I really need help with this

The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.


The price f(x), in dollars, of fuel A after x months is represented by the function below:


f(x) = 2.27(0.88)x


Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)


Part B: The table below shows the price g(m), in dollars, of fuel B after m months:



m (number of months) 1 2 3 4

g(m) (price in dollars)3.44 3.30 3.17 3.04



Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.

Answers

Answer 1

Answer:

  A. decreasing 12% per month

  B. fuel A recorded the greater change

Step-by-step explanation:

Given an equation and a table of values, you want to compare the rates of change each represents.

A.

The fuel price is described by ...

  f(x) = 2.27(0.88^x)

We recognize this exponential equation to be of the form ...

  f(x) = (initial value) × (growth factor)^x

Comparing parts of the equation, we see ...

  growth factor = 0.88

The relation between growth factor and growth rate is ...

  growth factor = 1 + growth rate

  growth rate = growth factor - 1 = 0.88 -1 = -0.12 = -12%

This tells us the rate of change in fuel price is -12% per month.

B.

To find the percentage change, we can use the formula ...

  percent change = ((new value) / (old value) -1) × 100%

Applied to the first two table values, we have ...

  percent change = (3.30/3.44 -1) × 100% ≈ -4.07%

This decrease of 4.07% is less than the decrease of 12% represented by the equation. Type A fuel recorded the greater percentage change.


Related Questions

Given m n, find the value of x and y.

Answers

I believe X is equal to 140 since it is congruent, and why is equal to 40 because 180 which is a line - 140 is 40; thus with the addition of 40 onto 140, it all creates a straight parallel line. :) m||n

The value of x and y from the given parallel lines are 140° and 40° respectively.

Given that, straight line m parallel to straight line n and t is the transversal.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

Here, y°+140°=180° (Adjacent angles on straight line)

y°=40°

y°+z°=180° (Allied angles adds upto 180°)

40°+z°=180°

z°=140°

Now, x=140° (Vertically opposite angles are equal)

Therefore, the value of x and y from the given parallel lines are 140° and 40° respectively.

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A side of the triangle below has been extended to form an exterior angle of 128. Find the value of x.

Answers

Answer:

52°

Step-by-step explanation:

Linear pair: If the non-common arms of two adjacent angles from a line, then they are called linear pair and they add up to 180.

x + 128 = 180   {linear pair}

       x   = 180 - 128

       x = 52°

Solve for x:
8x – 10 = 4x –30

Answers

Answer:

X=-5

Step-by-step explanation:

Answer:

x = −5

Step-by-step explanation:

8x – 10 = 4x –30

-4x           -4x

4x - 10 = -30

    +10    +10

4x = -20

/4      /4

x = -5

Norman makes $15 commission for selling $200 in merchandise. He makes $37.50 commission for selling $500 in merchandise. Assuming that the variables are directly related and Norman wants to make $150 in commission, what is the total value of merchandise he needs to sell?

$335.00
$612.50
$2,000.00
$5,000.00

Answers

I believe that the answer is C) 2000. 150/15= 10•200=2,000 I hope this helps!!!!
The answer is 2,000.00 because if he makes $15 for selling 200 and wants to make 150 you have to times it by 10 and you’ll get the answer

Which is the equation of a line that has a slope of 1/2 and passes through point (-2,3)

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

Guys anyone please help . Please explain how to solve these questions it gives the answers but I need expiation (Calculus) ,I’ll give brainliest for the correct answer ! Pleasseee

Answers

9514 1404 393

Answer:

  (ii) center: (-3, 6)

  (iii) A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)

  (iv) (x +3)²/100 +(y -6)²/51 = 1

Step-by-step explanation:

(ii) The center is the midpoint between the foci:

  center = ((-10, 6) +(4, 6))/2 = (-10+4, 6+6)/2

  center = (-3, 6)

__

(iii) The vertices are the center plus or minus the semi-major axis length in the x-direction: (-3±10, 6).

The semi-minor axis length is the root of the difference of squares of the semi-major axis and the center-focus distance:

  semi-minor axis = √(10² -7²)

  semi-minor axis = √51

So, the co-vertices are the center plus or minus this value in the y-direction: (-3, 6±√51)

Using the labeling in the drawing the various points are ...

  A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)

__

(iv) For center (h, k) and semi-axis lengths 'a' and 'b' the equation of an ellipse is ...

  (x -h)²/a² +(y -k)²/b² = 1

For the center and axes here, the equation is ...

  (x +3)²/100 +(y -6)²/51 = 1

what is the discriminant of the polynomial below 4x^2 +4x + 1

Answers

The value of the discriminant of the given quadratic equation is 0.

What is a Discriminant?

The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.

D = b² - 4ac,

If the value of the discriminant is greater than zero then the roots of the equation are real and distinct,If the value of the discriminant is equal to zero then the roots of the equation are real and same, andIf the value of the discriminant is less than zero then the roots of the equation are imaginary.

Given the quadratic equation 4x² +4x + 1, if this equation is compared with the general quadratic equation. Then the value of the variables can be written as,

a = 4

b = 4

c = 1

Now, the value of the discriminant of the equation can be written as,

D = b² - 4ac

   = (4)² - 4(4)(1)

   = 16 - 16

   = 0

Hence, the value of the discriminant of the given quadratic equation is 0.

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Which expression is a sum of a number and a product? O A. 2(x-9) O B. 6x- 4 O c. 4+ 2x O D.​

Answers

Answer:

Step-by-step explanation:

Option C is the correct answer

I need help please with this math problem I’ve been having a really hard time trying to figure it out

Answers

Answer:

The height of the tree would be 30 ft.

Step-by-step explanation:

This is because the smaller triangle would be 6/12 and the bigger triangle would be x/60. When you cross multiply these you find that x is 30.

Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.

Answers

The wrench having the size as 5/8inch will accommodate the largest bolt.

When the denominator of all the fractions is same , then the fraction with largest numerator is the largest .

For Example : in 2/9 and 7/9   , the largest is 7/9.

In the given question  

the different sizes of wrenches are 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.

For comparison , first make the denominator equal

To make the denominator equal , take LCM of denominator

LCM of 2,16,8,32 is 32.

so in 1/2  multiplying the denominator and numerator by 16 we get

1/2 inches as 16/32inches    ...(i)

In 7/16  multiplying the denominator and numerator by 2 we get

7/16 inches as 14/32 inches     ...(ii)

In 5/8  multiplying the denominator and numerator by 4 we get

5/8inches as 20/32 inches    ...(iii)

Writing all sizes of wrenches with same denominator

{16/32 , 14/32 , 20/32 , 15/32 }

Rearranging in descending order we get ,

{20/32 > 16/32 > 15/32 > 14/32}  

Which means {5/8 > 1/2 > 15/32 > 7/16}    ...(from (i),(ii)&(iii)  )

Therefore , the wrench having the size as 5/8 inch will accommodate the largest bolt. the correct option is (c)5/8inch .

The given question is incomplete , the complete question is

Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch. Which size of wrench accommodates the largest bolt?

(a)1/2 inch

(b)7/16 inch

(c)5/8 inch

(d)15/32 inch

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P, Q, R, S, and T are on line k such that Q is the midpoint of PT, R is the midpoint of QT, and Sis
the midpoint of RT. If PS= 9, then what is PT?

Answers

The length of the line segment PT is 72 / 7.  

What is the length of a given line segment?

In this problem we have the case of five colinear points, that is, points lying on a line, where the following conditions are fulfilled:

PT = 2 · PQ = 2 · QT        (Q is the midpoint of PT)              (1)

QT = 2 · PR = 2 · RT          (R is the midpoint of QT)            (2)

RT = 2 · RS = 2 · ST          (S is the midpoint RT)                  (3)

PS = 9                                                                                     (4)

PT = PS + ST                                                                          (5)

By (4) and (3) in (5):

PT = 9 + RT / 2                    (5b)

(1) in (5b):

2 · QT = 9 + RT / 2              (5c)

(2) in (5c):

4 · RT = 9 + RT / 2    

(7 / 2) · RT = 9

RT = 18 / 7

By (5b):

PT = 9 + 18 / 14

PT = 9 + 9 / 7

PT = 72 / 7

The length of the line segment PT is 72 / 7.    

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During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?​

Answers

The answer to the question is (929)

Answer: 1,176

Step-by-step explanation:

10 M 4 3 N 2 o 0 0 2 -5 3 0 - Angle MNO is rotated 180 degrees counterclockwise about the origin to form angle M'N'O'. Which statement shows the measure of angle M'N'O? (4 points)​

Answers

This looks pretty good so the angle of it rotated so it makes it a 160 degrees so the sources

A rectangular piece of cardboard measures 16 cm by 13 cm. What is the perimeter of the piece of cardboard?

