Question
The value of a computer y, depreciates, or decreases as time passes. A computer was purchased for $3200 in 2018. In
2020 the computer was worth $2000. Assume the relationship between number of years after 2018 x, and value of
computer, y is linear.
Answers
The value of the computer decreases by $800 per year.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Let y represent the cost of the computer and x represent the years after 2018.
A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in 2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]
Therefore the value of the computer decreases by $800 per year.
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A linear relationship will always decrease or increase at a constant and uniform rate.
The linear equation is [tex]\mathbf{y = -600x +3200}[/tex]The estimated value in 2022 is $800The estimated value in 2024 is -$400, and it does not make sensePart 1
(a) The linear equation
In 2018, the value is $3200
In 2020, the value is $2000
Let the number of years since 2018 be x, and the value be y
So, we have the following representation
[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]
Divide
[tex]\mathbf{m = - 600}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]
So, we have:
[tex]\mathbf{y = -600(x -0) +3200}[/tex]
[tex]\mathbf{y = -600x +3200}[/tex]
Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]
(b) The estimated value in 2022
In 2022, x = 4
So, we substitute 4 for x in the linear equation
[tex]\mathbf{y = -600x +3200}[/tex]
[tex]\mathbf{y = -600 \times 4 +3200}[/tex]
[tex]\mathbf{y = 800}[/tex]
Hence, the value in 2022 is $800
Part 2
The estimated value in 2024
In 2024, x = 6
So, we substitute 6 for x in the linear equation
[tex]\mathbf{y = -600x +3200}[/tex]
[tex]\mathbf{y = -600 \times 6 +3200}[/tex]
[tex]\mathbf{y = -400}[/tex]
Hence, the value in 2024 is -$400
This value does not make sense, because the value cannot be negative
Read more about linear equations at:
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Related Questions
For a Brainlist please help me out
+ give accurate explanation
Answers
Answer:
A:Tina's. B: Gabby's
Step-by-step explanation:
Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.
At this point, let's start dealing with the questions.
A. They bought the plants at week 0.
For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]
For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.
B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.
19 is 5 times a number - 2
I really need the equation
Answers
Step-by-step explanation:
19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2
If Jada runs 5 laps around the track in 6 minutes how many minutes per lap is that
Answers
Answer:
1.2 minutes
Step-by-step explanation:
5 laps >> 360 ( 6×60)
1 lap >> x
cross multiplication
5x = 360
x = 360/5
x= 72 second
x = 72/60 = 1.2 minute
What is the solution to the system of equations?
V
스를
2
X +3
X = -2
ㅇ(-2,-1)
ㅇ(2)
0
11
0
아2를
Answers
Step-by-step explanation:
x = -2
is a given.
now use this also in the first equation :
y = 2/3 × -2 + 3 = -4/3 + 9/3 = 5/3
so, [-2, 5/3] is correct
how much time is required to change 22Ns momentum by a force of 20N.
Answers
Answer: time is 1.1 sec
Step-by-step explanation:
Answer:
1.1s
Step-by-step explanation:
t=m/F
t=time, m=momentum, F=Force
t=22/20= 1.1s
What is the slope of the equation Y= 5/4 x - 7/4?
a. -7
b. -7/4
c. 5/4
d. 5
Answers
Answer:
a
Step-by-step explanation:
Answer: c
Step-by-step explanation:
hat is an equation of the line that passes through the point (4,-6) and has a slope of -3?
1. y=-3x + 14
2. y=-3x + 6
3. y=-3x - 6
4. y = -3x + 10
Answers
Answer:
2
Step-by-step explanation:
y=-3x+6
Please show all work
No links please
Answers
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today! I hope you are having a nice day.
So we can solve this in one single step, I'll start off with solving it.
So first we know that [tex]AB=DF[/tex] and of which [tex]DF[/tex] is the Hypotenuse of triangle [tex]DE F[/tex].
Since the hypotenuse is equal to one of the legs of the 2nd triangle, we cannot use any rule that has Side in it as they are both not really getting us anywhere.
