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3 years ago

I was doing my khan and i got stuck 6=2(y+2)

Mathematics

1 answer:

Anna [14]3 years ago

3 0

Answer:

$y=1$

Step-by-step explanation:

Given:

$6=2(y+2)$

Distribute the parenthesis

$6=2y+4$

Subtract both sides by 4

$2=2y$

Divide both sides by 2 to get $y$ alone

$1=y$

Hope this is helpful

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Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$