we conclude that for 500 miles, both plans will have the same cost.
<h3>
For how many miles both plans have the same cost?</h3>
Plan A charges a fixed amount of $75, plus $0.10 per mile, so if you drive x miles, the cost equation is:
A(x) = $75 + $0.10*x
For plan B we will have the similar equation:
B(x) = $100 + $0.05*x
The cost is the same in both plans when:
A(x) = B(x)
So we need to solve the linear equation:
$75 + $0.10*x = $100 + $0.05*x
$0.10*x - $0.05*x = $100 - $75
$0.05*x = $25
x = $25/$0.05 = 500
So we conclude that for 500 miles, both plans will have the same cost.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:-25
Step-by-step explanation:
simplify
Answer:
The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
In millions of dollars,
Determine the sales level that has only a 3% chance of being exceeded next year.
This is the 100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So X when Z = 1.88.
The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
