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) = 2.15(0.98)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) 4.19 3.98 3.78 3.59

Answers

Answer 1

A rise or a decline may be represented by an exponential function in either direction.

The cost of gasoline type A is becoming higher.The price of Fuel B saw a larger percentage increase than any other fuel.

This is further explained below.

What is an exponential function?

A)

The exponential function is represented as follows for fuel A:

f(x)=2.96(1.04)^x

A representation of an exponential function looks like this:

y=a b^x

Where b is the rate being calculated.

b=1.04

Since b (which is equivalent to 1.04) is bigger than 1, it follows that the price of gasoline A is going up.

B)

A representation of an exponential function may be seen in the table.

To get the cost of gasoline type B, just divide the current price by the price that was in effect just a moment ago.

Therefore, we have:

[tex]\begin{aligned}&b=\frac{3.41}{3.22} \\&b=1.06\end{aligned}[/tex]

1.06 is a higher number than 1.04, by way of comparison (the rate of fuel A).

Consequently, gasoline B had a bigger percentage shift in price than fuel A did.

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Related Questions

16 is a what percen of 200

Answers

Answer:

32

Step-by-step explanation:

What symbol makes -3/4 and -11/12 a true sentence?

Answers

Answer: -3/4>-11/12

Step-by-step explanation:

its a negative so there's more of the -3/4 than the -11/12 because the -11/12 is 2 more units below the -3/4

y + 8 < -9 solve for y please i need help im a smart student i just need a bit of help

Answers

Answer:

the answer is y<-17

Step-by-step explanation:

This is actually just like algebra.

y+8<-9

y<-9-8

y<-17

What’s the answer plss

Answers

The length of the opposite side XY = 15.2cm

How to calculate the opposite side XY?

From the right- triangle XYZ,

[tex]sin \theta =\frac{opposite}{hypotenuse}\\\\sin 61 ^\circ=\frac{XY}{XZ} \\\\XY = sin 61 ^\circ *XZ\\\\XY = 0.875* 17.4 \\\\XY = 15.2cm[/tex]

The length of the opposite side XY = 15.2cm

What is opposite side of a right-triangle?

From a particular angle, the opposite side is across. The legs of a right triangle are its adjacent and opposite sides, together, they make up the triangle. The opposing (shorter) side is the side that is shorter and perpendicular to the angle from which you are observing it.The angle from which we are looking does not include this side.An opposite side in a right triangle is the one that is across from a given angle, while an adjacent side is the one that is next to a given angle and the hypotenuse is the longest side in a right triangle.

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Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much
water as Elena. Lin drank twice as much water as Jada.
1. How much water did Jada drink?
2. How much water did Lin drink?
liters
liters

Answers

Elena: 3 Liters

Jada: 3 x 3/4 = 2.25 Liters

Lin: 2 x 2.25 = 4.5 Liters

8+2x3²
= 8+6²
= 8+36
= 44
What are his mistakes?

Answers

He needs to follow PEMDAS

so it would be
8+2x9
8+18
26

Kara currently makes $12 per hour. If she receives a
50% raise, what is her new rate?
What would a 75% raise be equal to????
K
TO
160
Sign out

Answers

A.50%* $12= $6
$12+$6= $18

B.75%* $12= $9
$12+ $9=$21

May someone please help me! I have to submit this tonight and do not know how to do it or the answer may you please help me thank you!

Answers

Answer is: y= -3/2x + 2

Help with 4.), 5.), 8.), 10.), 12.) ? It due at 8:00, it’s 5:12 rn

Answers

Answer:

see explanation

Step-by-step explanation:

(4)

6 = hj + k ( subtract k from both sides )

6 - k = hj ( isolate j by dividing both sides by h )

[tex]\frac{6-k}{h}[/tex] = j

(5)

[tex]\frac{v}{w}[/tex] = 9 ( multiply both sides by w to clear the fraction )

9w = v ( divide both sides by 9 )

w = [tex]\frac{v}{9}[/tex]

(8)

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

[tex]\frac{2A}{h}[/tex] = b

(10)

V = [tex]\frac{1}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )

3V = πr²h ( isolate h by dividing both sides by πr² )

[tex]\frac{3V}{\pi r^2}[/tex] = h

(12)

V = πr²h ( isolate r² by dividing both sides by πh )

