Two year ago ernest dorsey purchased a used sports coupe for 8000.00 that is now worth 6000.00 last year he drove it 13569 miles and kept a record od all expenses. His variable costs were gasoline $1589.56 oil changes $245.98 and repairs $548.11 his fix costs were insurance $1105.32 and license $85 find de cost per mile

The correct strategy between Pedro and Rebecca trying to solve the quadratic equation: 0.1x^2 - 0.7x + 1.2 = 0 is A - Only Pedro's

The given function is a quadratic function which is solved by several method including the method both Pedro and Rebecca are trying to use

Pedro's method is the factorization method and the steps mentioned are correct

However Rebecca's method has some error

The equation is: 0.1x^2 - 0.7x + 1.2 = 0

factor of the leading coefficient a is 0.1, Rebecca is using 0.11

The error of using 0.11 instead of 0.1 will make the method ineffective

Learn more about quadratic equations here:

https://brainly.com/question/29116024

#SPJ1

When is a standard normal random variable, the probability of P(–1.20 ≤ z ≤ 1.50) is 0.8181.

The probability illustrates the likelihood of events.

From the information, it's important to note that P(–1.20 ≤ z ≤ 1.50) will be:

= P(Z ≤ 1.50) - P(Z ≤ -1.20)

= P(Z ≤ 1.50) - [1 - P(Z ≤ -1.20)]

It should be noted that by using the normal z table, the probability of the corresponding z score will be 0.9332 and 0.8849.

This will be:

= 0.9332 - (1 - 0.8849)

= 0.8181

Therefore, the probability is 0.8181.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

The 220 cm (2.2 m) perimeter of the tiles and the 9.6 meter side length of the square floor gives equations with the following solutions;

(a) The dimensions of the tiles are;

Width = 0.3 meters

Length = 0.8 meters

(b) 384 tiles are needed

(c) The fitting cost of the tiles is Kshs 51,000

An equation is a mathematical statement that consists of two expressions connected with an equals sign

Shape of the floor = Square

Shape of the tiles = Rectangular

Perimeter of the tiles = 220 cm = 2.2 m

The number of tiles in each row =  20 + The number of tiles in each column

Length of the floor = 9.6 m

(a) Let w represent the width of the tiles, the length l is found using the equation;

[tex]l = \dfrac{2.2 - 2\cdot x}{2} = 1.1 - x[/tex]

Let n represent the number of tiles in each row, which gives;

The number of tiles in each column = 20 + n

(20+n)·x = n·(1.1 - x)

Which gives;

[tex]x = \dfrac{1.1\cdot n}{2\cdot n+20}[/tex]

The side length of the square floor, s = 9.6

(20+n)·x = n·(1.1 - x) = 9.6

Which gives;

[tex]n\cdot \left(1.1 - \dfrac{1.1\cdot n}{2\cdot n+20}\right) = 9.6[/tex]

Which gives;

0.55·n² - 1.4·n -96 = 0

n = 12 or n ≈ -14.5

The number tiles in each roe, n = 20

Which gives; n·(1.1 - x) = 9.6

20 × (1.1 - x) = 9.6

x = 0.3

The width of each tile, x = 0.3 m

The length of each tiles = 1.1 m - 0.3 m = 0.8 m

(b) The number of tiles in each row, n = 20

The number of tiles in each column = n + 20, which gives;

Number of tiles in each column = 12 + 20 = 32

The number of tiles needed = 12 × 32 = 384

(c) The cost of a dozen tiles = Kshs 1,500

The labour cost = Kshs 3,000

Number of dozens of tiles = 384 ÷ 12 = 32

The cost of the tiles C = Kshs 1500 × 32 = Kshs 48000

The total cost = Kshs 48,000 + Kshs 3,000 = Kshs 51,000

Learn more about writing algebraic equations here:

https://brainly.com/question/4541471

#SPJ1

Answer:

B

Step-by-step explanation:

Combine 2x^2 and 3x^2 to get 5x^2.

Combine x and 2x to get 3x.

Add 3 and 1 to get 4.

Answer:4/5 : 1/3=4/5 x 3/1=12/5

Step-by-step explanation:

Answer:

12/5

Step-by-step explanation:

If you set it in the calculator 4/5 ÷ 1/3 you get = 12/5

was it helpful?

