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Sliva [168]
3 years ago
12

Please help with this! Jen is deciding to get a new phone. One deal is a free phone with a two year contract, but she will have

to pay the sales tax of 8% on the original price of $399 and the monthly charge is $10 more than she currently pays. The other is on sale for $199, plus 8% sales tax. The monthly charge is the same as what she currently pays. Over the two year contract period, which phone will be the lower cost and by how much?
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0
All you have to do is add 399 to 10 and then multiply by ten. Then you get 199 and multiply by .08 and multiply that by ten. Then you subtract.
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Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de
Nimfa-mama [501]
Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b(       )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses. 

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This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
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32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
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