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Fynjy0 [20]
3 years ago
8

You earn $20.00 per hour at your job. If you get a 10% raise at the end of each year, what will your hourly rate, h, be after 8

years? Use the equation h=C(1+r)^t, where C is the beginning hourly rate, r is the growth rate, and t is time in years.
A. $36.00
B. $22.00
C. $47.27
D. $42.87
Mathematics
1 answer:
love history [14]3 years ago
4 0
R is the rate (10%)
C=20, begiing rate
T=time=8

so

h=20(1+0.10)^8
h=20(1.1)^8
h=42.8718
ronnd

$42.87


D is answer

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Which situation could be represented by the graph?
Ymorist [56]

The correct option which resembles with the given graph is \fbox{\begin\\\ optionA and optionC\\\end{minispace}}.

Further explanation:

From the given graph the it is observed that the interval is [8,11) which is a half open interval or it can be said that it is a half closed interval.

A half closed or a half open interval is an interval in which one end point of the interval is included but the other point is not included.

For example:

In an interval of the form [a,b) the point a is included in the set but the point b is not included in the set.

Similarly, in the interval [8,11) the point 8 is included in the set but the point 11 is not included in the set.

In order to determine the correct option which resembles with given graph form interval for each option.

Option A:

As per the statement in option A the age of the student must be at least 8 years and not more than 11 years that is the age of the student is either 8 years or greater than 8 years and less than 11 years.

As per the above statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}} in which 8 is included in the set and 11 is not included which means it is a half closed or half opoen interval.

Therefore, \fbox{\begin\\\ optionA\\\end{minispace}} is a correct option.

Option B:

As per the statement in option B the amount of money the babysitter can earn is between \$8 and \$11 per hour.

As per the above statement the interval formed is \fbox{\begin\\\ (8,11)\\\end{minispace}} in which both of the end points are not included in the set which means that it is an open interval.

Therefore, \fbox{\begin\\\ optionB\\\end{minispace}} is an incorrect option.

Option C:

As per the statement in option C the time required to complete a program in college cannot be less than 8 hours and the time must be less than 11 hours.

From the above statement it is concluded that the time required can be 8 hours or more than 8 hours but it has to be less than 11 hours.

So, as per the above the statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}}.

Therefore, \fbox{\begin\\\ optionC\\\end{minispace}} is a correct option.

Option D:

As per the statement in option D the age of the dogs is either 8 years old or below 8 years and age of the dog must be greater than  11 tears.

As per the above statement the interval formed is \fbox{\begin\\\ (-\infty,8) \bigcup(11,\infty)\\\end{minispace}}.

Therefore, the \fbox{\begin\\\ optionD\\\end{minispace}} is an incorrect option.

So, \fbox{\begin\\\ optionA and optionC\\\end{minispace}} are the correct options which resembles with the given graph.

Learn more:

  1. A problem on composite function brainly.com/question/2723982
  2. A problem to find radius and center of circle brainly.com/question/9510228
  3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sets

Keywords: Interval, set, open interval, closed interval, half open interval, half closed interval, set theory, program, community college, babysitters, veterinary clinic, ages, students.

5 0
3 years ago
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A group of fitness club members lose a combined total of 28 kg in one week there approximately 2.2 pounds and 1 kg assuming the
Akimi4 [234]

Answer:

  8.8 pounds

Step-by-step explanation:

There are 7 days in a week, so the daily loss was ...

  (28 kg)/(7 days) = 4 kg/day

In pounds, that is about ...

  (4 kg/day)(2.2 lb/kg) = 8.8 lb/day

6 0
3 years ago
What is the value of 4p-2, when p=8
ohaa [14]
4p - 2  when p=8

(4 x 8) - 2
32 - 2
30

answer: 30
hope it helped :)
7 0
3 years ago
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9. Triangle Construction pays Square Insurance $5,980
xxTIMURxx [149]

The triangle pay $32 more for that day than it paid per day during the first period of time.

Step-by-step explanation:

The given is,

              Triangle Construction pays Square Insurance $5,980

               To insure a construction site for 92 days

               To extend the  insurance beyond the 92 days costs $97 per day

               Triangle extends the insurance by 1 day

Step:1

              Insurance per day from the 92 days period,

                                                                           = \frac{Total insuratio for 92 days}{Period}

               Where, Total insurance for 92 days = $ 5,980

                                                               Period = 92 days

               From the values, equation becomes,

                                                                            =\frac{5980}{92}

                                                                           = $ 65 per day

Step:2

              Insurance per day after the 92 days,

                                                                           = $ 97

               Amount Pay for that day than it paid per day during the first period of time,

                                                                            =(97-65)

                                                                           = $32

Result:

             The triangle pay $32 more for that day than it paid per day during the first period of time, if  the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the  insurance beyond the 92 days costs $97 per day.

                                                                         

8 0
3 years ago
The prime factorizations of 54 and 72 are shown below.
Karo-lina-s [1.5K]
Your answer is 2’3’3!! (2*3*3 = 18)

hopefully this helps, good luck bud! :)

5 0
3 years ago
Read 2 more answers
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