HELP MEEEEEEEEEEEEEE

The equation of the car can be given as and the price of the car after 8 years is $4445.

What is an exponential function?

A function of the form [tex]a^{x}[/tex] is known as exponential function. In short the function which has an exponent is known as exponential function.

We are given that the value of a new car after 2 years was $11,200. When the car is 6 years old, the value has dropped to $6100.

Let the original price of the car be [tex]P_{0}[/tex]

After two years the price of the car is $11200

Mathematically it can be given as

[tex]11200= P_{0}e^{2x}[/tex]

After 6 years the price of the car is $6100

Mathematically it can be given as

[tex]6100=P_{0}e^{6x}[/tex]

Dividing both equations we get,

[tex]1.83=e^{-4x}[/tex]

Which can also be written as

[tex]e^{4x}=0.54[/tex]

on solving we get,

x=-0.154

Hence the rate at which price of the car is dropping is

[tex]P=P_{0}e^{-0.154t}[/tex]

No we have to find the original price of the car

To do so we substitute t=2 in the equation

we get

11200=[tex]P_0e^{-0.308}[/tex]

On solving we get,

15240=[tex]P_0[/tex]

Now we find the price of the car after 8 years

P=15240·[tex]e^{-1.232}[/tex]

On simplifying we get

P=$4445

Hence the price of the car after 8 years will be $4445

To learn more about Exponential equation please refer

https://brainly.com/question/2456547

#SPJ13

The predicted distance of the ball would be 27.1.93 yards when the ball travels for a duration of 5 seconds.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

The distance, y, is measured in yards and the speed, s, is measured in miles per hour.

The regression line is defined as ŷ = 3.98 + 53.59s  ... (i)

The slope and y-intercept of the regression line must be determined.

The general equation for a linear regression line is y = a + bx...(ii), where x is a variable. The variable is indicated by s in the above equation.

When I and (ii) are compared, we obtain a = 3.98 and b = 53.59.

It indicates that the slope is 53.59 and the y-intercept is 3.98.

The slope, b = 53.59, implies that for every mile per hour of speed, the distance rises by 53.59 yards.

The ball travels for a duration of 5 seconds

Substitute the value of s = 5 in equation (i) to get

ŷ = 3.98 + 53.59(5)

ŷ = 271.93

Thus, the predicted distance of the ball would be 27.1.93 yards.

Learn more about Velocity here:

https://brainly.com/question/12904979

#SPJ1

Answer:

271.93

Step-by-step explanation:

Considering the given system of equations, it is found that:

B. They intersect at the point (2,9000).

C. The x-value of the point of intersection represents the time in which they intersect.

D. The y-value of the point of intersection represents the altitude in which they intersect.

A system is equations is composed by a number of curves, and the solution to the system of equations is the point where all these curves intersect each other on the graph.

In the context of this problem, the curves are given as follows:

In which the variables are as follows:

From the graph given in this problem, it is found that they intersect at point (2,9000), that is, they intersect a height of 9000 feet at a time of 2 seconds.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:  Considering the given system of equations, it is found that:

B. They intersect at the point (2,9000).

C. The x-value of the point of intersection represents the time in which they intersect.

D. The y-value of the point of intersection represents the altitude in which they intersect.

How to solve a system of equations graphically?

A system is equations is composed by a number of curves, and the solution to the system of equations is the point where all these curves intersect each other on the graph.

In the context of this problem, the curves are given as follows:

Plane A descent: y = -2500x + 14000.

Plane B ascent: y = 4000x + 1000.

In which the variables are as follows:

Variable x: time in minutes.

Variable y: altitude of the plane, in feet.

From the graph given in this problem, it is found that they intersect at point (2,9000), that is, they intersect a height of 9000 feet at a time of 2 seconds.

Step-by-step explanation:

The possible coordinates of the other points are (1, -1) and (5, 1)

From the question, we have

Where (1, y) represents the other points

The distance between the points is then calculated using the following distance formula

d = √[(x₁ - x₂)²+ (y₁ - y₂)²]

Where x and y are the coordinates of the two points

Substitute the known values in the above equation

So, we have

d = √[(-3 - 1)²+ (-2 - y)²]

Evaluate

d = √[16+ (-2 - y)²]

The distance is 5 units

So, we have

√[16+ (-2 - y)²] = 5

Square both sides

16+ (-2 - y)² = 25

This gives

(-2 - y)² = 9

Square root of both sides

-2 - y = +/-3

So, we have

y = -2+/-3

Evaluate

y = -1 and y = 5

Hence, the coordinates are (1, -1) and (5, 1)

Read more about distance at

https://brainly.com/question/28873363

#SPJ1

Answer:

Each friend paid $5 for parking.

Step-by-step explanation:

[tex]23.5[/tex] - [tex](6.75[/tex][tex](2)[/tex][tex])[/tex] = [tex]10[/tex]

[tex]10[/tex] ÷ [tex]2 = 5[/tex]

I'm not sure about the rest of the question.

The inequality of the two triangle are 32° < x < 68° and the range of the value x is defined as  x ≥ 4.

Inequality:

Inequality means the relationship between two values that are not equal is defined by inequalities which means they are not equal.

Given,

Here we have the two triangles with some angle values.

Now, we need to find the inequality of these triangle.

To find the inequality of the triangle first we have to write down the values provided, they are,

77, 11x - 33, 68°, 32°

Through this we have identified that, the value of x is lies in between 68° and 32°.

So, it ca be written as,

32° < x < 68°

The next this is to use the triangle inequality theorem, that is,

"The sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c."

Therefore, based on the given equation we have written it as,

11x - 33 ≥  77

Subtract 33 on both sides then we get,

11x ≥ 44

Therefore, x ≥ 4.

To know more about Inequality here.

https://brainly.com/question/28823603

#SPJ1

a. The average mass of one apple in kilograms is 150g.

b. The cost of 500 grams of apples is R6.5

A. When the mass of eight apples is 1 200g, the average mass of one apple in kilograms will be:

= Total mass / Number of Apple

= 1200g / 8

= 150g

B. A 5 kg bag of apples costs R65. The cost per kg will be:

= Amount / Number of g

= R65 / 5000

= R0.013

The cost for 500 grams will be:

= 500 × R0.013

= R6.50

Learn more about mass on:

brainly.com/question/19385703

#SPJ1

No, the given relation is not a function. An association between items of two sets—the domain and the codomain—is known as a binary relation.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.

Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, functions represented the idealised relationship between two changing quantities.

Consider the given relation

{(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}

We need to check whether the given relation is function or not.

A relation is a function if there exist a unique value of y for each value of x.

In the given relation, for x=0.3 there exist more than one value of y.

y=0.6 at x=0.3

y=0.7 at x=0.3

For one input there exist more than one output. Therefore, the given relation is not a function.

To learn more about Functions refer :

https://brainly.com/question/22340031

#SPJ1

SOLUTION:

Step 1:

In this question, we are given the following:

Consider this system of equations:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The values of x that are the solutions to the system of equations are:

Based on the vertices of the triangle, the area of the triangle can be found to be 8 cm²

First, find the lengths of JK, KL, and JL. When given vertices, you can find the length of a line by the formula:

= √ ( (x₂ - x₁)² + (y₂ - y₁)²)

The length of JK is therefore 2.83 units

The length of KL is therefore 5.66 units

The length of JL is therefore 6.32 units.

Given these units, the area of the triangle can be found by the formula:

= √ s(s - a) ( s - b) ( s - c)

Where:

s = semi perimeter

a, b, and c are the sides of the triangle which are JK, KL, and JL.

The semi-perimeter can be found by the formula:

= ( a + c + c) / 2

= 15.47 / 2

= 7.74

The area of the triangle is therefore:

= √ s(s - a) ( s - b) ( s - c)

= √ 7.74 (7.74  - 2.83) ( 7.74 - 5.66) ( 7.74 - 6.32)

= 8 cm²

Find out more on the area of a triangle at https://brainly.com/question/17335144

#SPJ1

Answer:

??

Step-by-step explanation:

PARALLEL LINES HAVE EQUAL GRADIENTS

THE GRADIENT IN THE X-AXIS IS EQUAL TO 0 SINCE THE THE Y VALUE FOR ANY X VALUES IS 0

[tex]m = \frac{0 - 0}{x2 - x1} \\ m = 0[/tex]

This just means that the gradient for the line parallel to the given line is 0

I will use the technique of the General equation of a straight line. y=mx+c

[tex]7 = (0)(2) + c \\ c = 7[/tex]

THE EQUATION IS

[tex]y = 7[/tex]

ATTACHED IS THE SOLUTION.

For the length to be sides of a triangle, the sum of any two sides triangle must be greater than third side.

Condition is true.

Condition is true.

Condition is true.

The triangle inequality satisfied for the triangle. So length belongs to a side of triangle.

Answer: yes

Since there are 128 fluid ounces in one gallon, we need to divide 14 by 128 to change ounces into gallons.

Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour.

Combining these:  14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr)  =  6.5625 gal per hour.

Written as a mixed fraction:  6 9/16 gal per hour.

If they meet in 2 hr the rate of the slower car is 86.

What is rate?

rate is the ratio between two of  related quantities in the  different units. If the denominator of the ratio is expressed as of a single unit of one of those quantities.

Sol- as per the given question

{d =380

{t=2

Substitute {d=380 formula

                 {t=2

d=v×t

380=2v

=2(18+2x)=380

Apply the distributive property

36+4x=380

Rearrange variables to the left side of the equation

4x=380-36

4x=344

Divided both side of the equation by the coefficient of variable

X=344/4

By cross out the common factor we get

X=86

To know more about rate click-

https://brainly.com/question/25537936

#SPJ13

Answer:

(4,-5)

Step-by-step explanation:

A is 5 units above the x axis so a' will be 5 units below the x axis.

