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Sergio039 [100]
3 years ago
7

Can someone please help me for four and five I need to get it done in a few minutes please help

Mathematics
1 answer:
lakkis [162]3 years ago
5 0
4.)6       2(6) + 4
   9        2(9)+ 4
   15      2(15) + 4
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A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered
Nikolay [14]
So hmm let's take a peek at the cost first

so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x

so, more than likely an insurance agency is charging them 300x for coverage

anyway, thus the cost C(x) = 250,000 + 300x

now, the Revenue R(x), is simple is jut price * quantity

well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits

so... let's see what the price say y(x) is  \bf \begin{array}{ccllll}
quantity(x)&price(y)\\
-----&-----\\
80&5000\\
81&4970\\
82&4940\\
83&4910
\end{array}\\\\
-----------------------------\\\\

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 80}}\quad ,&{{ 5000}})\quad 
%   (c,d)
&({{ 83}}\quad ,&{{ 4910}})
\end{array}
\\\quad \\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30
\\ \quad \\\\
% point-slope intercept
y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\
\left.\qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y=-30x+7400

so.. now we know y(x) = -30x+7400

now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"

that simply means R(x) = -30x²+7400x


now, for the profit P(x)

the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)

P(x) = (7400x - 30x²) - (250,000+300x)

P(x) = -30x² + 7100x - 250,000

now, where does it get maximized? namely, where's the maximum for P(x)?

well \bf \cfrac{dp}{dx}=-60x+7100

and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum
7 0
3 years ago
Which sample is representative of the population being studied?
Lesechka [4]
First, let's break down what the difference between a sample and population is. A sample is a small part or quantity intended to show what the whole is like. A population is all inhabitants of a town, country, or the world. Samples are only representative of the population if the data collected is being collected in a fair manner. In answer choices A - C, the researcher is collecting data in locations specific to what is being studied. The outcome is likely to be bias because of the method in which the data is being collected. It is for that reason that the correct answer is D. To learn how many students at her school spend more than $10 on books in a month, Mia speaks to every sixth student she meets in the school hallway. 
8 0
3 years ago
Read 2 more answers
T-SHIRTS You can buy 3 T-shirts for $24. Write a proportion that gives the cost
GrogVix [38]

7:56

Figure out what 7/3 is so you can multiply 24 by that number. Is is 2 1/3 so when you multiply 2 1/3 by 24 it gets you to 56 so the proportion is 7:56

8 0
2 years ago
John received $300 for his birthday he buys 4 DVDs at $12.95 each. Sales tax is 6.5% how much birthday money does he have left
joja [24]

Answer: $244.83


Step-by-step explanation:

First find the original amount spent on dvds:

    $12.95 * 4 = $51.80

Then, the sales tax (6.5% is converted to decimal form by dividing by 100):

    $51.80 * 0.065 = $3.367

Add the sales tax to the original amount to get the total amount spent:

    $51.80 + $3.367 = $55.167

Round to the nearest hundredth:

    $55.167 -> $55.17

Subtract the total amount from the money received for his birthday:

    $300 - $55.17 = $244.83

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3 years ago
4.9×108 in standard form?
ICE Princess25 [194]

Answer:

6.372

Step-by-step explanation:

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3 years ago
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