Answers

Answer:

fifty eight centimeters I believe

Answer:

58cm

Step-by-step explanation:

a rectangle has two of the same sides so 16×2=32

and

13×2=26

so

32+26=58

p l e a s e a n s w e r t h i s q u e s t i o n NOW

Answers

Answer:

90 percent

Step-by-step explanation:

easy 36/40=0.9

that means 90 percent

just get big number divided by small

Brainliest Please

Answer:

90%

Step-by-step explanation:

36/40 = 9/109/10 = 90/100 90/100 = 90%

I hope this helps!

4/5 + 3/15 - 2/3 please

Answers

Answer:

1/3

Step-by-step explanation:

4/5 + 3/15

We first find a common denominator which will be 15.

Multiplying the top and bottom of 4/5, we have 12/15

12/15 + 3/15 = 15/15 = 1

1 - 2/3 is 1/3

Jenna's class brought in 40 pieces of fruit for a celebration and 18 pieces of fruit were eaten. What percentage of the fruit was NOT eaten?

Answers

Answer:

e

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

40 - 18 = 22

22/40= 55%

Hope this helps!      :3

plz mark as brainliest!

1. Introduction to frequency distributions Which of the following phrases correctly complete the sentence “A frequency distribution....”? Check all that apply. is a graphical presentation of original data in a histogram. is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence. is used to display summary statistics such as means and standard deviations. is often a first step of organizing the data into a logical order. You are assigned to a study group of eight students. As a “getting to know you” exercise, you each identify the season of your birth. The following are the responses of the students in your group: fall winter spring summer fall winter spring fall Organize the responses by completing the following frequency distribution table: Frequency Distribution Table for Birth Season Birth Season Number of Students Spring Summer Fall Winter

Answers

A frequency distribution is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence and is often a first step of organizing the data into a logical order. .

How to determine the correct definition of the frequency distribution?

As a general rule:

A frequency distribution is in form of a tableIt is used to organize data in logical order or in groups

An example of a frequency table is

Commute time   Frequency

1 - 15                        10

16 - 30                      18

31 - 45                        11

46 - 60                        5

61 - 75                        0

76 - 90                        1

By comparing the above highlights to the given definitions, we have the correct options to be:

A distribution in which the values of the variable are tabled or plotted against their frequency of occurrenceIt is often a first step of organizing the data into a logical order.

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what is 28 divided by 4?

Answers

The answer is seven.

Answer: 7

Step-by-step explanation:

7•4=28 therefor 28\4= 7

Use the diagram to complete these statements. If m26 = 50°, then m2 = 50° If m 25 = 70°, then m = 70 What is the measure of 22?
m2 2 =​

Answers

Answer: 1,3,60°

Step-by-step explanation:

What is y = − 3/10 x − 8 written in standard form?

Answers

Answer:

3x + 10 y = -80

Step-by-step explanation:

We are given the equation y = −3/10x − 8  and we want to write it in standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.

The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.

So, to start, we can add 3/10x to both sides.

y = -3/10x - 8

+3/10x +3/10x

_______________

3/10x + y = - 8

Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).

So, we need to clear the fraction.

Multiply both sides by 10.

10(3/10x + y) = 10(-8)
3x + 10y = -80

Please help me explain this

Rewrite a number in a base other than ten

Add two or three numbers in a base other than ten

Subtract two numbers in a base other than ten

Why do we learn to work with numbers in different bases?

Answers

Explanation:

You want a tutorial and a rationale for writing numbers and doing arithmetic in bases other than 10.

A. Rewrite a number

For integers, an easy way to write a number in a different base is to repeatedly divide by the desired base, and list the remainders right to left.

Example 1: convert 67 to base 3:

67÷3 = 22 r 122÷3 = 7 r 17÷3 = 2 r 12÷3 = 0 r 2

67₁₀ = 2111₃

Example 2: convert 44 to base 3:

44÷3 = 14 r 214÷3 = 4 r 24÷3 = 1 r 11÷3 = 0 r 1

44₁₀ = 1122₃

B. Add two numbers

The usual rules of addition apply. A sum of two digits that equals or exceeds the value of the base causes a carry to the next digit to the left. (It can be convenient to write the carries on a separate line.)

In the first attachment, the sum of the two numbers above is developed in base 3. The relevant addition facts for base 3 are ...

1+1 = 21+2 = 102+2 = 11

Of course, zero (0) is still the additive identity element.

