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Mila [183]
2 years ago
3

A home based sign company uses this function to model its montly profit, where x is the price of each sign it sells. What is the

company’s profit if it sells each sign for $20?

Mathematics
1 answer:
WINSTONCH [101]2 years ago
7 0

Answer:

C. $4,460

Step-by-step explanation:

The monthly profit made, is a function of the price of each sign, x. Given the function that represents that models the monthly profit, f(x) = -10x^2 + 498x - 1,500, if the price, x, is $20, the monthly profit can be solved by simply plugging in the vakue if x into the given function equation as shown below:

f(20) = -10(20)^2 + 498(20) - 1,500

f(20) = -4,000 + 9,960 - 1,500

f(20) = 4,460

The monthly profit is $4,460.

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The sum of three consecutive integers is 192. what are the integers
iVinArrow [24]

Answer:

63, 64, 65

Step-by-step explanation:

Consecutive integers have a difference of 1 between them

let the 3 integers be n, n + 1 and n + 2 , then their sum equals 192

n + n + 1 + n + 2 = 192

3n + 3 = 192 ( subtract 3 from both sides )

3n = 189 ( divide both sides by 3 )

n = 63 ⇒ n + 1 = 64 and n + 2 = 65

the 3 integers are 63, 64 and 65


4 0
2 years ago
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An equation was used to predict possible sales of phones for 6 months. The actual sales of phones are also listed.
LekaFEV [45]
They were up 15+0+25+10-20-10=20. The sum was 20 :)
3 0
2 years ago
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The ordered pairs model an exponential function, where w is the function name and t is the input variable. {(1, 60), (2, 240), (
alexandr1967 [171]
We are given the set of points
<span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)} 
If w is the function name and t is the input variable, then the equation has the form
w = k a^t
Plugging in any two of the points to solve for k and a
Choosing </span>(1, 60) and (2, 240)<span>
60 = k a
k = 60 / a

240 = k a^2

Substituting
240 = 60/a (a^2)
a = 4
and
k = 60 / 4 = 15

The function is 
w = 15 (4^t)</span>
3 0
2 years ago
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A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professio
AVprozaik [17]

Answer:

Step-by-step explanation:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is .

<h2>p=0.76</h2>
3 0
2 years ago
Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.
dem82 [27]

Answer:

2 (option B)

Question:

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

How many numbers should he have listed?

a) 9 b) 2 c)18 d) 20

Step-by-step explanation:

We would find the perfect squares that are two digit numbers

For two digit perfect squares:

Largest two digit number= 81 = 9²

Smallest two digit number= 16 = 4²

Total Two digit number perfect squares = Highest number - lowest number + 1

= 9-4+1 = 6

There are 6 two digit perfect squares

Next, we have to find how many of them have 6 in their units place.

The rule to be applied: If a number has 4 or 6 in the unit place, then its square has 6 in the units place.

Following this, the possibilities are 4², 6².

We have two of such numbers.

Therefore, he would have listed 2 numbers.

6 0
2 years ago
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