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makvit [3.9K]
2 years ago
12

A student might expect that there is a positive correlation between the age of his or her computer and its resale value. Tue or

false
Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0

Answer: False

Step-by-step explanation:

As time goes by, the resale value of a computer tends to drop because it tends not to function as properly as it did before, and the quality of new computers on the market drives the price of older computers down. So you can expect that as the amount of time increases, the resale value will decrease, resulting in a negative correlation

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Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $
Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

​x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

​50x+150y=600

x=3y

Solve for y in each equation:

1)  50x+150y=600

   150y=−50x+600

   y=-1/3x+4

2)  x=3y

    y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

​

 

4 0
1 year ago
Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe
Law Incorporation [45]
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
   4y = x + 3/2
   y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
  f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
  f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0
2 years ago
In 7 days, Mario cooked 98 pounds of spaghetti. Each day after the first, he cooked 2 more pounds than he cooked than the day be
yan [13]

so I need to do a list of numbers like this:

98, 100, 102, 104, 106, 108, 110.

104 is the median number

add 98+100+102+104+106+108+110=728

divide by seven 728 / 7 = 104

so the difference between the median 104 and the avarage 104 is 0 they are

104=104


hope this helps

7 0
2 years ago
#6) Beth saved a total of $30 per month for her first car. Beth saved
cluponka [151]

Answer:

1) The domain In interval notation is [0, 20]

2) The range in interval notation is [100, 700]

Step-by-step explanation:

The given parameters are;

The amount Beth saved per month = $30

The number of months Beth saved = 20 months

The amount with which Beth opened her account = $100

Therefore, the amount of money Beth saved with respect to time is given as follows;

Y = $100 + $30 × X

Where;

Y = The amount of money Beth saved

X = The time (number of months) Beth saved

The domain is given as follows;

\{X | \ 0 \leq X \leq 20 \}

The domain in interval notation is [0, 20]

For the range, when X = 0, Y = $100

When X = 20, Y = $100 + $30 × 20 = $700

Therefore, the range is given as follows;

\{Y | \ 100 \leq Y \leq 700 \}

Which the range in interval notation is [100, 700].

6 0
2 years ago
Ray feeds his dog 0.12 kilogram of dry dog food each
Julli [10]

Answer:

The smallest bag that has enough food to feed his bag for one month

 = 3.6 kilogram

Step-by-step explanation:

The quantity of dry food Ray feeds his dog = 0.12 kilogram

So the quantity of food he feeds his dog in one month

    = 0.12 × 30              ∵ since 1 month = 30 days

    =  3.6 kilogram

The smallest bag that has enough food to feed his bag for one month

 = 3.6 kilogram

3 0
2 years ago
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