The two equations combined is

Eliminating one variable gives

the variables are

The equation formed is a consistent independent set of equation with two variables solved by elimination method as follows

Elimination of one of the variable

3x + y = 20      (1)

10x + y = 55     (2)

subtracting (1) from (2)

10x - 3x + y - y = 55 - 20

7x + 0 = 35

7x = 35

x = 5

substituting to find y

3x + y = 20

3 * 5 + y = 20

15 + y = 20

y = 20 - 15

y = 5

Learn more about simultaneous equation here:

https://brainly.com/question/12647791

#SPJ1

P(A∪B)=24/35 when A and B are independent and P(A)=2/5,P(B)=2/7

Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 signifying impossibility and 1 expressing certainty. The greater the likelihood of an occurrence, the more likely it will occur.

Probability theory, which is widely used in domains such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these concepts axiomatic mathematical formalization.

Given,

P(A)=2/5

P(A)=2/7

P(A∪B)=?

And also given that A and B are independent then,

P(A∩B)=0

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=(2/5)+(2/7)-0

P(A∪B)=(14+10)/35

P(A∪B)=24/35

Therefore, P(A∪B)=24/35 when A and B are independent.

To know more about probability, visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

Alessa's car would be able to drive 337.5 miles with 15 gallons of gas.

The equation of the sentence, the square of a number is equal to the square root of that number, is [tex]x^{2} =\sqrt{x}[/tex].

According to the question,

We have the following information:

The square of a number is equal to the square root of that number.

Now, let's take this number to be x.

Now, square of this number will be [tex]x^{2}[/tex] and the square root of this number will be [tex]\sqrt{x}[/tex].

Now, according to the sentence, we will have the following expression:

[tex]x^{2} =\sqrt{x}[/tex]

Hence, the equation of the sentence, the square of a number is equal to the square root of that number, is [tex]x^{2} =\sqrt{x}[/tex].

To know more about equation here

https://brainly.com/question/23384508

#SPJ1

Answer:

[tex]-1.35[/tex] is bigger (larger)

Step-by-step explanation:

[tex]-1\frac{4}{9}=-1.\overline{44}[/tex]

Therefore, because [tex]-1.35[/tex] is less negative than [tex]-1.\overline{44}[/tex],

[tex]-1.35[/tex] is bigger (larger).

The value of x=0.301 at the x the graph of the function have a horizontal tangent.

Given that,

The function is f(x)=eˣ-2x

We have to find the value of x does the graph of the function have a horizontal tangent.

Where the derivative of a function is zero, a graph's horizontal tangent line is a mathematical feature. This is so that the derivative, by definition, can provide the slope of the tangent line. The slope of horizontal lines is zero. As a result, when the derivative is zero, the tangent line is horizontal.

For horizontal tangent line,

f'(x)=0

The differentiation of the function is

eˣ-2=0

eˣ=2

Taking logarithm on both sides.

logeˣ=log2

We know that loge=1

So,

x loge=log2

x(1)=log2

x=log2

x=0.301

Therefore, the value of x=0.301 at the x the graph of the function have a horizontal tangent.

To learn more about horizontal visit: https://brainly.com/question/9083871

#SPJ13

The maximum number of guests that can fill all the standard rooms is twice the number of the standard rooms

Information from the question

each standard room can fill 2 guests

the maximum number of guests that all standard rooms can accommodate = ?

The problem is solved by multiplication

each standard room (1) = 2 guests

all standard rooms = ?

cross multiplying

? * 1 = 2 * all standard rooms

? = all standard rooms times two

Learn more about multiplication here:

https://brainly.com/question/29420909

#SPJ1

The ratio of 6 cups of sugar to pie that Quinn needs to make 12 potato pies will be 6 cups.

Ratio basically compares quantities, that shows value of one quantity with respect to other quantity.

If a and b are two values, there ratio will be a:b.

Given that,

For 3 potato pies required sugar is 3/2,

For 5 potato pies required sugar is 5/2,

for 9 potato pies required sugar is 9/2,

From the given information,

For 1 potato pies required sugar is 1/2

⇒For 12 potato pies required sugar=12×1/2=6

To make 12 potato pies,  required sugar will be 6.

To learn more on Ratio :

https://brainly.com/question/13419413

#SPJ1

Answer:

[tex]y-7=-\frac{4}{3}(x+7)[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{-9-7}{5-(-7)}=-\frac{4}{3}[/tex].

The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex], so the equation is [tex]y-7=-\frac{4}{3}(x+7)[/tex].

48.4 % percent of all rodents on the ship preferred peanut butter.

acc to our question-

hence,48.4 % percent of all rodents on the ship preferred peanut butter.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ13

Using the monthly payment formula, it is found that:

A. You can afford a car at a price of $13,742.36.

B. The monthly payments are of $109.15.

The monthly payments are given by the equation presented as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

The variables involved in the equation are listed and explained as follows:

For item a, the parameters are given as follows:

A = 250, r/12 = 0.035/12 = 0.002917, n = 5 x 12 = 60

Hence the maximum value of the car is obtained as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]250 = P\frac{0.002917(1.002917)^{60}}{(1.002917)^{60} - 1}[/tex]

0.0181919241P = 250

P = 250/0.0181919241

P = $13,742.36

For item b, the parameters are given as follows:

P = 6000, r/12 = 0.035/12 = 0.002917, n = 5 x 12 = 60

(P = 6000 as the 2000 of the down payment are already paid, hence not subjected to interest).

Hence the monthly payments are given as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 6000\frac{0.002917(1.002917)^{60}}{(1.002917)^{60} - 1}[/tex]

A = 6000 x 0.0181919241

A = $109.15.

More can be learned about the monthly payment formula at https://brainly.com/question/26011426

#SPJ1

Answer:

y=7

Step-by-step explanation:

-3(-3)-y=2

9-y=2

9-2=y

y=7

Please mark as brainliest

The expected mean for a sample of 150 women is 168.5 pounds.

Expected mean can be defined as the mean weight of a number . Based on the given data we were told that the mean weight of the us women was 168.5 pounds which implies that the expected mean is 168.5 pounds.

The formula for expected mean is :

E ( X ) = μ = ∑ x P ( x )

Where:

x = values of the random variable X

P(x) = Corresponding probability

∑ =Sum of all products xP(x)

μ = mean

Therefore the expected mean is 168.5 pounds.

Learn more about expected mean here: https://brainly.com/question/10675141

#SPJ1

Answer: 667

Step-by-step explanation:

14.50 x 46

Answer:

80

Step-by-step explanation:

x/ -4 = -20

I hope this helps!

The meaning of the expression x + 4 as required in the task content is; "four more than the number of questions on test".

It follows from the task content that the word phrase which best represent the algebraic expression; x + 4 is to be determined.

Given; x = the number of questions on test.

It therefore follows that the algebraic expression x + 4 can be interpreted as; "four more than the number of questions on test".

Hence, the meaning of the expression is; "four more than the number of questions on test".

PS: Just like word phrases can be accurately represented by algebraic expressions, the latter can be represented by the former too.

Read more on algebraic expressions from word phrases;

https://brainly.com/question/28345080

#SPJ1

Answer:

1. I'm $3 in debt, and I spend 4 more dollars. I am now 4 dollars more in debt than I was before.

2. I'm $3 in debt, and I pay back $2 of debt. I am now $1 in debt.

Step-by-step explanation:

-Hope this helped

Answer: The answer is 0.16638935108

Step-by-step explanation:

Answer:

23/5 > (sqrt(18)

Step-by-step explanation:

there are many ways you could go about this,

I subtracted (sqrt(18)) from (23/5) and because the answer i got was greater than 0, 23/5 must be bigger than sqrt18

The Probability of P(B│A) is 0.77

Independent events are those events whose occurrence is independent on any other event. For example, if we flip a coin in the air and get the outcome as tail, then again if we flip the coin but this time we get the outcome as Head, In both cases, the occurrence of both events is independent of each other. It is a type of events in probability.

