Felipe calculated that he uses about 545 gallons of fuel each year. His car's owner's manual says that it is approved to use regular fuel. How much money can he save each year by switching from premium fuel, at $4.59 per gallon, to regular fuel at $4.18 per gallon?

$0.41

$2,501.55

$223.45

$2,278.10

$4,779.65

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer:

y = -7

Step-by-step explanation:

To find the y-intercept, you need to plug the coordinates into the equation.

y = 0x + b

-7 = 0(5) + b

-7 = b  

Answer:

b is the correct answer

Step-by-step explanation:

hope this helps

Answer:

12285

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

[tex]OA = 2x + 9y[/tex]

[tex]OB = 4x + 8y[/tex]

[tex]CD = 4x - 2y[/tex]

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

[tex]AB = (c - a)x + (d - b)y[/tex]

Where:

[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]

[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]

This implies that:

[tex]a =2[/tex]      [tex]b = 9[/tex]     [tex]c = 4[/tex]   [tex]d = 8[/tex]  

So:

[tex]AB = (c - a)x + (d - b)y[/tex]

[tex]AB = (4 - 2)x + (8 - 9)y[/tex]

[tex]AB = 2x -y[/tex]

So, we have:

[tex]AB = 2x -y[/tex]

[tex]CD = 4x - 2y[/tex]

Calculate the slope (m) of [tex]AB\ and\ CD[/tex]

[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]

For AB

[tex]m_1 = \frac{-1}{2}[/tex]

[tex]m_1 = -\frac{1}{2}[/tex]

For CD

[tex]m_2 = \frac{-2}{4}[/tex]

[tex]m_2 = \frac{-1}{2}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

By comparison:

[tex]m_1 = m_2 = -\frac{1}{2}[/tex]

This implies that both lines have the same slope

Answer:

she forgot to multiply the radius by 2 in the formula (B)

Step-by-step explanation:

i got it right :)

Answer:

B.

Step-by-step explanation:

Answer:

A. 48

Step-by-step explanation:

4 + 2(3 + 25 - 6) =

4 + 2(28 - 6) =

4 + 2 x 22 =

4 + 44 =

48

Hope that helps!

Answer:

(4.5, -0.5)

Step-by-step explanation:

dude just use desmos its so much easier :)

Answer:

Not Perpendicular

Step-by-step explanation:

Answer:

Formula for volume = length (L) × width (W) × height (H)

Volume of the stone = 1,440 cm³

Step-by-step explanation:

✔️Formula for the rectangular tank = L*W*H

✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone

✔️Volume of the tank with the stone:

L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)

Volume of the tank with the stone = 30*24*8 = 5,760 cm³

✔️Volume of the tank without the stone:

L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)

Volume of the tank with the stone = 30*24*6 = 4,320 cm³

✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³

Answer:

A and C

Step-by-step explanation:

A is equivalent to the expression because it just expanded the equation more a bit. It's distributed, but not solved. Like 3.2 (4p +8.5) is the same as 3.2 (4p) + 3.2 (8.5) since in both 3.2 is being distributed or multiplied by both numbers.

C is equivalent to the expression because it simplified the expression more. 3.2 times 4p is 12.8p. 3.2 times 8.5 is 27.2. The expression cannot be simplified.

Hope I helped! :)

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

Step-by-step explanation:

The computation of the probability is shown below":

P(x>15.9) is

[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]

Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

We simply applied the above formula

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%

Step-by-Step Explanation:

P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve

Note:

Hope this helps you in the future.

Learn More:

https://brainly.com/question/6305087?referrer=searchResults

Question:

A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answer:

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Step-by-step explanation:

Given

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Required

Determine an expression for the area

Area is calculated as:

[tex]Area = Length *Width[/tex]

[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]

Expand

[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]

Collect like terms

[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Answer:

1 1/2 tons per hour

Step-by-step explanation:

8 1/4 ÷ 5 1/2

Answer:Answer:

f(-2) = 2

f(0) = 3

f (4) = -1

Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is  

⇒ 2(y - 1) = x + 4

⇒ 2y - 2 = x + 4

⇒ 2y = x + 6

⇒  

Again, the equation of the line passing through the points (0,1) and (4,-1) is

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒  

Therefore, the function is defined as

for x ≤ 0 ........... (1) and  

for x > 0 ............ (2)

Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

Step-by-step explanation:

Answer:

Sorry this is late but here:

Domain: real numbers greater than or equal to -3

Range: equal to -4, 2, and 3

Step-by-step explanation:

I just did it on edge :D

Answer:

Step-by-step explanation:

The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.

Answer:

Option A is the next step in the series.

Answer:

Choice number 3

Step-by-step explanation:

Because look at the length of 8 on one side and notice the other side is a little longer

Answer:

Step-by-step explanation:

For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

Answer:

23.04

Step-by-step explanation:

A = a^2

A = 4.8^2

A = 23.04

Have a lovely day! <3

Answer:747

Step-by-step explanation:

Respuesta:

183x + 356y = 3763

Explicación paso a paso:

Dejar :

Número de kilos de papel = x; número de kilos de cartón = y

Kilo de papel = 183; kilo de cartón = 356

Cantidad total ganada = 3763

(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)

(183 * x) + (356 * y) = 3763

183x + 356y = 3763

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Answer:

ab

Step-by-step explanation:

Answer: Not rounded: 39.6 Rounded: 40

Step-by-step explanation: