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CaHeK987 [17]
2 years ago
5

You are enrolled in a wellness course at your college. You achieved grades of 70, 86, 81, and 83 on the first four exams. The fi

na exam counts the same as an exam given during the semester. A.) If x represents the grade on the final exam, write an expression that represents your course average (arithmetic mean). B.) If your average is greater than or equal to 80 and less than 90, you will earn a B in the course. Using the expression from part A for your course average, write a compound inequality that must be satisfied to earn a B.
Mathematics
1 answer:
Ilya [14]2 years ago
4 0
Note that there are 5 exams altogether:  4 hour exams and 1 final exam.  Let the grade on the final be x.

The arith. mean of these 5 grades would be
                                                                        <span>70+ 86+ 81 + 83 + x
</span>                   course grade = arith. mean = -------------------------------------
                                                                                        5
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vfiekz [6]

Answer:

1) as-16a

taknig a as common

=a(s-16)

2)as-4a³

taking a as common

=a(s-4a²)

3)2a³+8a-4a²-16

taking common terms

=2a(a²+4)-4(a²+4)

=(2a-4)(a²+4)

again taking common

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i hope this will help you :)

7 0
3 years ago
Factorise the following:<br> c) x - 3x + 2
fenix001 [56]

Answer:

2 ( - x + 2 )

Step-by-step explanation:

x - 3x + 2 = - 2x + 2

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2 = 2 * 1

- 2x + 2 = 2 ( - x + 2 )

Hence factorized.

8 0
2 years ago
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7 0
2 years ago
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Reese deposited $7500 for two years into a money market account. At the end of two years, she earned $1200 interest. What rate o
icang [17]

Answer:

She deposited $7500. So it is the principal.

At the end of  years, she had total of $8700.

So the total amount is $8700 and the time period is 2 years.

Interest = Total amount - principal = $8700 - $7500 = $1200

We need the rate of interest.

we know that Interest = PTR/100

⇒1200 = 7500*2*R/100

⇒R = 1200*100/7500*2

⇒R = 120000/15000 = 8%

Rate of interest is 8%

Step-by-step explanation:

6 0
2 years ago
If Starbucks’s marketing department estimates the income elasticity of demand for its coffee to be 2.8, how will the prospect of
cluponka [151]

Answer:

The percent change in quantity is -0.14%.

Step-by-step explanation:

The formula to compute the change in quantity is:

Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}

The income elasticity of demand is 2.80.

Percent change in price is -5% (since the prices decreases)

Compute the percent change in quantity demanded as follows:

Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}\\2.80=\frac{Percent\ change\ in\ qunatity\ demanded}{-5\%}\\Percent\ change\ in\ qunatity\ demanded=2.80\times(-5\%)\\=-0.14\%

Thus, the percent change in quantity is -0.14%.

6 0
2 years ago
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