for three consecutive years the cost of gasoline increased by 9%, 13%, 22%. what was the overall percentage increase of the cost of gasoline during the three year period

Answer:

$0.97

Step-by-step explanation:

Let the cost of a single apple is x and that of single mango is y.

ATQ,

3x+6y=9.15 ....(1)

8x+4y=11.92 ...(2)

Multiply equation (1) by 8 and equation (2) by 3

24x+48y=73.2 ...(3)

24x+12y=35.76  ...(4)

Subtract equation (2) from (1) :

24x+12y-(24x+48y) = 35.76  - 73.2

12y-48y = -37.44

-36y = -37.44

y = $1.04

Put the value of y in equation (1)

3x+6y=9.15

3x+6(1.04) = 9.15

3x = 9.15-6(1.04)

3x = 2.91

x = $0.97

Hence, the cost of single apple is $0.97.

Answer:

n = -3.8

Step-by-step explanation:

Answer:

48.3

Step-by-step explanation:

since b = 9 and c = 4

9 x 4 = 36 and 36 + 12.3 = 48.3

Answer:

c

Step-by-step explanation:

it would have some exponent but its the only one that is constant

Answer:

average of all four is 0.74 (add all 4 then divide by 4). take 0.77 minus 0.74. 0.03/0.77 times 100 = 3.8961% to two decimal places would be 3.90%

Answer:

45

Step-by-step explanation:

Answer:

$116

Step-by-step explanation:

the total discount is 20-15 = 5%

the dicount = (5*120)/100 = $4

So she bought it with price = 120 - 4 = $116

Answer: 8%

Step-by-step explanation:

1. Apply the discount to the original price

20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars

120-24 = 96 (the new price of the shoes, with the coupon applied)

2. Apply the service fee to the discounted price

15% of 96 (0.15*96) = 14.4

This number is the amount of money being added to the discounted price, as it is an additional fee

96 + 14.4 = 110.4

3. Find the percent discount Genna's shoes are using the new price.

1 - (New price/Old price) = Percent discount

110.4/120 = 0.92

1 - 0.92 = 0.08

The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.

Answer:

D

Step-by-step explanation:

Answer:

umm you need help with what

Step-by-step explanation:

there is no question

Step-by-step explanation:

We have,

[tex]f(x) = - 2 \sqrt[3]{x + 7} [/tex]

Taking limit,

[tex] \lim _{x \rarr \infty } f(x) \\ = \lim _{x \rarr \infty } - 2 \sqrt[3]{x + 7} [/tex]

If x approaches to positive infinity,

this implies f(x) approaches to negative infinity

Answer:

It is true

Step-by-step explanation:

Convert to slope-intercept form:

2x-y=6

-y=6-2x

y=-6+2x

y=2x-6

Since y=mx+b is the form we want, then b=-6, making the statement true.

Answer:

true

Step-by-step explanation:

you switch the 2x to the other side to get -y = 2x + 6

then you multiply everything by -1 to get y = -2x-6

-6 is the y int

Answer:

0

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

y=-5x+14 is in the form of y=mx+b.

m is the slope and b is the y-intercept.

So m = -5 and -5 is the slope

Answer:

(a) less than 1 year =0.751488

(b) more than 2 years but less than 4 years = 0.2458

(c) at least 5 years= 0.760331

Step-by-step explanation:

f(t) = 1 λ e−t/λ, [0, [infinity])

First we calculate the probability for an exponential random variable X with parameter λ

P (X= t) = ∫ 1 λ e−t/λ, dt

P (x=t) =  e−t/λ,

λ = 3.5

Now P (X< 1 ) = ∫ 1 λ e−t/λ, dt        [the limits are (-∞ to 1)]

                         = e−1/3.5= 0.751488

P ( 2<X< 4 ) =  ∫ 1 λ e−t/λ, dt         [ the limits are (2 to 4)]

                     =e−2/3.5- e−4/3.5

                  = e-0.57142-e-1.142857  

                  = 0.5647-0.31890

                  = 0.2458

P (at least 5)  = 1- P (x=5)

                   = 1-∫ 1 λ e−t/λ, dt           [ the limits are (∞ to 5)]

