For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the total sales for the next two years is mathematically given as
A=11968.04
What are total sales for the next two years (including the first January).?Generally, the total sales is mathematically given as
A=5600(1-2/100)^9(1+4/100)^24
A=5600(.98)^9(1.04)^24
A=11968.04
In conclusion, total sales for the next two years
A=11968.04
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true or false? multiplying the parent linear function by 3/4 results in vertical stretch
f(x) ⇒ a*f(x)
This results in a vertical stretch, or compression.
When a > 1, we refer to this as a vertical stretch by a factor of a.When 0 < a < 1, we typically refer to this as a vertical compression by a factor of [tex]\dfrac{1}{a}[/tex].**There are multiple correct answers when asked about a, or vertical stretches/compressions.
Let's say we're given [tex]\dfrac{1}{2}f(x)[/tex]. In this case, 0 < a < 1.We could say the following:
f(x) underwent a vertical stretch by a factor of [tex]\dfrac{1}{2}[/tex].f(x) underwent a vertical compression by a factor of 2.Both of the above responses are correct.
Solving the QuestionWe're given:
We multiply the parent function by [tex]\dfrac{3}{4}[/tex].In this case, 0 < a < 1.
This results in a vertical stretch by a factor of [tex]\dfrac{3}{4}[/tex].This results in a vertical compression by a factor of [tex]\dfrac{4}{3}[/tex].AnswerTrue and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.
Please help plsssssss
Answer:
Box 1. 2x
Box 2. -13 (1/3) or (-40/3)
Box 3. 2x
Box 4. (2/3)x
Box 5. 3
Box 6. 3
Box 7. -20
Box order left to right.
Step-by-step explanation:
(5/3)x + (1/3)x = 13 (1/3) + (8/3)x
add numberator ( top number ); keep the denominator the same ( bottom number )
Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)
------------------------------------------
Line 2. -13 (1/3) = (8/3)x - 2x
-------------------------------------------
Ex. 3 × (-13) = 39 - 1 = (-40/3)
--------------------------------------------
Line 3. (-40/3) = (2/3)x
---------------------------------------------
Line 4. (3) (-40/3) = (2/3)x (3)
----------------------------------------------
-40 = 2x
÷2 ÷2
Line 5. -20 = x
-------------------------------------------------
Sorry if this is a little confusing. I hope this helped!
Step-by-step explanation:
2
-13/1/3 ; 2
2/3
3 ; 3
-40
hope it help
8. (10 pts) A square plate is being heated so that the length of a side increases at a rate of 0.08 cm/min. How fast is the area increasing when the length of a side is 12cm?
Answer:
none of the fruit are not ripe
What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.
Answer:
1•7
Step-by-step explanation:
Answer Accorfing ti te pasaje we no get:
here is it not sure if you will spot it
i dont understand your question
Answer:
[tex]f(x)=-5x^2+20x[/tex]
8.75 m
Step-by-step explanation:
Given ordered pairs: (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)
From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant. Therefore, the relation is not linear.
As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.
The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).
Creating an equation using the x-intercepts:
[tex]f(x)=a(x-0)(x-4)[/tex] where [tex]a[/tex] is some constant
[tex]\implies f(x)=ax(x-4)[/tex]
[tex]\implies f(x)=ax^2-4ax[/tex]
Creating an equation using the vertex form:
[tex]f(x)=a(x-2)^2+20[/tex]
[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]
Equating constants to determine a:
[tex]4a+20=0 \implies a=-5[/tex]
Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]
When x = 0.5:
[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]
[tex]=-1.25+10[/tex]
[tex]=8.75[/tex]
Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.
If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
How to calculate the volume of a pyramid.Mathematically, the volume of a pyramid is given by the formula:
[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]
For the base area:
The area of a right triangle is given by:
[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]
A = 54 square units.
Given the following data:
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:
[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]
h = 13 units.
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Can somebody please help me thank you
Answer: <
Step-by-step explanation:
7 – (5t - 13) = -25
i need help with this question
Answer:
t=9
Step-by-step explanation:
Solve -
Distribute :7-(5t - 13) = - 25
7 - 5t + 13 = - 25
Add the numbers :7 – 57 + 13 = -25
20-51 = -25
Rearrange terms :20-51 = -25
-51+ 20 = -25
Subtract 20 from both sides :-51 + 20 = -25
-51+20-20-25-20
Simplify :Subtract the numbers
-51+ 20-20-25-20
-5:=-25-20
Subtract the numbers
-51 = -25-20
-51 = -45
-51 = -45
Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =
Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5
t = - 45 - -5
Divide the numbers :
t = - 45 - -5 ” t=9 ” here’s the answer
No Calculator Let gbe a twice-differentiable function. The function g and its derivatives have the properties indicated in the table above. 0 0
Hi there!
Part D:
We can use the Taylor Polynomial expansion for a second-degree polynomial:
[tex]P_3(x) = g(c) + \frac{g'(c)}{1!}(x - c) + \frac{g''(c)}{2!}(x - c)^2[/tex]
Where c is the value that the polynomial is centered about.
We are given that:
[tex]g(c) = 1\\\\g'(c) = 0\\\\g''(x) = 2[/tex]
Therefore:
[tex]P_3(x) = 1 + \frac{0}{1}(x - 2) + \frac{2}{2!}(x - 2)^2\\\\\boxed{P_3(x) = 1 + (x - 2)^2}[/tex]
Simplify (X-2)(x+3)(2x+1)
Answer:
Step-by-step explanation:
Use FOIL method.
