it costs patty $90 to have an alarm system installed in her house. she pays a monthly service fee plus tax of 8% of her monthly
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Answer:
Refer the attached figure.
Step-by-step explanation:
Given : System of equation
To find : Which graph represents the solution to the given system?
Solution :
Equation plotted with a red line passing through (-1,0) and(0,4).
Equation plotted with a blue line passing through (0,-3) and(0.75,0).
As their slopes are equal i.e. m=4.
So, the equation of lines are parallel.
There is no solution of the equations.
Refer the attached figure of the equations.
<u>Answer:</u>
Money earned by selling 175 magazine subscriptions will be 3176.25
<u>Solution: </u>
Given that you are planning to take a summer job selling magazine subscription.
For first subscription, magazine company will help you to pay $0.75
For each additional subscription sold, magazine company will pay you $0.20 more than what was paid for previous subscription.
So for second subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 1
And for third subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 2
Generalizing for nth subscription we get
Payments for nth subscription = 0.75 + 0.20(n-1)
so here we can see that arithmetic sequence is formed, having first term
and common difference = d = 0.20
We need to determine sum of above arithmetic sequence for n = 175
<u><em>Formula for sum of arithmetic sequence is as follows </em></u>
In our case n = 175, a = 0.75, d = 0.20
Hence money earn by selling 175 magazine subscriptions will be 3176.25