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bekas [8.4K]
3 years ago
14

Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write

an equation and solve it to determine the value of the highest priced CD Connie can purchase with her $15, including the sales tax. Round your answer to the nearest penny. (2 points) x − 0.05x = 15; x = $15.79 5x = 15; x = $3.00 x + 0.05x = 15; x = $14.29 0.5x = 15; x = $30
Mathematics
2 answers:
Brut [27]3 years ago
8 0

Answer:

x + 0.05x = 15; x = $14.29

Step-by-step explanation:

Sholpan [36]3 years ago
3 0

Answer:

x + 0.05x = 15, solution is $14.29

Step-by-step explanation:

We can create an equation for this scenario to try and solve it.

Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)

We can write the equation in two ways:

x + 0.05x = 15 or 1.05x = 15.

Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.

Therefore, the equation is x + 0.05x = 15 and the solution is $14.29.

Hope this helped!

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A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome
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Answer:

a) 658008 samples

b) 274050 samples

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a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

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then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

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c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

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