(x -2)(x+3) = x*x + x*3 + (-2)*x + (-2)*3
= x² + 3x - 2x -6 {Combinelike terms}
= x² + x - 6
(x² + x -6)*(2x + 1) = x²*2x + x²*1 + x*2x +x*1 + (-6)*2x + (-6)*1
= 2x³ + x² + 2x² + x -12x - 6
= 2x³ + 3x² - 11x - 6
Use the slope formula to find the slope of the line through the points (2, 10) and (-3,-6).
Answer:
3.2
Step-by-step explanation:
Your input: find the slope given two points P=(2,10) and Q=(−3,−6).
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by
m=y2−y1/x2−x1
We have that x1=2, y1=10, x2=−3, y2=−6.
Plug the given values into the formula for slope: m=(−6)−(10)/(−3)−(2)=−16/−5=16/5.
Answer: the slope of the line is m=16/5≈3.2.
which of the following are polynomials
Answer:
I think so Option D is the correct answer
A group of students is writing a phone message app to provide better word suggestions based on the context of the word and the words the person used in the past. They will earn an A on the project if their teacher is convinced that their program suggests the correct word at least 54% of the time. The current success rate for this app is 54%. The teacher randomly selects 100 words and finds that the students’ program correctly suggests 64 of the words. To determine if this data provide convincing evidence that the proportion of correct words is more than 54%, 150 trials of a simulation are conducted. The results are shown in the dotplot. The teacher is testing the hypotheses: H0: p = 54% and Ha: p > 54%, where p = the true proportion of words the app will correctly predict. Based on the results of the simulation, what is the estimate of the P-value of the test?
Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of each pen if. Y=80
I need it know
Answer:
30 pesos
Step-by-step explanation:
Given
Had 200 pesos originallyspends 'y' pesos on a notebookBought 4 colored pens with the rest of the moneySolving
Let money of the pen = x, money of notebook = y4x + y = 2004x + 80 = 2004x = 120x = 30 pesosGEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
18 ft
d ft
22 ft
12.6 ft
O 160 ft
O 4'ft
28,4 ft
Answer:
d = 12.6 ft
Step-by-step explanation:
From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Therefore, use Pythagoras Theorem to find the measure of d.
Given values:
a = db = 18 ftc = 22 ftSubstitute the given values into the formula and solve for d:
[tex]\implies d^2+18^2=22^2[/tex]
[tex]\implies d^2+324=484[/tex]
[tex]\implies d^2=484-324[/tex]
[tex]\implies d^2=160[/tex]
[tex]\implies d=\sqrt{160}[/tex]
[tex]\implies d=12.6491106...[/tex]
Therefore, d = 12.6 ft (nearest tenth).
Learn more about Pythagoras Theorem here:
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A store pays $25 for an encyclopedia. The store marks up the price by 40%. What is the amount of the mark-up?
solve pls don't spam for marks
Answer:
the first answer is commutative property of addition and the second answer is commutative property of multiplication
Step-by-step explanation:
hope this helps
have an awesome day -TJ
if you need anymore help just let me know
pls mark brainliest :)
(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
What number is in the tenth's place? 41.53
Answer: The number in the tenth's place is 5
Step-by-step explanation:
There is no ones place in decimals
41.53
the tenth's place come first then the hundredth's and so on.
Answer:
5
Step-by-step explanation:
4 = tens
1 = ones
.
5 = tenths
3 = hundredths
Looking at the statement below, what is the current balance in the account if the beginning balance was $894.83?
Please help a bro out
Answer: $355.39
Step-by-step explanation: subtract 174.25,180.96,184.24 from 8194.84 =
Sketch a graph of − 3 x − y = − 4
Answer:
Step-by-step explanation:
Estimate by rounding each decimal to the nearest whole number. 5.85+23.24
Answer:
Step-by-step explanation:
Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is
10.5 m long. How long is the hall on her plan?
cm
Answer:
Step-by-step explanation:
Scale factor = 4 : 500
= 1 : 125
Let the length of hall in her plan = x cm
1 : 125 = x : 1050
[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]
Cross multiply,
1*1050 = x*125
[tex]\sf x =\dfrac{1050}{125}[/tex]
x = 8.4 cm
The length of the hall in her plan = 8.4 cm
PLEASE HELP WILL GIVE BRAINLIEST
express the confidence interval 0.255 plus or minus 0.045
Answer:
0.255+45=0.300
or
0.255 - 0.045 = 0.210
draw a diagram and explain how you can use it to find 3 ÷ 1/5
Answer:
3/1/5
3×5/1
15/1
15 you don't need diagram
if julie make 18 baskets how many baskets does kari make how many baskets do they make in all
Answer:
18x
Step-by-step explanation:
j=18
k=x
18xor18
I do not understand this question
6 · 6 · 6 · 6 = 1,296. Using exponents, write two more expressions that also have a value of 1,296.
Help..........................
Hello! I believe your answer is x= -4 so B
===
Hope this helps and feel free to give feedback
Answer:
x = -4
Step-by-step explanation:
hi i need help ill give brainlyest
Answer: 48.
Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side. 48 is at the the tip of the left whisker. Therefore, that's your answer.
Hope this helps! :)