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3 years ago

6

Martin finds a shirt on sale for 10% of at a departnment store. The original price was $20. Martin must also pay 8.5% tax. How m

uch is the shirt before taxes are applied

1 answer:

Ivanshal [37]3 years ago

8 0

10% of $20 is 2 so the shirt would be $18 before tax

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I need this for extra credit please!!

noname [10]

Kkkkkkkkkkkkkkkkkkkkk

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3 years ago

1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

or

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

4 years ago

For a singing contest in which 42,000 votes were cast, the winner received 3/5 of the votes. How many votes did the winner not r

zaharov [31]

The winner did not receive 2/5 of the votes, so in numerical values, that would be 16, 800 votes

3 0

3 years ago

Read 2 more answers

A town has two sneaker factories, Sneakerheadz and Nukicks. While Nukicks was closed on Sunday, Sneakerheadz made 900 pairs of s

Scilla [17]

Answer:

Sneakerheadz produced 900 pairs on Sunday. And on Monday, they produced shoes at a rate of 300 per hour.

Then the total number of pairs produced is:

S(t) = 900 + 300*t

where t represents the number of hours worked on Monday.

We know that Nuckicks only worked on Monday, and the same amount of time as Sneakerheadz, but at a rate of 480 sneakers per hour.

We can write the total number of pairs as:

N(t) = 480*t

Now we know that Nukcicks produced in Monday the sane number of pairs than Sneakerheadz produced in the two days, then we have that:

S(t) = N(t)

900 + 300*t = 480*t

900 = 480*t - 300*t = 180*t

900/180 = t

5 = t

So the factories operated 5 hours on Monday.

8 0

3 years ago

Math help plz! Giving brainlist :D

Yuri [45]

-x^2+4x-4

dy/dx=-2x+4, d2y/dx2=-2

Since acceleration is a constant negative, when dy/dx, velocity, equals zero, it is at the absolute maximum value for f(x).

dy/dx=0 when -2x+4=0, 2x=4, x=2

f(2)=-x^2+4x-4=-4+8-4=0

So there is a maximum of zero

...

.5x^2+8x+5

dy/dx=x+8, d2y/dx2=1

Since d2y/dx2, acceleration is a constant positive, when dy/dx=0, it is at the point when f(x) is at an absolute minimum.

dy/dx=0 when x+8=0, x=-8

f(-8)=.5x^2+8x+5=32-64+5=-27

So there is a absolute minimum of -27

...

-2(x+1)^2+5

dy/dx=-4(x+1)=-4x-4, d2y/dx2=-4

dy/dx=9 when -4x-4=0, -4x=4, x=-1

f(-1)=5

So the vertex is (-1, 5) and the axis of symmetry is the vertical line x=-1

6 0

3 years ago