If A is the event that even number will appear when a die is rolled and B is when 4 or 6 appears

P(A)= 3/6 = 1/2 and P(B) = 2/6 = 1/3

Also A and B is the event ‘the number appearing is even and a multiple of 4 or 6 so that

P(A ∩ B) = 1/6

P(B│A) = P(A ∩ B)/ P(A)

= 1/6 /1/2= 1/3 = P(B)

Therefore P(B│A) = P(B)

if A= 0.15 and P(B)= 0.77

P(B│A) = 0.77

learn more about independent event from

https://brainly.com/question/14106549

#SPJ1

Answer:

yes if b is odd then b+6 is odd

Step-by-step explanation:

example

consider a odd number 1,3,5,7,and 9

1+6=7

3+6=9

5+6=11

7+6=13

9+6=15

all answers are odd number

If a claim will be made against such a policy and an average claim of $4900. the insurance company should make on average off of each policy holder is $683.5.

Using this formula to find the amount

Amount = [Percentage claim × ( Base price - Average claim)] + [(1 - percentage claim) × Base price]

Let plug in the formula

Amount = [0.085 × ($1,100 - $4,900)] + [(1-0.085) × $1,100]

Amount = [0.085 ×  (- $3,800)] + [(0.915 × $1,100]

Amount = -$325+ $1,006.5

Amount = $683.5

Therefore the insurance company will make the amount of $683.5.

Learn more about insurance here:https://brainly.com/question/25855858

#SPJ1

When only 17 posters have been printed, it will cost $ 5. 46to print 143 more.

A mathematical formula known as a cost function is used to visualise how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.

The following equation, C'(x)=x-3/4, tells us the marginal cost (in dollars) of printing a poster after x posters have been printed.

The given equation is :C'(x)=x-3/4

The cost of printing 133 more posters when 17 have already been printed is given by;

applying the limitations we obtain and integrating both sides of the equation;

[tex]$$\int_a^b C^{\prime}(x) d x=\int_{17}^{133} x^{\frac{-3}{4}} d x$$[/tex]

As we know that [tex]$\int x^n d x=\frac{x^{n+1}}{n+1}$[/tex], so;

[tex]$&=4\left[x^{\frac{1}{4}}\right]_{17}^{133} \\[/tex]

[tex]$&=4\left[(133)^{\frac{1}{4}}-(17)^{\frac{1}{4}}\right] \\[/tex]

= $ 5.4616

Therefore When only 17 posters have been printed, it will cost $ 5. 46to print 143 more.

To learn more about  cost refer to:

https://brainly.com/question/2292799

#SPJ1

When the the light's angle is 20° from perpendicular to the wall, and the light is rotating at an angular speed of one rotation in 2 seconds the rate the light projected onto the wall is moving is approximately 60.48 feet/s

Angular speed, ω, is the angle, θ, in radians rotated by a rotating object per second. The unit of angular speed is radians per second, rad/s.

Mathematically;

[tex]\omega = \dfrac{\Delta \theta}{\Delta t}[/tex]

Where;

Δt = The time the object rotates through an angle of Δθ

The distance of the light from the wall, x = 17 feet

Time it takes the light to complete one rotation = 2 seconds

Angle the light makes with the perpendicular wall = 20°

[tex]tan(\theta) = \dfrac{y}{x}[/tex]

The distance the light has moved along the wall, y = x × tan(θ)

Therefore;

The y = 17 × tan(θ)

The angular velocity of the light, ω = θ/t

Therefore, θ = ω × t = ω·t

Which gives; y = 17 × tan(ω·t)

[tex]\omega = \dfrac{2\cdot \pi}{2}\ rad/s = \pi \ rad/s[/tex]

Therefore; x = 17 × tan(·t)

[tex]\dfrac{dy}{dt} = \dfrac{d}{dt} \left(17\times tan(\omega\cdot t)\right) = 17\cdot \omega\cdot sec^2(\omega \cdot t)[/tex]

ω = π rad/s (constant)

ω·t = θ

Therefore;

[tex]\dfrac{dy}{dt}= 17\cdot \omega\cdot sec^2(\theta)[/tex]

Rate the light is moving along the wall, dy/dt when θ = 20°, is therefore;

[tex]\dfrac{dy}{dt}= 17\times \pi\cdot sec^2(20^{\circ}) \approx 60.48[/tex]

Learn more about angular or rotational speed here:

https://brainly.com/question/13014974

#SPJ1