Answer:
The only common term is 33.
Step-by-step explanation:
We are given the following in the question:
Sequence 1:
Sequence 2:
Equating the two terms, we get,
Since, n cannot take a negative value, we get n = 4.
Thus, there is only 1 common term both the series have for n = 4.
Common term:
Thus, the only common term is 33.
Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
<h3>How to graph the inequality?</h3>Let x represents hours babysitting and y represents hours tutoring
So, we have:
Earnings = Rate of babysitting * x + Rate of tutoring* y
This gives
Earnings = 5x + 10y
He wants to earn at least $95.
This means that:
5x + 10y ≥ 95
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)
This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
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