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3 years ago

6

Jack Purchased a new iPhone for $300. It is expected to lose 25% of its value each

1 answer:

asambeis [7]3 years ago

8 0

Answer:

94.92

Step-by-step explanation:

300*(75/100)^4=94.92

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Work about the mid-points of these line segments. GH: G(-3,-4) and H (0,2)

Svet_ta [14]

The x-coordinate of the midpoint is the average of the x-coordinates
of the ends.
The average of the ends is 1/2(-3+0) = -1.5 .

The y-coordinate of the midpoint is the average of the y-coordinates
of the ends.
The average of the ends is 1/2(-4+2) = -1

The midpoint of the segment is <em>(-1.5, -1)</em>.

3 0

3 years ago

A right triangle has a lleg of length 16 and a hypotenuse of length 25. The length of the other leg is (Rounded to the nearest t

Wittaler [7]

Answer:

19

Step-by-step explanation:

1st you will use a^2+b^2=c^2

next you plug them in so it would be a^2+16^2=25^2

next you would solve it to a^2+256=625

then you would get 369 and square root it

and your answer will be 19.2.

3 0

2 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago

HELP what is the coefficient of 14x?<br><br> multiplication<br> 14<br> 14x<br> x

cluponka [151]

Coefficient of 14x is 14

Coefficientis the number in front of the letter. For example, coeffient of 2b is 2. When there is no number in front of the letter the coefficient is 1.

3 0

3 years ago

Ivan and Tanya share £150 in the ration of 4:1

Zarrin [17]

Answer:

Money Ivan gets extra = 120 - 30 (or 3x) = 90

Step-by-step explanation:

Ivan = 4x

Tanya = 1x

Total = 150

4x + x = 150

5x = 150 ; x = 150 / 5 = 30

Ivan = 4x = 120

Tanya = 1x = 30

Money Ivan gets extra = 120 - 30 (or 3x) = 90

8 0

2 years ago