Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 per mile in gas and maintenance fees. 2. They'll buy her a new hybrid car but she'll have to contribute $5,000 to the cost. The new car will then cost her an additional $0.10 per mile in gas and maintenance fees. If she plans to keep the car until she graduates from college in six years and she intends to drive it 10,000 miles each year, which option will cost her less?

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

For the second option we have:

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

The second option will cost her less than the first one.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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multiply each one by 3.14

step-by-step explanation: