on December 1, a 350 gallon oil tank was full. on January 15, it was 1/4 full. how many gallons of fuel were used in that time period?

Charles would like to buy a new car that costs $32 000. The dealership offers to finance the car at 2.4%/a, it's best for Charles loans from the bank to buy car.

Generally, the equation for the monthly loan payment is mathematically given as

[tex]R=\frac{\frac{iP}{N}}{1-(\frac{1}{N})^{NY}}[/tex]

Therefore

[tex]R=\frac{\frac{0.024*32000}{12}}{1-(\frac{0.024}{12}+1)^{-12*5}}[/tex]

R=566.51

Hence the total payment is

T=R*N*Y

T=33990.34

By taking a loan of 29000, and applying the equation

T'=33155.77

In conclusion, it is best for Charles loans from the bank to buy a car.

Read more about loan

https://brainly.com/question/11794123

#SPJ1

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

[tex]7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}[/tex]

Answer:

y = 7x + 6

Step-by-step explanation:

The general equation for a line in slope-intercept form is:

y = mx + b

In this form, "m" is the slope and "b" is the y-intercept. Remember, the y-intercept is the y-value when x = 0. As such, the point (0,6) gives you the y-intercept.

You have been given the slope (7) and the y-intercept (6). Therefore, you can just substitute these values in for their variables to determine the equation of the line.

slope = m = 7

y-intercept = b = 6

y = mx + b

y = 7x + 6

The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3

Option A is the correct answer.

Function are mathematical statement which links an independent variable to dependent variable.

It always comes with a defined domain and range.

The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-4}[/tex]

This function can also be written as

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}[/tex]

Vertical asymptotes are defined when the denominator of a rational function tends to zero.

To find the equation/s let the denominator equal zero.

Denominator tends to zero for x = -2 and x = +2

Horizontal Asymptote is when the function f(x) is tending to zero.

for x = +∞ and x = - ∞

Let the rational function [tex]f(x)= \dfrac{mx^a}{nx^b}[/tex]  where  and a and b are degree of numerator and denominator.

If a < b , then the y axis y = 0 is a horizontal asymptote.

If b = a then horizontal asymptote is the line y = p/q

Here the value is b = 2 and a = 2

Since b = a the horizontal asymptote is the line

y = m/n  where m = 3 and n = 1

Therefore y = 3

So , vertical asymptotes x = - 2, 2

Horizontal asymptotes y = 3

Option A is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

Answer:

A

Step-by-step explanation:

just took the test

The expression is

See

Its distributive property which states that

Option A

The changes in Z would be = 6.1× 10^-4.

Z = Sin (x³ +y³)

Where X = 0.3

y = 0.2

Z= Sin ( 0.3³ + 0.2³)

Z= Sin ( 0.027 + 0.008)

Z= Sin ( 0.035)

Z= 6.1× 10^-4

Therefore, the changes in Z would be = 6.1× 10^-4.

Learn more about multiplication here:

https://brainly.com/question/10873737

#SPJ1

answer send in this photo there is answer any doubt you can ask again

Answer:

A=144cm2,B=33cm2,C=18cm2,D=21.98cm2

Step-by-step explanation:

A=12*12

B=11*3

C=1/2*4*9

D=π*7cm2. (π = 3.14

Answer:

4

Step-by-step explanation:

1 g = 1,000 mg

1,000/250 = 4

The probability of drawing an ace will be 8 / 16575.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

P = [tex]\dfrac{4}{52}\times \dfrac{4}{51}\times\dfrac{4}{50}[/tex]

P = [tex]\dfrac{8 }{ 16575}[/tex]

Therefore the probability of drawing an ace will be 8 / 16575.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

The measures of central tendency for this data set are as follows:

In Mathematics, there are three (3) main measures of central tendency and these include the following:

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: https://brainly.com/question/9550536

#SPJ1

The other factor for the given equation will be ( x - 4 ). The correct option is D.

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

The solution of the given quadratic equation will be:-

x² + 2x - 24 = ( x² + 6x -4x -24 )

                   = [ x( x + 6) - 4 ( x + 6 ) ]

                   = ( x + 6 ) ( x - 4 )

Therefore another factor for the given equation will be ( x - 4 ). The correct option is D.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ1

Explanation:

[tex]\bf point \ slope \ form: y-y_{1}=m\left(x-x_{1}\right)[/tex]

Find the slope:      given points: (-4, 3), (-3, -1)

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Insert values

[tex]\rightarrow \sf slope: \ \dfrac{-1-3}{-3-(-4)} =-4[/tex]

Equation in point slope form:

[tex]\sf\rightarrow y - 3 = -4(x - (-4))[/tex]

[tex]\sf\rightarrow y - 3 =-4(x + 4)[/tex]

Additional, in slope intercept form:

[tex]\sf\rightarrow y = mx + b \quad where \ 'm \ is \ slope' \ and \ 'b \ is \ y-intercept'[/tex]

[tex]\sf\rightarrow y = -4 x - 16 +3[/tex]

[tex]\sf\rightarrow y = -4x -13[/tex]

Answer:

3660

Explain

3660ml×1L/100ml

= 3.66L

By using trigonometric relations, we will see that the angle of elevation must be 55°.

We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.

The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.

Then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

tan(a) = 1250ft/875ft

To find the angle of elevation, we can use the inverse tangent function:

a = Atan(1250ft/875ft) = 55°

The angle of elevation must be 55 degrees.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

Answer:

19

Step-by-step explanation:

Answer:

20.375

Step-by-step explanation:

To calculate the mean, in this situation, you first add up the game scores and divide it by the amount of games.

So, first we add 24+17+28+19+23+20+13+19 = 163

Because there are 8 games, we do 163 / 8 = 20.375

or 20.4 to 1dp

Hope this helped! If anything requires clarification, don't hesitate to ask me. I can assure you this is the right answer.

- profparis

Answer:

Step-by-step explanation:

Note

I think the question means "What do you multiply -26 by to get - 468

call the number that you need x

x * -26 = - 468                        Divide both sides by - 26

-26x/-26 = - 468/ - 26           There are 2 minus signs on the right. They cancel.

x = 18

Conclusion

When you multiply 18 * -26 the answer is --468

Answer: 18

Answer:

C. 4, -2 1/2

Step-by-step explanation:

(x,y)

its kinda easy

Answer: C

Step-by-step explanation:

Answer:

-6,-4

Step-by-step explanation:

if you have to evaluate its 4

and there is 2 solutions

Answer:

i think 6 years because i always used it

Step-by-step explanation:

make me my brainliest answer

The quantity of sugar required for 2/4 of the recipe is 1/3 cups

let

Ratio of sugar to recipe

2/3 : 1 = x : 2/4

2/3 ÷ 1 = x ÷ 2/4

2/3 × 1/1 = x × 4/2

2/3 = x × 2

2/3 = 2x

x = 2/3 ÷ 2

x = 2/3 × 1/2

= 2/6

x = 1/3 cups

Therefore, the quantity of sugar required for 2/4 of the recipe is 1/3 cups

Learn more about fraction:

https://brainly.com/question/11562149

#SPJ1

A function on a graph to figure it out you can do the line test where you draw a line through the graph and if the line touches two points its not a function. With this in mind bottom right is for sure one and the top left looks like one but i cant really tell...

Step-by-step explanation:

Answer:

either x = 1.75 or x = 700 , question wasn't clear

Step-by-step explanation:

Because you put the x in front of 20 , you might be meaning x/20 (second answer listed)? Or, you put the variable on the wrong side of 20. (first answer listed)

If you meant to type 20x

35 = 20x

÷20   ÷20     *

1.75 = x

*divide both sides by 20 to isolate x

x = 1.75

(x = [tex]\frac{35}{20}[/tex])

--------------------------------------------------------------------------

If you meant to type x/20

35 = [tex]\frac{x}{20}[/tex]

·20   ·20       *

700 = x

*multiply both sides by 20 to isolate x

700 = x

The probability of getting a red card and rolling a 5 is = 3/85

First, we want to find the probability of rolling a 5.

There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:

P = 1/5.

Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:

P' = 3/(3 + 6 + 8) = 3/17

The joint probability is given by the product between the individual probabilities:

prob = P*P' = (1/5)*(3/17) = 3/85

If you want to learn more about probability:

https://brainly.com/question/251701

#SPJ1

Answer: medians in a triangle.

The domain of the function is x > 0.

The correct option is (B)

Domain of a function is defined by the set of x-values of the graph of a function.

as, domain of a function is defined by the set of x-values of the graph of a function.

From the graph we can see that,

x-values are starts from x > 0 [Since x ≠ 0]

Also, moves towards infinity,

Hence, domain of the function be, (0, ∞) or x > 0

Learn more about this concept here:

https://brainly.com/question/20699145

#SPJ1

Answer:

B

Step-by-step explanation:

Answer:

see the attachment photo!

Answer:

3/4 cups

Step-by-step explanation:

3 1/2 divided by 2