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Vlada [557]
3 years ago
12

Megan owes $2900. The first week she will pay back $30. The second week she will pay back $35. The third week she will pay back

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer:

It's D.

Step-by-step explanation:

You add.

<em>That's it.</em>

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Step-by-step explanation:

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Step-by-step explanation:

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If A=[xy5−8] determine the values of x and y for which A2=A.
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Answer:

<h2>x = 9, y = -72/5</h2>

Step-by-step explanation:

Given the 2 by 2 matrix A = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right] , we are to find the value of x and y for the expression A² = A to be true.

First we need to find A² by multiplying the same matrix together

A^2 = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right] \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right]\\\\ \ we \ normally \ multiply \ the \ rows \ of \ the \ first \ matrix \ with \ the \ column \ of \ the \ second \\\\A^2 = \left[\begin{array}{-cc}x^2+5y&5x-40\\xy-8y&5y+64\\\end{array}\right]\\\\Since \ A^2 = A,\ hence;\\\\\left[\begin{array}{-cc}x^2+5y&5x-40\\xy-8y&5y+64\\\end{array}\right] =  \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right]\\

Equating the first row and second column of both matrices together, we will have;

5x-40 = 5

add 40 to both sides of the equation

5x-40+40 = 5+40

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x = 45/5

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5y+64 = -8

Subtract 64 from both sdies

5y+64-64 = -8-64

5y = -72

y = -72/5

<em>Hence the value of x is 9 and y is -72/5</em>

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