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Shtirlitz [24]
3 years ago
12

Select the function that represents the following transformations of f(x) = | x |:

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

g

Step-by-step explanation:

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Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge
sammy [17]

Answer:

$7.62 per hour


Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

F=P(1+r)^t

Where,

  • F is the future value (what we want to find)
  • P is the present rate ($6.5)
  • r is the rate of growth, in decimal (2% growth means 0.02)
  • t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62


Thus, after 2 years, Heather's hourly rate will be $7.62


7 0
3 years ago
. A survey of 30 students is taken. 11 students say that mathematics is their favorite subject. Based on this survey, how many s
Sveta_85 [38]
Ok, so based on a survey - you know that out of 30 students, 11 said that their favourite subject is mathematics. :-)

This means that:

11/30 of these students think mathematics if their favourite subject.

Now, in order to answer your question, we are going to have to change the denominator of the fraction above to 1000. Whatever we do to the denominator of this fraction, we must do to the numerator of this fraction.

Example:

\frac { 11 }{ 30 } \times \frac { \frac { 1000 }{ 30 }  }{ \frac { 1000 }{ 30 }  } \\ \\ =\frac { \frac { 11000 }{ 30 }  }{ 1000 } \\ \\ =\frac { 366.\dot { 6 }  }{ 1000 }

This means that rounded to the nearest ten, theoretically speaking, 370 students out of 1000 would say that mathematics is their favourite subject.
7 0
3 years ago
Read 2 more answers
What is the volume of a 14 in diameter pipe that’s 2156 long?
storchak [24]

Answer:


Step-by-step explanation:

given that diameter of the pipe = 14 inches

radius = 7 inches

Length =2156 inches

Pipe is in the form of a cylinder

Volume of cylinder = pi r^2 h

where r = radius and h = l = 2156

We have to substitute the values of r and h.

Let us take pi as 22/7

= 22/7 (7)(7)(2156)

Cancel out 7 and multiply the remaining 22 ,7 and 2156

=332024 cubic inches

4 0
3 years ago
Need the answer fast, please
Nikitich [7]

Answer:

d

Step-by-step explanation:

2x+3x-9-1

x

<em><u>2 ^{2}  + 4x - 10</u></em>

4 0
2 years ago
The following graph shows a proportional relationship.
Molodets [167]

Answer:

4

Step-by-step explanation:

because, if y = 4 and x = 1 then it would be 4/1 or 4 just simplify.  

Y/X --- Y = 4 --- X = 1 ---- that makes 4/1 or 4

5 0
3 years ago
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