Answer:the selling price if payment is made in cash is $395
Step-by-step explanation:
The list price of the computer software program is $500
A dealer offers the computer software program at a 19% discount.
She will give an extra 3% discount if paid in cash. This means that the total discount in percentage if a customer paid in cash would be
19 + 3 = 21%
The value of the discount would be
21/100 × 500 = 0.21 × 500 = $105
Therefore, the selling price if payment is made in cash would be
500 - 105 = $395
Answer:
AC = 5
Step-by-step explanation:
AC is the diagonal of the rectangle ABCD and splits the rectangle into 2 right triangles.
Using right triangle ABC with hypotenuse AC
Applying Pythagoras' theorem gives
AC² = AB² + BC² ← substitute given values
AC² = 4² + 3² = 16 + 9 = 25
Take the square root of both sides
AC =
= 5
Answer:
The value of the expression is 1.
Step-by-step explanation:
The expression is:
![[(\frac{2}{3})^{0}]^{-3}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B0%7D%5D%5E%7B-3%7D)
Exponent rules:

Simplify the expressions as follows:
![[(\frac{2}{3})^{0}]^{-3}=[1]^{-3}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B0%7D%5D%5E%7B-3%7D%3D%5B1%5D%5E%7B-3%7D)

Thus, the value of the expression is 1.
The answer of the matrix equation will be ![\left[\begin{array}{ccc}-2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
<h3>What is Matrix ?</h3>
Matrices are known as the tables of numbers. The numbers are usually put into the big brackets. Matrices are given the 'orders', which describes the size of the matrices. The order is the number of rows 'by' the number of columns. For example: a 2 by 3 matrix has 2 rows and 3 columns.
Step-by-step explanation:
1.Find the inverse matrix of the equation
![\left[\begin{array}{ccc}2&1\\1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C1%262%5Cend%7Barray%7D%5Cright%5D)
The inverse of this equation will be :
![\left[\begin{array}{ccc}2&-3\\-1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C-1%262%5Cend%7Barray%7D%5Cright%5D)
2.Multiply it with ![\left[\begin{array}{ccc}5\\4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C4%5Cend%7Barray%7D%5Cright%5D)
3.Multiply the rows of the first matrix with the columns of another
2×5+(-3)×4
(-1)×5+2×4
4.Simply each element
The answer will be ![\left[\begin{array}{ccc}-2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
To know more about Matrix, visit:
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Answer:
1
Step-by-step explanation:




