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Nimfa-mama [501]
3 years ago
5

A salesperson had 50 shirts to sell and must sell a minimum of 20 shirts. The salesperson sells the shirts for $35 each. The amo

unt of money the salesperson makes for selling x shirts is represented by a function.
f(x)=35x

What is the practical range of the function?


All real numbers

all multiple of 35 between 700 and 1750, inclusive

all integers from 20 to 50, inclusive

all multiple of 35 between 0 and 1750, inclusive
Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

3x-100

Step-by-step explanation:

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DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

b/c. The line integral of \vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath over C is

\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt

=\displaystyle10\int_0^1\mathrm dt=\boxed{10}

d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

where D is the triangle bounded by C, and this integral is simply twice the area of D. D is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0
3 years ago
Use the following information to answer problems 14-16: Suppose that in a large metropolitan area, 82% of all households have ca
Helen [10]

Answer:

66.6% or 0.66

Step-by-step explanation:

82% or 0.82 of All households have cable TV.

X = The number of households in a group of 6, that have cable TV.

You wish to find the proportion or percentage of groups for which EXACTLY 4 of 6 households will have cable TV.

82% of 6 is = 4.92

Approximately 4.92 out of 6 households, have cable TV.

Using this figure, you can now find out what % of 6 will give you 4.

Cross multiply:

0.82 - 4.92

M - 4

M = (4×0.82) ÷ 4.92 = 3.28÷4.92 = 0.666

Hence, 66.6% of 6 households, have cable TV. In other words, exactly 4 households (X=4) have cable TV.

To test, you can find what 66% of 6 is. You will get 4.

6 0
3 years ago
Write the data from least to greater <br> $24, $44, $108, $36, $59, $71, $66
Radda [10]

Answer: $24, $36, $44, $59, $66, $71, $108

Step-by-step explanation:

3 0
2 years ago
When this 3-digit number is rounded to the nearest hundred, it rounds to 200.  Rounded to the nearest ten, this number rounds to
alisha [4.7K]
199, it rounds to 200 because it's closer to 200 than 100. It is also closer to 200 than to 190. And finally, 1 + 9 + 9 = 19
8 0
2 years ago
If tanisha has $100 to invest at 8% annum compounded monthly, how long will it be before she has $150?
marissa [1.9K]

An exponential behavior can be observed.

Let x be the number of years she has to wait.

100((1+0.08/12)^12x) = 150

Now solve for x.

log base 1.08/12 of 1.5 = 61.02 approx

12x=61.02

x=5.09 years

4 0
3 years ago
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