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babunello [35]
3 years ago
10

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini

tial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
Mathematics
2 answers:
mojhsa [17]3 years ago
6 0

Answer:

b

Step-by-step explanation:

Trava [24]3 years ago
5 0
The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours:       1                 2                  3               
Ieda:      19.50          30.50         41.50
Thanh:   20.50          31.00         41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
            $11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
            $19.50 + $11.00 = $30.50 
Hour 3 (excluding initial price):
            $30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
            $10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
            $20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
            $31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)
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Answer:

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Step-by-step explanation:

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Answer:

(x+4)² + (y-6)² = 81

Step-by-step explanation:

<u>General equation of a circle :</u> (x-h)² + (y-k)² = r²

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Here we are given that the circle has a center at (-4,6) and a radius of 9

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<u>Plugging in values into general equation</u>

Recall that the general equation of a circle is (x-h)² + (y-k)² = r²

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Pls help w 16A and 16B
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Step-by-step explanation:

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Please answer below. THANKS!!!!!
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Answer:

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Step-by-step explanation:

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Find g(x), where g(x) is the translation 2 units left and 12 units down of f(x)=10x–10.
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We have the following transformations:
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