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KengaRu [80]
3 years ago
9

the point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the stand

ard form of the equation for this line?
Mathematics
1 answer:
LiRa [457]3 years ago
7 0
<span>The Standard Form equation of a line has the following formula is Ax + By = C ; where A</span>≠0 and B≠0;
We have y - 1 = x - 12 / -x;
y - x - 1 = -12 / + 1;
-x + y = -11 is the standard form equation for this line.
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The Order of operations is PEMDAS: Parentheces, Exponents, Multiplcation, Division, Addition, Subtraction

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9+3*2-(6+3^2) \\(6+3^2= 12\\3*2= 6\\9+6=15\\\\15-12= 3

Option A is not correct because it equals 9.

Option B is not correct because it equals -66

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Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and
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The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348

For the four years, the monthly payment is,

m=\dfrac{11422.6348}{12\times4}\\m=237.97

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

d=237.97-202.80\\d=35.17\\d\approx 35.05

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

brainly.com/question/24274034

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