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3 years ago

10

In 1918, the temperature in Alaska dropped from 52 degrees to -23 degrees in 15 hours. What was the average hourly change in tem

perature?

1 answer:

marissa [1.9K]3 years ago

7 0

To do this we need to see how many degrees it dropped then divide by time (15 hr.).

52 - (-23)
75

75/15
5 deg/hr

Hope this helped!

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m = -2

Step-by-step explanation:

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3 years ago

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Answer:

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

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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

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calculating the total interest:

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

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

calculate the matrix by above-given value:

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

by solving the above matrix we get:

$\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]$

$\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to \$ 7000 \text{ lent at} 16\%\\\\$

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3 years ago