is $75 per 5 linear feet.
This is exponential decay which can be expressed as:
y=ab^t, y=final value, a=initial value, b=rate, t=time
In this case a=25000, r=(100-20)/100=0.8 so
y=25000(0.8^t), so in 4.5 years...
y=25000(0.8^4.5)
y≈$9158.93 (to nearest cent)