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Ostrovityanka [42]
3 years ago
7

The original price of a computer was reduced by 225 dollars. The new discounter price is 1274 dollars.

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

1499

Step-by-step explanation:

Given that :

New discounted price = 1274

Let original price = p

Reduction in original price = 225

Original price is the sum of the reduction and the new discounted price

The Original price = Reduction in original price + new discounted price

P = 225 + 1274

P = 1499

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Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4
zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]

• Add row 1 to row 2, and add -1 (row 1) to row 3:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]

• Add -2 (row 2) to row 3:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

• Add -2 (row 3) to row 2:

\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

• Add row 2 and row 3 to row 1:

\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]

So the inverse is

\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}

3 0
3 years ago
ANSWER THREE THROUGH FIVE , ILL GIVE YOU BRAINLIST!!!
Ray Of Light [21]

Answer:

Step-by-step explanation:

3) diameter of penny = 19 mm

                          r = 19/2 = 9.5 mm

Area of penny = πr²

                        = 3.14 * 9.5 * 9.5

                         = 283.385

                         = 283.39 mm²

Diameter of nickel = 21 mm

                          r = 21/2 = 10.5 mm

Area of nickel  = πr²

                         = 3.14 * 10.5 *10.5

                        = 346.185

                        = 346.19 mm²

346.19 - 283.39 = 62.8 mm²

Area of Canadian nickel is greater than Canadian penny by 32.6 mm²

4)  r = 12 mm

Area of circle = πr²

                      = 3.14 * 12 * 12

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5) r  = 20 cm

Area of circle =  πr²

                      = 3.14 * 20 * 20

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6 0
3 years ago
Meg received a 3% increase in pay, She was making $690/week
jekas [21]

Answer:

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multiply 690 * 0.03 (aka 3%) to get 20.7 which equals $20.70

if you want to know how much she made the next week altogether, add 690 + 20.70 to get $710.70!

8 0
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bagirrra123 [75]

Answer:

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Step-by-step explanation:

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so now 15u + 15(9.4) = 420

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3 years ago
Which table represents a linear function?
igomit [66]

Answer:

Table 2

Step-by-step explanation:

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