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denis-greek [22]
3 years ago
7

Which of the following choices translates the sentence “the difference of three times a number and 20 is 13”?

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

Answer:

3x - 20 = 13

Step-by-step explanation:

1. The word is signals the equal sign.

The difference of three times a number and 20 = 13

2. The word difference signals subtraction.

3. The phrase a number sigals that the number is unknown, so a variable should be used. In this case, I'll use x.

4. Three times that number = 3x.

The difference = subtraction.

3x-20=13

bonufazy [111]3 years ago
7 0

Answer:  the number is 11

3  times a number becomes 3x. is becomes an = sign rhen the given amount, 13

3x - 20 = 13

Step-by-step explanation:

3x - 20 =13

3x = 13 + 20

3x =33

x= 11

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1. You owe $2,348.62 on a credit card with an 8.75% APR. You pay $300.00 toward the card at the beginning of the month and anoth
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Part 1:

After payment of $300, remaining balance = $2,348.62 - $300 = $2,048.62.
Interest accrued is given by:

I=Prt \\  \\ =2,048.62\times0.0875\times \frac{1}{12}  \\  \\ =\$14.94

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I=1,748.62\times0.0875\times \frac{1}{12}  \\  \\ =$12.75

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Part 2:

The present value of an annuity is given by:

PV= \frac{P\left[1-\left(1+ \frac{r}{12} \right)^{-12n}\right]}{ \frac{r}{12} }

Where PV is the amount to be repaid, P is the equal monthly payment, r is the annual interest rate and n is the number of years.

Thus,

2348.62= \frac{600\left[1-\left(1+ \frac{0.0875}{12}\right)^{-12n}\right]}{\frac{0.0875}{12}}  \\  \\ \Rightarrow 1-(1+0.007292)^{-12n}= \frac{2348.62\times0.0875}{12\times600} =0.028542 \\  \\ \Rightarrow(1.007292)^{-12n}=1-0.028542=0.971458 \\  \\ \Rightarrow \log(1.007292)^{-12n}=\log0.971458 \\  \\ \Rightarrow-12n\log1.007292=\log0.971458 \\  \\ \Rightarrow-12n= \frac{\log0.971458}{\log1.007292} =-3.985559 \\  \\ \Rightarrow n= \frac{-3.985559}{-12} =0.332130

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