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3 years ago

15

HELP ME PLEASE WRITEEEEE

1 answer:

shusha [124]3 years ago

6 0

Answer:

Initial value is the y- intercept and the change per month is the slope.

The slope is $25, which is an increase rate per month.
The y- intercept is $525, which is the investment amount.

<u>The model function is:</u>

f(x) = 25x + 525

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 59.

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4 years ago

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3 years ago

One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde

Cerrena [4.2K]

Answer:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

$0.25 X + 0.05 Y = 20*0.08$ (1)

And for the water we have:

$0.75 X + 0.95Y = 20*0.92$ (2)

If we solve for X from equation (1) we got:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0

3 years ago