We do know that [tex]<ABC=<DE F[/tex] as they are both 90 degrees.
As we don't have enough proof, these triangles are not congruent as we would need to do/prove rule RHS.
Cheers!
at a baseball game, henry bought 5 hotdogs and 3 bags of chips for $14.82. scott bought 7 hotdogs and 6 bags of chips for $22.89.
Answers
please help me :,)
x=-2
x=-1
x=0
x=1
x=2
Answers
Answer:
x can equal either 0 or 1
Step-by-step explanation:
If we look at the chart, we see that the values of 3^x = 2x+1
when x is 0 and when x is 1
so f(x) = g(x) when x = 0 or 1
What is the answer?? I need help!!
NO LINKS!!!
Answers
Function
Use "vertical line test"
searched it if you don't know
Step-by-step explanation:
yes, it is a function.
every value of x has exactly one associated (result) value of y.
that several different x have the same result value y, is not a problem.
a problem would be, if there were at least one value of x that would have multiple possible result values. then it would not be a function.
Distribute to write an equivalent expression 7(x+3)
Answers
Answer:
7x + 21
Step-by-step explanation:
7(x + 3)
= 7.x + 7.3
= 7x + 21
Answer:
[tex]7x+21[/tex]
Step-by-step explanation:
Multiply the single term 7 by each term of the polynomial [tex](x+3)[/tex]
helppppppppppppppppppppppppppppppppppppppppppppppp i will biranlllllly
Answers
Answer:
I don't know if this is right, sorry. I tried my best to determine them, none of them seemed like the would never happen besides the dog one. Have a nice day!
Step-by-step explanation:
a) even chance/ 1/2
b) even chance/ 1/2
c) no chance :( 0
d) even chance/ 1/2
e) even chance/ 1/2
how do I find a slope that does not have zero as a point of origin
Answers
Answer:
See answer below.
Step-by-step explanation:
Pick any two ordered pairs that is on the given graph line.
The Slope = (the change in the y-values)/(the change in the x-values) or
please answer this I’ll mark brainliest and follow
Answers
this is the correct answer
True answer only) branlest)
Answers
Answer:
The perimeter of this triangle is 33m.
We can find this by knowing a few things.
1. All sides of this triangle are the same because all the angles are the same.
2. This is an equilateral triangle.
The first thing we need to do is find out what x equals. We can do this by taking 2 of the equations and setting them up like so...
[tex]( 7x - 17 ) = ( 4x - 5 )[/tex]
Then we can plug this into a calculator and find out that x equals 4. And from there we can plug that x value into the equation. And since all sides are the same we just need to find the length of one side and multiply that by 3. So...
[tex]2x+3 = (2*4) +3[/tex]
Then we do some simple math to find that one side has a length of 11m so the entire perimeter is 33.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group.
Find the number of adults and kids in the group.
A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids
Answers
(B) 3 Adults and 7 Kids
Explanation:
The first thing we have to do is define variables:
X = adult
Y = kids
Next we will create equations for the information given:
8X + 5Y = 59
X + Y = 10
So to determine the answer we must combine the equations.
X = 10 - Y
8(10 - Y) + 5Y = 59
Distribute the 8
80 -8Y + 5Y = 59
Move the 80 to the other side and combined like terms
-3Y = -21
Divide by -3
Y = 7
Plug Y into an original equation
X + 7 = 10
Subtract 7
X = 3
Double check by plugging both variables into the other original equation
8(3) + 5(7) = 59
24 + 35 = 59
59 = 59
Therefore, there are 3 adults and 7 kids. (B)
3 yards of ribbon for 1.50 how much yard would 5 yards be
Answers
because 1.50/3 is 0.50 and 0.50x5 equals to 2.50
Answer:
1. divide 1.50 by 3 to get the unit cost of a yard
of ribbon. the ansvwer is .75.
2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons
Step-by-step explanation:
final answer $30
helpppppp asapppppp pls
A: 80°
B: 75°
C: 110°
D: 95°
Answers
Answer:
A. 80 degrees
Step-by-step explanation:
the equation at the top tells you that they are the same shape so you just need to find which angle one the first shape is equal to the angle H
help asap help asap for a brainlist
Answers
Answer:
x=4
Step-by-step explanation:
Step 2 and 3 are incorrect,
4x+8 = 24
24-8 = 16
it should then be 4x=16
you then divide by 4 on each side
x=4
Tyrone has already typed 100 words for an essay and can type 35 words per minute. Vanessa has already typed 120 words and can type 30 words per minute. In how many minutes will Tyrone and Vanessa have typed the same number of words?
Answers
Answer:
cant help you, but thanks for the points
PLZZZ HELPPPP MEEEEEEE
Answers
Step-by-step explanation:
I can help you, but first make me brainliest
Paul was thinking of a number.Paul doubles it and gets a answer of 13.1.What was the orginal number?
Answers
Answer:
See below:
Step-by-step explanation:
So first, Paul has a number that he got before he multiplied it, we can call that [tex]p[/tex], and for his answer after doubling it. we'll call it [tex]n[/tex].
So with this information, we know that [tex]n=13.1[/tex] so we can use that to make an equation.
[tex]p*2=n\\p*2=13.1[/tex]
We can solve it by first dividing on both sides and getting our answer.
[tex]p=\frac{13.1}{2} \\p=6.55[/tex]
Cheers! We get our final answer of 6.55.
Determine the solution for the following equation: (8x-8)3/2=64
Answers
Answer:
X=3
Step-by-step explanation:
Edge2021
-1.2= y/2.4 -1.7
Solve for y
Answers
[tex]{\huge{\boxed{\sf{Question}}[/tex]
[tex]-1.2= y\div2.4 -1.7[/tex]
Solve for y
[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]
let's put our equation first
[tex]-1.2= y\div2.4 -1.7[/tex]
Flip the equation
[tex]y\div2.4-1.7=-1.2[/tex]
Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]
[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]
BracketsOf multiplicationDivisionAdditionSubtraction[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]
ParenthesisExponentsMultiplicationDivisionAdditionSubtraction_________________________
[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]
_________________________
[tex]y\div2.4-1.7=-1.2[/tex]
[tex]{\underline{simplify}}[/tex]
[tex]0.416667y-1.7=-1.2[/tex]
add [tex]1.7[/tex] to both sides
[tex]0.416667y=0.5[/tex]
Divide both sides by [tex]0.416667[/tex]
[tex]y=1.2[/tex]
[tex]{\huge{\boxed{\sf{Answer}}}[/tex]
[tex]y[/tex] would equal [tex]1.2[/tex]
The temperature of a mixture changes by −5.2°F between 8 a.m. and 11 a.m. At 6 p.m., the temperature is 14.5°F, which is half what it was at 11 a.m.
What was the temperature at 8 a.m. of the mixture?
Enter your answer as a decimal in the box.
Answers
Answer:
34.2
Step-by-step explanation:
Answer:
K12 Answer
Step-by-step explanation:
Harley downloads 8 games the total amount of available memory used for the games 57.2 gigabytes
Answers
Answer:
each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.
Step-by-step explanation:
57.2 divided by 8 is 7.15
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire
Answers
Answer:
3p to shape and 10 minutes to fire
= 3p + 10
3x10 + 10 = 40 minutes for a batch of 10 pots
therefore D is the correct answer.
The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots. Therefore, option D is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, a ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln.
There are p pots in a batch.
3p to shape and 10 minutes to fire
So, the expression is 3p+10
To form and fire a batch of 10 pots:
Put p=10 in 3p+10, we get
3x10 + 10 = 40
Therefore, option D is the correct answer.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ6
"Your question is incomplete, probably the complete question/missing part is:"
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots.
B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.
C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.
D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.
Answer Please will give brainliest.
Answers
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.
Answers
Answer:
-9?????????????????????????
Step-by-step explanation: