The linear function to find average cost will be A=$(2.25+0.079t), average cost of a comic book in 2020 = $4.3, Average cost will be $5 in year 2029.
what is a linear function?
A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0. Although the linear functions are also represented in terms of calculus as well as linear algebra. The only difference is the function notation. Knowing an ordered pair written in function notation is necessary too. f(a) is called a function, where a is an independent variable in which the function is dependent. Linear Function Graph has a straight line whose expression or formula is given by;
y = f(x) = px + q
It has one independent and one dependent variable. The independent variable is x and the dependent one is y. P is the constant term or the y-intercept and is also the value of the dependent variable. When x = 0, q is the coefficient of the independent variable known as slope which gives the rate of change of the dependent variable.
Now
Initial value = $2.25 in 1994
cost in 2016 = $3.99
Therefore
3.99=2.25+2.25*r*22/100
r=0.079
where r=rate
then
Average cost=initial value+0.079t
Hence
A=$(2.25+0.079t)
where t=time (given year - 1994)
cost in 2020=$(2.25+0.079*26)
cost in 2020=$4.3
Now for A=$5
5=2.25+0.079t
t=35years
Hence Average cost will be $5 in year 2029.
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whats the answer (4.5 × 10^4) ÷ (300) =
1.) 1500
2.) 1.5 × 10-2
3.) 150
4.) 1.5 × 10^6
Answer:
the answer is 150
.....
Answer:
150
Step-by-step explanation:
(4.5 x 10^4)/300=(4.5 x 10,000)/300=45,000/300=150
3^3
or 3 x 3 x 3.
4^7
( 7 x 7 x 7 x 7)
and
5^6
Answer:
3^3= 27
4^7= 16384
5^6=3125
2. Simon has to learn 155 words. If he learns 5 words every day. How many days will be take to learn all
the words?
Answer:
31 days
Step-by-step explanation:
155/5=31
Answer: 31
Step-by-step explanation:
155 divided by 5 equals 31
Using the table below, determine how much you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares.
The amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is:$15.
DividendUsing this formula
Amount=Dividend (Div)×Number of shares
Where:
Dividend=0.15
Number of shares=100
Let plug in the formula
Amount=0.15×100
Amount=$15
Therefore the amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is: $15.
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The day after the day after tomorrow is four days before Monday. What day is it today?
help meeeeee the choices and question is there :)
HELP
In a fruit basket there are 9 bananas, 4 apples, and 3 plums. Fill in the blanks- The ratio of bananas to apples is ___:___
Answer:
9:4
Step-by-step explanation:
What generalization can you make about the following equations: 7 divided by 1/4 = 28. 7 x 4 = 28. quick pls. ✌️I'll make you brainliest if you can help
Answer:
I guess its because they have the same outcome
Solve for y.
25 = y2
y =
or
Answer:
y=5 or y=−5 it does not matter either one
Step-by-step explanation:
25=y2
Step 1: Subtract y^2 from both sides.
25−y2=y2−y2
−y2+25=0
Step 2: Subtract 25 from both sides.
−y2+25−25=0−25
−y2=−25
Step 3: Divide both sides by -1.
−y2
−1
=
−25
−1
y2=25
Step 4: Take square root.
y=±√25
y=5 or y=−5
Answer:
Let's solve your equation step-by-step.
25 = [tex]y^{2}[/tex]
Step 1: Subtract y^2 from both sides.
25 − [tex]y^{2}[/tex] = [tex]y^{2}[/tex] − [tex]y^{2}[/tex]
−[tex]y^{2}[/tex]+ 25 = 0
Step 2: Subtract 25 from both sides.
−[tex]y^{2}[/tex]+ 25 − 25 = 0 − 25
−[tex]y^{2}[/tex] = − 25
Step 3: Divide both sides by -1.
[tex]y^{2}[/tex] / −1 = −25 / −1
[tex]y^{2}[/tex] =25
Step 4: Take square root.
y = ± √25
y = 5 or y = −5
Answer:
y = 5 or y = −5
Hope it helps
Please mark me as the brainliest
Thank you
I need help quick answer if you know please
Answer:
B
Step-by-step explanation:
500 x 6 = 3000
154 x 6 = 924
Hope that helps!
Jill collected honey from 9 different beehives, and recorded the amount collected, in gallons, from each hive in the line plot shown:
She wants to write the value of each point marked on the number line above (Points A-D) in gallons. What is the value of A using fractions?
My brother needs help I don't remember this devilish stuff
Answer:
A= 6/8 gallons
One eighth of 4 equals
Answer:
one eighth of 4 equals 1/5
Solve 5(2x – 3) = x – 15 + 9x for x.
Question 12 options:
A)
–18∕5
B)
–12∕5
C)
0
D)
Infinitely many solutions
Answer:
the correct answer is option C) 0
Hope that helps! :)
The function f(x)=2000(1.05)^(x) models a population of butterflies after x years. What will the population be in 7 years? plz help quick
Answer:
About 2,800.
Step-by-step explanation:
2,000(1.05)^x
x =7.
2,000(1.05)^7
find 1.05 to the power of 7, which is 1.4071....
then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.
The population of butterflies after 7 years will be approximately 2814 butterflies.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.
Here, the initial population is 2000.
To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:
f(7) = 2000(1.05)⁷
Using a calculator, we get:
f(7) ≈ 2814
Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.
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3. Complete the following as in the example:
723 = 7 hundreds + 2 tens + 3 units
a. 678 =
b. 5 021 =
C. 7 804 =
d. 6 300 =
Step-by-step explanation:
a) 6 hundreds+ 7 tens+8 ones
b) 5 thousands+2 tens+1 ones
c) 7 thousand+8 hundreds+ 4 ones
d) 6 thousands+ 3 hundreds
x+y+x=22
a+a+x=28
y+2y+2a=38
2y*x*2a=?
there are no 0, negative number, or fractions
solve for all variables
Suppose you are buying apples and bananas. The price of apples is $0.40 each and
the price of bananas is $0.25 each. Which equation models the number of apples and
bananas you can buy for $2?
a. 40x + 25y = 200
b. 40x – 25y = 2
C. 5x + 8y = 200
d. 5x + 8y = 2
Answer:
D
Step-by-step explanation:
Help me. Will give brainliest.
Answer:
63
Step-by-step explanation:
How to solve 2x +3=2(x-6)?
Answer:
3 ≠ -12
Step-by-step explanation:
2x + 3 = 2(x-6)
2x + 3 = 2x - 12
3 ≠ -12
Answer:
3 ≠ -12
Step-by-step explanation:
2x + 3 = 2(x-6)
2x + 3 = 2x - 12
3 ≠ -12
por favor ayudenme que tenga explicación y respuesta los seguiré pero plisss
Step-by-step explanation:
es fácil -2y + 3y - 5y=
-4y
derive
Sinxy = x² + 2xy
Answer:
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Step-by-step explanation:
Step(i):-
Given
sin xy = x² + 2xy ...(i)
Apply
[tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]
[tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]
[tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
The rain gauge after a week showed that there were ten inches of rain. Every day the rain evaporated two inches but one more inch of rain was added. By what day was the rain gauge free of water?
A. day 11
B. day 10
C. day 8
D. day 7
Answer:
10 days to free water from rain gauge
Samantha works in a chocolate factory at a conveyor belt that is 18 inches wide and moves large amounts of chocolate to packaging. She counts 225 chocolates in a rectangular section of the conveyor belt measuring 6.5 inches long and 18 inches wide. What is the approximate number of chocolates per square inch of the conveyor belt, rounded to the nearest hundredth?
Answer:
1.92 chocolates per in²
Step-by-step explanation:
Given that:
Dimension of conveyor belt :
6.5 inches long and 18 inches wide (6.5in * 18in)
Area of conveyor belt = 6.5 * 18 = 117 in²
Number of chocolate = 225
Number of chocolates per square inch :
225 / 117
= 1.9230769 chocolates
= 1.92 chocolates per in²
Lightening Energy Drink has 15.2 calories per fluid ounce. If Jeremy drinks two 12 ounce of Lightening Energy Drinks, then how much calories Dias he consume? Must show work
Answer:
15.2*12=182.4
Step-by-step explanation:
Use the rectangle below to answer both part 1 and part 2
X+5
Part 1: Write an equation to find the value of x, if the area of the rectangle is 48 in?
Equation:
Part 2: What is the value of x, if the area of the retangle is 48 in2? Solve your equation from part 1.
X =
Blank 1:
Blank 2:
Answer:
i believe the equation is x = 48 ÷ 4 - 5
and x = 7
Step-by-step explanation:
you will need to take the are devided by width, because area is length times width. then subtract 5.
48÷4=12
12-5=7
ayudaa para mañana !!
Answer:
ok bueno dejamr haber que ago
Answer:
2/5 > 1/3
9/20 > 13/30
17/12 < 22/15
Step-by-step explanation:
Encuentra un denominador común. por ejemplo, 2/5 y 1/3 tienen un denominador común de 15. 2/5 se convierte en 6/15 y 1/3 se convierte en 5/15. 6 es mayor que 5. ¡Espero que esto ayude y buena suerte!
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4; 2, 6, 10
C. Subtract 4: 1,5, 9
d. Add 4; 1,5,9
Answer:
d. add 4; 1, 5, 9
Step-by-step explanation:
to get from -15 to -11, they had to add 4, and so on.
-3+4= 1
1+4= 5
etc.
probar por medio de induccion
Answer:
Wt
Step-by-step explanation:
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
5 a) 22.6
b) 67.8
6 a) 9 miles
b) 18 miles
7. Alicia
Hope this helps pls mark me brainliest thx that took me ages
In a study published in the American Psychological Association's Journal of Personality and Social Psychology, 227 college students were asked to rate their level of aggression and indicate their level of exposure to video game violence. The study found that students who reported playing more violent video games engaged in more aggressive behavior. Which of the following conclusions can you make on the basis of this study?
a. There is no relationship between violent video games and aggression.
b. Nonviolent video games make students less aggressive.
c. Playing violent video games is associated with more aggressive behavior.
d. Violent video games make students more aggressive.
Answer:
c. Playing violent video games is associated with more aggressive behavior.
Step-by-step explanation:
This question is solved interpreting the text.
The study found that students who reported playing more violent video games engaged in more aggressive behavior.
The conclusion that it leads is that violent video games is associated with more agressive behavior. Keyword is associated, and the correct answer is given by option c.
The conclusion that can you make on the basis of this study is: c. Playing violent video games is associated with more aggressive behavior.
What is a Conclusion?A conclusion refers to the final understanding that can be reached on a matter based on the findings in the study.
The findings from this study indicate that students who were exposed to violent video games had the tendency of becoming more aggressive.
So, we can conclude that violent video games is associated with aggressive behavior.
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