[tex]\frac{V}{\pi h}[/tex] = r² ( take square root of both sides )

[tex]\sqrt{\frac{V}{\pi h} }[/tex] = r

please help ill give uu crown to the first person who is right

Answers

Answer:

No

Step-by-step explanation:

Using a graph typing in 9x and looking at the table, (2,1) is not on the table, so (2,1) is not a solution to 9x

Answer:

No

Step-by-step explanation:

to determine if (2, 1 ) is a solution, substitute the x- coordinate into the equation and if the result is equal to the y- coordinate then it is a solution.

y = 9x ( substitute x = 2 )

y = 9 × 2 = 18 ≠ 1

then (2, 1 ) is not a solution to the equation.

48,384 - 2,904 divided by 48,384 multiplied by 100

Answers

Correct answer is

48377.9980159

20. sarah and gabe are sharing a sheet of stickers. Sara has 2/7 of the sheet. Gabe has 1/4 of the sheet. What fraction of the sheet do sara and gabe have together?

Answers

The answer is 15/28

Explanation:
Based on the given conditions, formulate 2/7+1/4
Expand the fraction to get the least common denominator 2x4/7x4 + 7/4x7
Calculate the product or quotient 8/7x4 + 7/4x7
Calculate the product or quotient 8/28 + 7/4x7
Calculate the product or quotient 8/28+7/28
Write the numerators over common denominator 8+7/28
Calculate the sum or difference 15/28
Convert to fraction 15/28
So the answer is 15/28

Hope that helped!!!!
Sarah have 2/7 and gabe have 1/4
To add two fraction together we should have the same denominator
We have to multiply Sarah’s fraction by 4 and gsbe’s by 7
Sarah:8/28
Gabe: 7/28
8/28+7/28=15/28

What is equivalent to 4x-3y=15

Answers

Answer: y = 4/3 x - 5

Step-by-step explanation: trust me

A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf greek students have in a one week period. We know from preliminary studies that the standard deviation is around 6. 3. How many students should be sampled to be within 0. 5 drink of population mean with 95% probability?.

Answers

Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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The steps at the right show cam's works in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.

Answers

The correct solution to the equation is -13.

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x + 24 (This line have error, instead of + there will be - )

Shifted the values of x to the left-hand side and the constant values to the right-hand side,

3x + 12 = 24

3x = 12

x= 4, which is the incorrect value of x.

The correct solution to the equation,

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x - 24

Shift the values of x to the left-hand side and the constant values to the right-hand side,

3x = -36

The final value of x,

x = -13

Therefore, the value of x is -13.

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Which number is most likely an irrational number?
OA. -33.948826765...
B. 10.600000000...
O C. -6.099999999...
OD. 0.874874874...

Answers

The answer is A because it's a non-recurring decimal.

Convert to a percent: 0.341 A. 0.341% B. 341% C. 3,410% D. 34.1%​

Answers

Answer:

34.1%, D

Step-by-step explanation:

To convert a number into a percent, you multiply it by 1, or more precisely, 100%. 100% can be thought of as 100 * 1%
0.341 * 100 * 1 %   = 34.1%

Answer:

Step-by-step explanat

Evaluate : (12.5)³



find the answer




Answers

Answer:

1953.125

Step-by-step explanation:

(12.5)³

= 12.5 × 12.5 × 12.5

= 1953.125

Answer: 1953.125

(12.5)³

so 12.5 multiplied to itself thrice

12.5x12.5x12.5

which is 1953.125

f(x)= 3x; translation up 5 units

Answers

After applying the given translation we get the function as 3x + 5

Graph translation is the process of converting an equation or existing graph into a new graph.

One common type of algebraic issue is changing algebraic equations.

A parent function's graph is altered by a translation. The three different types of translation are dilations, reflections, and translations.

A function can have its y-values modified vertically or its x-values changed horizontally (affects the x-values).

We are aware that the x- and y-coordinates must be modified to reflect the translation by the specified amount.

f( x ) = 3x is translated 5 units upwards.

Therefore the required graph is f ( x ) = 3x + 5 .

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a textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold. how many textbooks of each type sold?

Answers

Number of biology book sold are 223.

Number of psychology books sold are 183.

What is equation?

In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.

Given Data

A textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold.

Let number of biology books sold be x

Let number of psychology books sold be (x- 48)

Total book sold = 392

392 = x + x - 48

392 + 48 = 2x

446 = 2x

x = 223

Number of biology book sold are 223.

