Answer:
An equation for each situation, in terms of x
A = 35 + 3x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Step-by-step explanation:
Let A represent the amount Company A would charge if Piper drives x miles
Let B represent the amount Company B would charge if Piper drives x miles.
Company A charges an initial fee of $35 for the rental plus $3 per mile driven.
A= $35 + $3 × x
A = 35 + 3x
Company B charges an initial fee of $80 for the rental plus $2 per mile driven.
B = $80 + $2 × x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B.
= A < B
35 + 3x < 80 + 2x
3x - 2x < 80 - 35
x < 45 miles
That is: any number of miles driven below 45 miles makes Company A cheaper than Company B
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Answer:
The rate of tax is 0.9% of the actual business amount.
Step-by-step explanation:
Given that:
Tax amount = $1035
Business value = $115,000
So, for finding the rate, we will have to divide the tax amount by business value and multiply it by 100 as follows:
Rate = 1035/115,000 * 100
By simplifying we get:
Rate = 0.009 *100
Rate = 0.9 %
This means that the tax rate is 0.9% of the original amount.
i hope it will help you!
Answer:
144 ft^2
Step-by-step explanation:
property of 45-45-90 triangle: side lengths are 12rt2
12rt2*12rt2/2=144
First we write the variables already defined:
m = the number of magazine subscriptions sold
n = the number of newspaper subscriptions sold
We now write the system of inequations based on the following facts:
"he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
23m + 54n> 642
"I have expectations to sell at least 10 subscriptions per week"
m + n> = 10
Answer:
A system of inequalities that models the given situation is:
23m + 54n> 642
m + n> = 10
Answer:
ion know
Step-by-step explanation:
