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Black_prince [1.1K]
3 years ago
15

Which matrix represents the system of equations shown?

Mathematics
1 answer:
kicyunya [14]3 years ago
3 0

Answer:

b.

by relation

\binom{3x \:  \:  - 2y \:  \: 12}{4x \:  \: \:  \:   - y \:  \:  \:  \:  \: 9}  \\  eliminate \: the \: unknowns \: (x \: and \: y) \\  \binom{3 \:  \:  - 2 \:  \:   12}{4 \:  \: \:  \:   - 1 \:  \:  \:  \:  \: 9}

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What is the equation of a line that is perpendicular to y=4x-5 and passes through (-4,6)
lozanna [386]

Answer:

y=-1/4x+5

Step-by-step explanation:

perpendicular lines have slopes that multiply to -1.

Our given line:

y=4x-5

the slope (m) in it is 4. To find the slope of the perpendicular line:

4m=-1

divide by 4

m=-1/4

the slope of the new line is -1/4

here's our equation so far:

y=-1/4x+b

Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)

so substitute (-4,6) into the equation

6=-1/4(-4)+b

6=1+b

5=b

the y intercept is 5

so our equation is:

y=-1/4x+5

hope this helps! :D

4 0
3 years ago
Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p
vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

                      Beginning     Interest   Payment   Ending Balance

1st month    sh. 100,000    sh. 1,000    sh. 10,000    sh. 91,000

2nd month    sh. 91,000       sh. 910    sh. 10,000     sh. 81,910

3rd month      sh. 81,910        sh.819    sh. 10,000    sh. 72,729

4th month    sh. 72,729       sh. 727    sh. 10,000    sh. 63,456

5th month   sh. 63,456       sh. 636    sh. 10,000    sh. 54,092

6th month   sh. 54,092       sh. 541     sh. 10,000    sh. 44,633

7th month   sh. 44,633       sh. 446    sh. 10,000    sh. 35,079

8th month  sh. 35,079        sh. 351     sh. 10,000    sh. 25,430

9th month  sh. 25,430       sh. 254     sh. 10,000    sh. 15,684

10th month sh. 15,684        sh. 157     sh. 10,000      sh. 5,841

11th month    sh. 5,841         sh. 58      sh. 5,899       sh. 0

Total interest paid =       sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

#SPJ1

8 0
2 years ago
The length of a rectangle is 5959 inches greatergreater than twice the width. if the diagonal is 2 inches more than the​ length,
lorasvet [3.4K]

Length: 2w + 59

width: w

diagonal: (2w + 59) + 2  = 2w + 61

Length² + width² = diagonal²

(2w + 59)² + (w)² = (2w + 61)²

(4w² + 118w + 3481) + w²  = 4w² + 122w + 3721

5w² + 118w + 3481 = 4w² + 122w + 3721

w² + 118w + 3481 = 122w + 3721

w² - 4w + 3481 = 3721

w² - 4w - 240 = 0

a = 1, b = -4, c = -240

w = [-(b) +/- \sqrt{(b)^{2}  - 4(a)(c) }]/2(a)

 = [-(-4) +/- \sqrt{(-4)^{2}  - 4(1)(-240) }]/2(1)

   =  [4 +/- \sqrt{(16  + 960) }]/2        

  = [4 +/- \sqrt{(976) }]/2  

  = [2 +/- 4\sqrt{(61) }]/2  

  = 1 +/- 2\sqrt{(61) }

since width cannot be negative, disregard  1 - 2√61

w = 1 + 2√61  ≈ 16.62

Length: 2w + 59  =  2(1 + 2√61) + 59  = 2 + 4√61 + 59  =  61 + 4√61  ≈ 92.24

Answer: width = 16.62 in, length = 92.24 in

7 0
3 years ago
How much would the account earn in 1 year of simple interest at a yearly rate of 2.33%? Round to the nearest cent.
serg [7]

Answer:

who knows what is the whole question

Step-by-step explanation:

3 0
3 years ago
Find the selling price. Where necessary, round to the nearest cent. Regular price:$14.99. Percent of discount:15%
RSB [31]

Answer:

the price is approximately $12.75

Step-by-step explanation:

4 0
3 years ago
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