Number of psychology books sold are 183.

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Darlene has 6 3/4 gallons of gasoline. Every time she mows her lawn, she uses 3/8 gallon. How many times can she mow her lawn before she needs more gas?w

Answers

The number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.

As given in the question,

Total gasoline with Darlene is equal to 6 3/4 gallons

Convert mixed fraction into proper fraction:

6 3/4 = 27/4 gallons

Every time amount of gasoline used to mow her lawn = 3/ 8gallon

Number of times Darlene mow her lawn before she needs more gasoline

= (27 / 4) ÷ (3 /8)

= (27 /4) × (8/3)

= 18 times

Therefore, the number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.

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The amounts of e-waste generated in a region during two years were 14,200,000 tons and 10,700,000 tons. What was the total e-waste generated over these two years in the region, expressed in scientific notation? (5 points)

Group of answer choices

2.49 ⋅ 1014 tons

2.49 ⋅ 107 tons

24.9 ⋅ 1014 tons

24.9 ⋅ 107 tons

Answers

The total e-waste generated over these two years in the region, expressed in scientific notation, is B. 2.49 x 10^7 tons.

What is a scientific notation?

Scientific notation is a standard form of expressing a short or large number in a decimal form.

Scientific notation involves writing a number that is greater than 1 but less than 10 with the power of 10.

Correct scientific notations express numbers as products of a number between 1 and 10 multiplied by an appropriate power of 10 based on its place value in the given decimal.

Thus, the total e-waste generated cannot be expressed in scientific notation as Options A, C, or D because these do not comply with the rules of scientific notations, unlike Option B.

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HELP ASAP NEEDS TO BE TURNED IN TONIGHT

Answers

Answer:

y= 2x + 9

Step-by-step explanation:

The answer would be Y = 2x + 9

what is x when 2x + 5 = 15
period ahh period uhh

Answers

Answer:

x=5

Step-by-step explanation:

2x + 5 = 15

2x5=10

5+10=15

Hopes this helps

Answer:

x = 5

Step-by-step explanation:

2x + 5=15       Set up equation

2x= 15-5         Put like terms together

2x= 10            Subtract like terms

x= 10/2           Isolate and divide

x= 5                Answer

The equation for lines can be written as y=–10x+5/4. Parallel to line's is line t, which passes through the point (1,3). What is the equation of line t?

Answers

Step-by-step explanation:

what I understood :

line s : y = -10x + 5/4

the slope is always the factor of x (here : -10).

a parallel lines must have the same slope.

line t : y = -10x + b

to get b we use the coordinates of the given point :

3 = -10×1 + b = -10 + b

13 = b

line t : y = -10x + 13

Marc usually rides his bike to school. He leaves his house and
goes east to the park and then turns south and continues until he
reaches school. How many blocks does he ride to get to school?

Answers

Answer:2 blocks

Step-by-step explanation:

because  just trust me

(2x - y)² =

(3x-1)(3x+5)=

Please help simplify both problems !

Answers

Answer: 4x^2 - 4xy + y^2 and the second one 9x^2 + 12x - 5

I hope this helps

slope -4; passes through (2, 3)

Answers

Answer: y = -4x + 11

Step-by-step explanation:

y = mx + b

3 = -4(2) + b

3 = -8 + b

11 = b

Graph the image of the figure using the transformation given.

Answers

A graph of the image of figure Q'R'S'T' after a dilation of 2 units about the origin is: graph C.

What is dilation?

Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

What is scale factor?

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as triangles.

Note: Each interval on this graph represents 1 unit.

For the given coordinates, the dilation with a scale factor of 2 about the origin or a center of dilation (0, 0) should be calculated as follows:

Point Q (-2, -1) → Point Q' (-2 × 2, -1 × 2) = Point Q' (-4, -2).

Point R (-1, 2) → Point R' (-1 × 2, 2 × 2) = Point R' (-2, 4).

Point S (1, 0) → Point S' (1 × 2, 0 × 2) = Point S' (2, 0).

Point T (2, -2) → Point T' (2 × 2, -2 × 2) = Point T' (4, -4).

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What integer would represent a withdrawal of $170?

Answers

Answer:

-170

Step-by-step explanation:

we are withdrawing so minus from original amount

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