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3 years ago

A girl buys a shirt that was originally $45 but is now $15. What is the rate of change?

1 answer:

4 0

So first we find the change
45 to 15=45-15=30

change is 30
rate of change=(change)/(original)

original=45
change=30
30/45=10/15=2/3=0.66666666=66%
rate of change is 66.66%

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X^2 - 16 = 0 by extracting the square root

scoray [572]

Answer:

{-4, 4}

Step-by-step explanation:

x² - 16 = 0
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3 years ago

Jean works as a secretary for a local business. She is paid $10.50 per hour. She

PIT_PIT [208]

Answer:

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3 years ago

Question

Gnoma [55]

Given parameters:

y varies directly as w;

This interpreted implies that as y increases, we increases by a certain factor or amount;

So, y ∝ w

y = kw

where k is the constant of proportionality

Now, given that y = 8 and w = 2

Input in the equation to solve for k;

8 = k x 2

Solving k gives, k = 4

Now to the second part,

if v is directly proportional to w;

v = k w

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The equation that relates v to w is v = 4w

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3 years ago

In the first week of July, a record people went to the local swimming pool. In the second week, fewer people went to the pool

slamgirl [31]

Answer:

10%

Step-by-step explanation:

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3 years ago

(4) A spherical balloon is being inflated so that its diameter is increasing at a constant rate of 6 cm/min. How quickly is the

fredd [130]

In terms of its radius $r$ , the volume of the balloon is

$V(r)=\dfrac{4\pi}3r^3$

The diameter $d$ is twice the radius, so that in terms of its diameters, the balloon's volume is given by

$V(d)=\dfrac{4\pi}3\left(\dfrac d2\right)^3=\dfrac\pi6d^3$

Differentiate both sides with respect to time $t$ :

$\dfrac{\mathrm dV}{\mathrm dt}=\dfrac\pi2d^2\dfrac{\mathrm dd}{\mathrm dt}$

The diameter increases at a rate of $\frac{\mathrm dd}{\mathrm dt}=6\frac{\rm cm}{\rm min}$ . When the diameter is $d=50\,\mathrm{cm}$ , we have

$\dfrac{\mathrm dV}{\mathrm dt}=\dfrac\pi2(50\,\mathrm{cm})^2\left(6\frac{\rm cm}{\rm min}\right)=7500\pi\dfrac{\mathrm{cm}^3}{\rm min}$

or about 23,562 cc/min (where cc = cubic centimeters)

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3 years ago