Step 1

Given;

Required; To find the measure of angle F

Step 2

Answer;

Solution

We have the following info:

Grades Credits

B 2

B 5

B 5

C 2

And we know that A= 4, B= 3, C=2

So we can do this:

then the weighted average is 2.86

The values of variable x are x₁ = 16, x₂ = - 4.

The measure of angle R is 60°.

The lengths of side RS are RS₁ = 256 and RS₂ = 16.

The lengths of side RT are RT₁ = 256 and RT₂ = 16.

In this problem we need to find the values of four variables related to a triangle, which is seen in the picture, indicating an equilateral triangle. The solution of this question must be done by using definitions and theorems from Euclidean geometry:

Value of variable x

According to Euclidean geometry, the measures of the three sides in an equilateral triangle are the same. Then, the variable x can be found by solving the following equation:

RT = RS

x² = 12 · x + 64

x² - 12 · x - 64 = 0

(x - 16) · (x + 4) = 0

There are two possible solutions:

x₁ = 16, x₂ = - 4

Measure of the angle R

Equilateral triangles have three internal angles of 60°. Therefore, m ∠ R = 60°.

Length of side RS

There are two options:

RS₁ = 16²

RS₁ = 256

RS₂ = (- 4)²

RS₂ = 16

Length of side RT

There are two options:

RT₁ = 12 · 16 + 64

RT₁ = 256

RT₂ = 12 · (- 4) + 64

RT₂ = 16

To learn more on equilateral triangles: https://brainly.com/question/17824549

#SPJ1

Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .

In the given question, we shall check the bag is underfilled at given level or not .

We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :

H₀ : u = 411 : the bags are not underfilled

Hₜ : u < 411 : the bags are underfilled

Check it now using statistic Z-test and the test Statistic formula is given by

= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .

From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21

Including all of the above variables in formula

Z = (437-411)/21/√19

= 26/21/√19

= 5.395

This is right -tail test in statistic Z -test

P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )

The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025

P- value >α , this implies that Null hypothesis is not Rejected .

There is sufficient evidence to suggest that bag is not underfilled.

To learn more about Hypothesis testing, refer:

https://brainly.com/question/580970

#SPJ4

Answer:

$195

Step-by-step explanation:

40% represents £130

40% : $130

100% : total

To find total:

($130 / 40) x 100 = $325 is the total

If $130 spent:

$325 - $130 = $195 is the amount left

None of the available possibilities is an equivalent expression.

Supplemental methods add up to 180 degrees, just like all other options.

    If two expressions function the same way while having different looks, they are said to be comparable. Two identical algebraic expressions have the same value when the same value(s) for the variable are entered (s).

  No one in the available possibilities satisfies the requirement of a comparable expression.

2x - 15 + 3x + 15 = 180

2x - 10 + 3x = 180

5x - 10  = 180

5x - 10 + 10 = 180 +10

add the numbers

5x = 190

5x /5 = 190 5

x = 38

As a result, none of the possibilities shown are identical expressions.

To Learn more About equivalent expression, Refer:

https://brainly.com/question/15775046

#SPJ13

Answer:

the answer is 26

Step-by-step explanation:

j+2h

(2) + 2(12)

2 + 24

26

Answer:

The equation of the line is;

Explanation:

Given that the line has a slope of;

And passes through the point;

Applying the point-slope equation of straight line;

substituting the given values and solving;

Therefore, the equation of the line is;

Answer:

x=12

Step-by-step explanation:

(x-6)=6

x=12

The most appropriate choices of origin and scale for the graph are given as follows:

The most appropriate scale one of a graph is one that permits the reader to visualize the data and noting the differences in the data.

In the context of this problem, the values of x from the table increase 1 by 1, hence a large scale would not give the reader a chance to visualize the data, hence a scale of 1 should be used.

The values of y, otherwise, range from 300 to 1200, meaning that a small scale would be bad for the readability of the graph, and thus a scale of 100 should be used for the values of y, giving the readers a chance to visualize the differences between 300 and 1200.

The origin of the graph should be the point (0,0), as both x and y assume only positive values, hence only the first quadrant is needed to plot the graph.

The table is missing and is given by the graph at the end of the answer.

More can be learned about scales at https://brainly.com/question/16355151

#SPJ1

Answer:

Step-by-step explanation:

INFORMATION:

We know that:

- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.

- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.

And we must find P (both are letters)

STEP BY STEP EXPLANATION:

To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.

These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.

So, first

- Probability of A (the first piece is letter)

- Probability of B after A

Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces

Finally, replacing in the initial formula

Finally, the probability would be 0.1630

ANSWER:

P (both are letters) = 0.1630