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77julia77 [94]
2 years ago
15

The equation of the trend line shown is = − 20/9 + 900. Use the trend line to predict the number of minutes it will take Mrs. Th

ompson’s class to complete the 900 pages.
Mathematics
1 answer:
Naddik [55]2 years ago
8 0

We want to use a linear equation to predict the time that it would take to read 900 pages.

The solution is: Mrs. Thompson's class will need 405 minutes to complete the 900 pages.

<em>Now let's see how we got the solution:</em>

Sadly, you didn't write the variables in the equation, so I will assume that the linear equation is:

y = -\frac{20}{9}*x + 900

Where:

  • y is the number of pages left.
  • x is the time in minutes.

To find <u>the time it would take to read the 900 pages, we need to find the value of x such that y = 0</u>, this means that we need to solve:

0 = y = -\frac{20}{9}*x + 900\\\\0 = -\frac{20}{9}*x + 900

The solution will be given by:

0= -\frac{20}{9}*x + 900\\\\\frac{20}{9}*x = 900\\x = (9/20)*900 = 405

This means that Mrs. Thompson's class will need 405 minutes to complete the 900 pages.

If you want to learn more, you can read:

brainly.com/question/15125547

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Answer:

X + (0.18 * X)  

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Step-by-step explanation:

The first thing you have to do is convert the percentage to a decimal value. For example, if it is 30%, its decimal value is 0.30. As simple as dividing that 300 by 100. Repeat the previous step with all the percentages you have to add.

In this case it is 18% therefore the decimal value will be 0.18. As we do not have the value of the account, we will call this value X .

Therefore the total price of the account, that is, with the addition of the tip is as follows:

X + 18% de X =

X + (0.18 + X)

7 0
3 years ago
Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict th
BaLLatris [955]

Answer:

20,158 cases

Step-by-step explanation:

Let t=0 represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

F(t)=102,390(1-0.15)^t

F(t)=102,390(0.85)^t

To find number of cases in 2020, we will substitute t=10 in our decay function as:

F(10)=102,390(0.85)^{10}

F(10)=102,390(0.1968744043407227)

F(10)=20,157.970260446597\approx 20,158

Therefore, 20,158 cases  will be reported in 2020.

3 0
3 years ago
How to slove this question 7v-v=12
vampirchik [111]
7v-v=12  subtract v from 7v to get 6v
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5 0
3 years ago
ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1). Find the coordinates of O' a
Setler79 [48]
Given:
T (-3,4) ; O (-4,1) ; Y (-2,3)
T'(-1,1) ; 

T
-3 move forward 2 points to reach -1
4 move forward 3 points to reach 1

O
-4 move forward 2 points to reach -2
1 move forward 3 points to reach -2

Y
-2 move forward 2 points to reach 0
3 move forward 3 points to reach 0.

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3 0
3 years ago
Read 2 more answers
Suppose that the percentage change in demand is 10%, the price elasticity of demand is 1, and the price elasticity of supply is
maria [59]

Answer: 3.3%

Step-by-step explanation:

Formula:

The percentage change in equilibrium price = (percentage change in demand) / (Ed + Es) * 100%

The given parameters are:

Percentage change in demand = 10% = 0.1

Ed (Price elasticity in demand) = 1

Es (Price elasticity in supply) = 2

Therefore, substituting the given parameters into the formula above,

Percentage change in equilibrium price = 0.1/(1+2) * 100%

= 0.1/3 * 100%

= 0.03333 * 100%

= 3.33%

This means that the percentage change in equilibrium price will be 3.33% when the change in demand is 10%.

3 0
3 years ago
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