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3 years ago

15

Liz works at a movie theater. Her hourly wage increased from $14.50 to $18 and hour. What was the percent of increase in her hou

rly wage? (Round to the nearest percent.)

2 answers:

melomori [17]3 years ago

8 0

I believe it is 124%

worty [1.4K]3 years ago

7 0

I think it’s 125% hope this helps

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Step-by-step explanation:

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Find the general solution, y(t), which solves the problem below, by the method of integrating factors.

Sonbull [250]

The general solution, y(t), which solves the problem by the method of integrating factors is; y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)

<h3>How to solve differential equations?</h3>

We want to find the general solution of;

5t(dy/dt) + y = t⁴

We will divide through by 5t to get;

(dy/dt) + y/5t = t³/6

Using Integration factor, we have;

u(t) = e^∫(¹/₅t) dt = t^(¹/₅)

Thus, we now have;

[t^(¹/₅)](dy/dt) + [t^(¹/₅)]y/5t = [t^(¹/₅)]t³/6

Completing this with a differential calculator gives us the general solution as;

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Read more about differential equations at; brainly.com/question/17201048

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3 years ago

Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i

elixir [45]

<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

$V=\frac{4}{3}\pi r^3$

where r is the radius

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}$

Given that

Radius, r = 24 cm

$\frac{dr}{dt}=0.3cm/s$

Substituting

$\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min$

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

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3 years ago