C. Subtract two numbers

The usual rules of subtraction apply. When a larger digit is subtracted from a smaller one, a "borrow" is indicated from the digit immediately to the left. The relevant subtraction facts for base 3 are ...

0 - 2 = 1 (borrow 1)0 - 1 = 2 (borrow 1)1 - 2 = 2 (borrow 1)1 - 1 = 02 - 2 = 02 - 1 = 1

Example: 67 -44 = 23, done in base 3

For subtraction of a smaller number from a larger one, it can work well to do the computation left to right:

  2111 -1122 = ...

4th digit: 2 - 1 = 1

3rd digit: 1 - 1 = 0

2nd digit: 1 - 2 = 2 (borrow 1 from 3rd digit: 0 - 1 = 2, borrow 1 from 4th digit: 1 - 1 = 0). The difference is now 0 2 2 x

1st digit: 1 - 2 = 2 (borrow 1 from 2nd digit: 2 - 1 = 1). The difference is now ...

  2111 -1122 = 0212, done in base 3

D. Rationale

Consider the expanded forms of the sum and difference numbers in base 3:

  11010₃ = 1×3⁴ +1×3³ +0×3² +1×3¹ +0×3⁰ = 81 +27 +3 = 111₁₀   (67+44=111)

  212₃ = 2×3² +1×3¹ +2×3⁰ = 18 +3 +2 = 23₁₀   (67-44=23)

These forms clearly show the place value of a digit position is given by the corresponding power of the number base. You see this when you write base-10 numbers in expanded form. The point is driven home by working with numbers in other bases.

In short, working with numbers in other bases gives you a better understanding of place value.

__

Additional comment

Fractions can be converted to a different base by multiplying the fraction by the base, then using the integer digit as the next digit to the right.

Consider 5/9 in base 3:

5/9 × 3 = 1 2/32/3 × 3 = 2

Then 5/9 in base 3 is 0.12

As with base 10, any fraction that cannot be written using a power of the base as its denominator will have a repeating fractional part. For example, ...

  1/10 = 0.00220022...(4-digit repeat) in base 3

Find the difference. 862 - 316.87

Answers

Answer: 545.13

Step-by-step explanation:

Answer:

the first one is a whole number and the other one is a decimal number

thank me later

Step-by-step explanation:

Which of the following are not polynomials?

Answers

Aaaaaaaaaaaaaaaa and bbbbbbbbbbbbbbb

Answer:

A

C

and
D

Step-by-step explanation:

Below is the table of values of a function. Write the output when the input is n.
input 5 6 8 n
Output 2 3 5
What’s is the last output?

Answers

7 and the n would be 10

Two bags contain coloured cubes.
Bag 1 has 2 green cubes and 1 yellow cube.
Bag 2 has 3 green cubes and 1 yellow cube.
Determine each probability if you choose 2 cubes from Bag 1 without returning the first cube and 1 cube from Bag 2. What's the probability of getting all three cubes are the same colour.

Answers

The required probability would be 0.57, representing getting all three cubes are the same color.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Bag 1 contains 1 yellow and 2 green cubes.

Bag 2 contains 1 yellow and 3 green cubes.

Seven cubes total would be present.

You select one cube from Bag 2 and two cubes from Bag 1 without returning the first cube.

As per the condition,

So the probability of getting all three cubes are the same color would be

⇒ (³c₂ × ⁴c₁) / ⁷c₂

⇒ (3 × 4) / 21

⇒ 12 / 21

⇒ 0.57

Therefore, the probability would be 0.57, representing getting all three cubes are the same color.

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Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?

Answers

Answer:

The graph shows no trend.

Step-by-step explanation:

See attachment for given graph

Required

What is true about the graph?

From the attached graph, the following points can be deduced:

The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreases

Because of the highlighted points, it is safe to conclude that the graph shows no trend.

Answer:

D

Step-by-step explanation:

Which one is the answer

Answers

Answer:

i think it should be option C.......

Option C looks correct but I can’t see D

Any know the answer to this?
f(x) =0x+5

Answers

Y=0x+5 this is the answer

HELLLLLPPPP MEEEE

Solve for x in the following problem Remember to align your variables.
5x + 2y = 12

-3x = 10 + 2y

Answers

X=11 because u Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

x= [tex]\frac{12}{5}[/tex]-[tex]\frac{2y}{5}[/tex]

x=[tex]-\frac{10}{3}[/tex]-[tex]\frac{2y}{3}[/tex]

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