Through (-1,-5) parallel to x=2

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

Answer:

The answer is x = -1

Step-by-step explanation:

To find a parallel line to x = 2, we first need to note that this is a vertical line. This means the parallel line is also vertical. A vertical line going through the point (-1, -5) is x = -1.

Tamiku [17]3 years ago

5 0

Paralell to x=c1 is x=c2 where c1 and c2 are constants
for x=2, passing through (-1,-5), that is (x,y)
x=-1 is the line

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Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9. 955% annually. Which, if any, of the f

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Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

<h3>What options Melanie should choose for the best deal?</h3>

It is given that

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In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

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Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e,a)=1+(r(e.week))^{52} -1$

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Or 9.669% annual, which is less than 9.955%, so this one is selected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(Emonth)=\dfrac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into an effective annual rate.

$r(e,a)=1+(r(e.month))^{12} -1$

$r(e,a)=1+(0.00786833))^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(Eweek)=\dfrac{0.09719}{4} =0.0242975$