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3 years ago

Determine the intercepts of the line. 8x-5y=-11

Mathematics

2 answers:

alexandr402 [8]3 years ago

7 0

Answer:

Intercept on y-axis is

$b=\frac{11}{5}$

Step-by-step explanation:

Equation of line in slope intercept form is given as

$y=mx+b$ ------(1)

where m is slope and b is y-intercept

Re-arranging g 8x-5y=-11 yields

$y=\frac{8}{5} x + \frac{11}{5}$ ----------(2)

Comparing equation (1) and equation (2)

$b=\frac{11}{5}$

vodka [1.7K]3 years ago

3 0

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

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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

Jlenok [28]

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

Loan A: 9.265% nominal rate, compounded weekly

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.

$r(Eweek)=\dfrac{0.09265}{52} =0.00178173$

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

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

$r(e,a)=1+(0.00178173)^{52} -1=0.09699$

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.

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

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e,a)=1+(0.0 242975))^{12} -1=0.010079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

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

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2 years ago

What is the value of y?<br><br> Enter your answer in the box.

lesya [120]

Y would equal 64

79+37=116

180-116=64

7 0

3 years ago

Read 2 more answers

Lynn has a box of crayons.

Scrat [10]

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

$1-\frac{4}{9}=\frac{5}{9}$

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

$\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}$

Thus, the portion of yellow crayons is:

$\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}$

This fraction of x crayons is equal to 14, thus:

$\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}$

x = 72

There are 72 crayons in the box

7 0

3 years ago

Klein stated before 7:10 meg inlinewhich shows this distance written as a decimal

vfiekz [6]

Since decimals have places in 10 100 and 1000 you need a denominator with those number but since you already have a 10 you take the 7 and add a 0. in front so the answer is 0.7

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4 years ago

Order the following numbers from greatest to least. 4.44444444(4.4 repeating),13/3,√20, 19/4

Leya [2.2K]

Answer:

i think its D

Step-by-step explanation:

19/4 = 4.75

√20 = 4.47213595

13/3 = 4.3 ( reapeating )

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3 years ago