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Anna11 [10]
2 years ago
15

What method of matrixes would be used for this question? ( Inverse Matrices, Cramer's Rule, Gaussian Elimination, and Gauss-Jord

an Elimination)
John had $24,500 to invest. He divided the money into three different accounts. At the end of the first year he had made a total of $1,300 in interest between the three accounts. If the first account earned 4% interest on its original amount for the year, the second account earned 5.5% interest on its original amount for the year, and the third account earned 6% interest on its original amount for the year. Also, the amount of money in the first account was 4 times the amount in the second account. How much had he originally placed in each account?
Mathematics
1 answer:
aalyn [17]2 years ago
5 0

Answer:

The method of matrixes that would be used for this question is Gaussian Elimination.

Step-by-step explanation:

Gaussian Elimination is a method of solving linear equations by transforming them into upper triangular form. In this case, we want to solve for the original amount of money placed in each account, which can be represented by variables x, y, and z. We can set up the equations as follows:

4x + 5.5y + 6z = 1,300

x + y + z = 24,500

4x = y

We can then use Gaussian Elimination to solve for x, y, and z.

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3x + 6y = 4y - 4
gulaghasi [49]

Answer: y = 2/3x + 41/3

Step-by-step explanation:

First convert the equation into slope-intercept  

3x + 6y = 4y  - 4

      -4y    -4y

3x + 2y = -4

-3x            -3x

  2y = -3x - 4

  y = -3/2x - 2  

Perpendicular lines have a negative reciprocal for their slopes.

The negative reciprocal of -3/2  is   2/3

Now using the slope 2/3 you will use the formula  y =mx +b  and input the  slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.

  7 = 2/3(-10) + b

 7 = -20/ 3 + b  

+ 20/3   + 20/3

  b =  20/3 + 21/3 = 41/3  

Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3

   

4 0
3 years ago
The graph of the equation y = x2 + 1 is shown. Which equation will shift the graph up 7 units?
AysviL [449]
I think it’s b ............
7 0
3 years ago
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Find X please I really need help. Explain the best you can! Thanks!
ludmilkaskok [199]
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3 years ago
There are 12 students in a social studies class. three students will be selected to present their term projects today. in how ma
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<em />As, If the order is important then we use permutation;

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6 0
3 years ago
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First, it have to change them so that they have common denominators. You would change the denominators to 6.
Your new fractions are:
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Therefore, his average distance was 15 5/6 ( I think? ).
5 0
3 years ago
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