                     = 1- e−5/3.5

                     = 1 - e-1.4285

                     = 1-0.239

                        = 0.760331

Answer:

x = 1 and y = 3

Step-by-step explanation:

To use substitution, you want to substitute something for another variable. So lets take the first equation and solve for y

2x - y = -1

2x = y - 1

2x + 1 = y

Now we can substitute 2x + 1 for y in the other equation

3x + 2x + 1 = 6

5x = 5

x = 1

now that we have x, we can get y

2(1) - y = -1

2 - y = -1

2 = y - 1

3 = y

So x = 1 and y = 3

Answer:

x= -1/3

Step-by-step explanation:

I tried my best but this is the anwser I got for my same problem

hope this helps my guy!!!

Answer:

4 and 5 unsolved

Step-by-step explanation:

Answer:17/20

Step-by-step explanation: multiply the denominators by each other and then multiply the numerators by the opposite denominators and then add them both together- 4 x 5=20 1 x 5=5 3 x 4=12

5+12=17

17/20

simplest form

Answer:

f(3) = 4

Step-by-step explanation:

The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.

Thus, based on the function:

f(x)=|x−5|+2

f(3) = |3−5|+2

f(3) = |-2|+2

-Absolute value of -2 = 2-

f(3) = 2+2

Answer: 600 m

Step-by-step explanation:

Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.

To work out the distance in real life, we need to multiply this length by 40,000.

This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.

Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.

Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.

9514 1404 393

Answer:

  a) see the attached spreadsheet (table)

  b) Calculate, for a 10-year horizon; Computate for a longer horizon.

  c) Year 13; no

Step-by-step explanation:

a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.

__

b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.

The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.

__

c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.

Step-by-step explanation:

-3x - 10 > 14

-3x > 24 (add 10 to both sides)

x < -8 (divide by -3, flip inequality sign)

The missing step is -3x > 24.

Answer:

5x-4x+1=2

5x-4x=2-1

x=1ans

Answer:

D. 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠F = 180 - 24 - 34

∠F = 122

∠GFD = 180 - 122

∠GFD = 58°

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

All these translations have predetermined rules that we apply to the figures.

The congruence of a triangle can be obtain through Rotation; Translation; or Reflection.

For this particular strip pattern onto itself, can be obtained by a horizontal translation and a reflection across a vertical line

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ2

Answer:

The correct answer is choice 3

Step-by-step explanation:

80 - 80 = 0

bruh

Answer:the answer would be C

Step-by-step explanation:

Answer:              3 (x-1)

                           ______

                                x

Step-by-step explanation:

so thats 3(x-1) over x

have a good day! :)

plz give me brainliest

Answer:

3

Step-by-step explanation:

F(x)=-3(x-1) find f(0)

F(0) = -3(0-1)

F(0) = -3(-1)

F(0)= 3

Answer:

Her raise per hour is $3.

Step-by-step explanation:

Quadratic Equation

The standard representation of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

It can be solved by using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.

She must solve the equation:

[tex]x^2-6x+9=0[/tex]

The solution to the equation is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]

Since the square root is 0, there is only one solution:

[tex]\displaystyle x=\frac{6}{2}=3[/tex]

x = 3

Thus, her raise per hour is $3.

Answer:

(-1, -2)

Step-by-step explanation:

==================================================

Work Shown:

[tex]\displaystyle \lim_{x \to 3} \frac{f^2(x)-4}{f^2(x)-f(x)-2}\\\\\\\displaystyle \lim_{x \to 3} \frac{(f(x)-2)(f(x)+2)}{(f(x)-2)(f(x)+1)}\\\\\\\displaystyle \lim_{x \to 3} \frac{f(x)+2}{f(x)+1}\\\\\\\displaystyle \frac{f(3)+2}{f(3)+1}\\\\\\\displaystyle \frac{2+2}{2+1}\\\\\\\displaystyle \frac{4}{3}\\\\\\[/tex]

Notes:

In step 2, I used the difference of squares rule to factor the numerator. The denominator can be factored through trial and error. The key here is the f(x)-2 terms that show up in each. Those factors cancel in step 3.

Afterward, we apply the substitution rule, [tex]\displaystyle \lim_{x \to a} f(x) = f(a)[/tex], so basically I plugged in x = 3. Then evaluated f(3) = 2 due to the point (3,2).