A compact car depreciates at 10% per year three years ago it was purchased for 21,000. Whats it worth now? Pls help me

A formula one race car will travel for 193.45 miles before changing its tires.

From the case, we know that:

tires diameter = 26 in.

1 set of tires = 150,000 rotations

12 in = 1 ft

1 miles = 5280 ft

We need to find the circumference of the tires before finding the total travel length.

Circumference = πd

Circumference = π(26in)

Circumference = 81.714 in.

We need to find the tires circumference in mile scale:

Circumference = 81.714 in : (12 inc/ft) : (5280 ft/miles)

Circumference = 0.0013 miles

Total travel distance = tires circumference x rotations

Total travel distance = 0.0013 x 150,000

Total travel distance = 193.45 miles

Learn more about Circumference here: brainly.com/question/4268218

#SPJ1

Answer:

9 days

Step-by-step explanation:

Answer:

f(x) = 13 \((3)^{x}\)

Step-by-step explanation:

we require to find a and b

using ordered pairs from the table and substituting into f(x)

f(x) = a\((b)^x}\)

using (0, 13 )

13 = a\(b^{0}\) [ \(b^{0}\) = 1 ] , then

a = 13

f(x) = 13\((b)^{x}\)

using (1, 39 )

39 = 13\(b^{1}\) = 13b ( divide both sides by 13 )

3 = b

f(x) = 13 \((3)^{x}\)

Answer:

\(f(x)=13(3)^x\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}\)

The y-intercept of a function is the y-value when x = 0.

From inspection of the table, the y = 13 when x = 0, so a = 13:

\(\implies f(x)=13(b)^x\)

Substitute the ordered pair (1, 39) into the equation and solve for b:

\(\begin{aligned}f(1)=13(b)^1&=39\\13b&=39\\b&=\dfrac{39}{13}\\b&=3\end{aligned}\)

Therefore, the equation for the given table is:

\(f(x)=13(3)^x\)

The t-interval procedure should be used rather than the z-interval procedure.

In this situation, you should use the t-interval procedure to obtain a confidence interval for the population mean.

This is because the population standard deviation is unknown and the sample size is small.

The t-interval procedure uses a t-distribution which is appropriate for these conditions.

Therefore, the t-interval procedure should be used rather than the z-interval procedure.

Learn more about  t-interval and z-interval procedure

brainly.com/question/29984526

#SPJ11

The slope of a linear function is always the same thus the missing values are y₂ = 5 , y₃ = 8, and y₄ = 12.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given table,

Take (2,3) and (6,19)

Slope = (19 - 3)/(6 - 2) = 4

To maintain the same slope,

(y₂ - 3)/(3 - 2) = 4

y₂ = 5

(y₃ - 4)/(4 - 3) = 4

y₃ = 8

(y₄  - 8)/(5 - 4) = 4

y₄ = 12

Hence "The slope of a linear function is always the same thus the missing values are y₂ = 5, y₃ = 8, and y₄ = 12".

For more about the linear function,

brainly.com/question/21107621

#SPJ1

Answer:

She needs 3 cups of white paint

Step-by-step explanation:

She has 1:4 ratio with the white and blue paint.

1/4:1

3/4:3

The most conservative cutover method when converting to a new system is the Phased Cutover.

This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.

After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.

Once the new system is running successfully, the old system is discontinued.

The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.

To know more about cutover click on below link:

https://brainly.com/question/14179659#

#SPJ11

The value x-coordinates which is required is found out to be as Q = -19.41 and +19.41.

The given values are,

radius , r = 35 feet

speed of ball = 11 ft./sec

location of the cup =  (0, 0)

starting location the ball = (-40. -50)

In order to find the possible x-coordinates of Q,

The coordinates of the rightmost edge of the golf course = (35, 0)

slope = m = ( y2 - y1)/ ( x2 - x1)

now , the equation for a circle is known as , (x - h)² + (y - k)² = r²

and the center of the course is given as ,  (h, k) = (0, 0)

Therefore the equation becomes (x - 0)² + (y - 0)² = x² + y² = 35²

equation of tangent , y = -3x/2

putting this value in the tangent = x² + ( -3x/2 )²  = 35²

13x² /4 = 35²

x = √ ( 35²  x 4 )/ 4 = 35²

x = 70/13√ 13 = 19.41

Therefore, the  coordinates of Q are found out to be as  -19.41 and +19.41

To learn more about circles

brainly.com/question/29142813

#SPJ4

EXPLANATION:

We are given the original price of a laptop computer at $1,700.

Now the price has been increased to $1,800.

Note that there is a $100 increase over the original price.

For us to calculate the percent increase we shall use the ratio of the increase over the original price and calculate as a percentage.

We can now set up the following equation;

We now cross multiply;

Rounded to one decimal place, the percent increase is;

ANSWER:

we can conclude the limit limx→1f(x) does not exist.

What do you mean by limit?

A limit is a mathematical notion that is founded on the idea of closeness. It is mostly used to give values to some functions at positions when none are defined in a way that is consistent with values close by.

According to the limit   limx→1−f(x)=3.

the value of 3 when we approach 1 from its left. In another hand this other limit   limx→1+f(x)=7  interpreted as the function approaches to 7 when we approach 1 from the right.

Finally, taking into account the one-sided limits are different, we can conclude the limit limx→1f(x) does not exist.

Learn more about limit

brainly.com/question/29795597

#SPJ1

Answer:

434

Step-by-step explanation:

Steps:

156.24 ÷ 36% = 156.24 ÷ 0.36 = 434

The type of sampling used in each case of the students to pay tuition fee for the fall semester is simple random sampling.

Simple random sampling is the method that was applied in this instance. Each person in the population has an equal probability of being chosen for the sample when using simple random sampling. In this instance, the amount of tuition each participant in the sample paid for the autumn semester was questioned.

The type of sampling in the next case is stratified sampling. After classifying the students into freshmen, sophomores, juniors, or seniors, 25 students from each group are chosen. The sample will be representative of each group thanks to this technique.

To know more about the types of sampling, refer:

https://brainly.com/question/13137746

#SPJ4

Complete question is:

A study wants to determine the average tuition that san jose state undergraduate students would pay per semester. each student in the following samples is asked how much tuition he or she paid for the fall semester. what is the type of sampling in each case?

A sample of 100 undergraduate San Jose State students is taken by organizing the students’ names by classification (freshman, sophomore, junior, or senior), and then selecting 25 students from each.

Answer:

\(p=\frac{5}{6}\)

Step-by-step explanation:

Answer:

Exact Form:

             5

p=     ---------

             6

Decimal Form:

The greatest vertical length of the green section should be approximately 3.52 feet.

To determine the greatest vertical length of the green section, we can use the given information that the greatest horizontal length of the green section is 8.8 feet.

Since the ratio of the line segment is 5:2, we can set up a proportion using the horizontal and vertical lengths of the green section:

(horizontal length of green section) / (vertical length of green section) = (5/2)

Let's denote the greatest vertical length of the green section as y. We can rewrite the proportion as:

8.8 / y = 5 / 2

To solve for y, we can cross-multiply and then divide:

8.8 * 2 = 5 * y

17.6 = 5y

Dividing both sides by 5, we get:

y = 17.6 / 5

y ≈ 3.52 feet

Therefore, the greatest vertical length of the green section should be approximately 3.52 feet.

It's important to note that this calculation assumes a linear relationship between the horizontal and vertical lengths of the green section. If there are other factors or constraints involved in the scenario, such as angles or specific geometric properties, a more detailed analysis may be required to determine the exact vertical length.

For more question on length visit:

https://brainly.com/question/28322552

#SPJ8

By using the formula for area of triangle using coordinates, the following results are obtained

13) Area of triangle = \(\frac{15}{2} \ sq. units\)

14) Area of triangle = \(\frac{49}{2} \ sq. units\)

What is area of triangle?

Area of a triangle is the total space taken by the triangle. If the coordinates of triangle are \((x_1, y_1), (x_2, _2) \ and \ (x_3, y_3)\), then area of triangle is calculated by the formula

Area of triangle = \(\frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|\)

13) The given coordinates are E (3, 1), F(3, -2) and G(-2, 2)

Area of triangle =

\(\frac{1}{2}|3(-2-2) + 3(2-1) + (-2)(1 -(-2))|\\\\\frac{1}{2}|3(-4) + 3(1) -2(3)|\\\\\frac{1}{2}|-12 + 3 - 6|\\\\\frac{1}{2}|-15|\\\\\frac{15}{2} \ sq. units\)

14) The given coordinates are E (-3, 4), F(4, 4) and G(3, -3)

Area of triangle =

\(\frac{1}{2}|(-3)(4-(-3)) + 4(-3-4) + 3(4-4)|\\\\\frac{1}{2}|(-3)(7)+4(-7)+3(0)]\\\\\frac{1}{2}|-21-28+0|\\\\\frac{1}{2}|-49|\\\\\frac{49}{2} \ sq. units\)

To learn more about area of triangle, refer to the link-

https://brainly.com/question/17335144

#SPJ1

As per the query, we have to find a number which is divided by 8 that answers 27, i.e., quotient is 27, and remainder is 4. The number is 220.

In this case, we used it to find the number that was divided by 8 and gave a quotient of 27 and a remainder of 4. As we know the rule:

Dividend = Divisor × Quotient + Remainder

x = 8 × 27 + 4 x = 216 + 4 x = 220.

Hence, the number is 220.

The formula I used is called the division algorithm. It’s a way to divide two numbers and get a quotient and remainder. We can use this formula to solve other division problems with remainders as well.

To know more about division algorithm, refer:

https://brainly.com/question/27893941

#SPJ4

Answer:

Step-by-step explanation:

The starting equation is

12-(3x+13)=0

First add 3x+13 to both sides so that only 12 is on the left

12=3x+13

now subtract 13 from both sides to isolate your variable

-1=3x

Finally divide both sides by 3 to get your final answer

x=-1/3

False. If a polynomial with degree greater than 1 has roots over a field R, it does not necessarily mean that the polynomial is reducible over R.

The statement is false. It is not true that if a polynomial f(x) with degree n > 1 has roots over a field R, then it is necessarily reducible over R. The irreducibility of a polynomial depends on the properties of the field and the polynomial itself.

A polynomial is said to be reducible over a field if it can be factored into a product of two or more non-constant polynomials over that field. However, having roots over a field does not imply that the polynomial can be factored into non-constant polynomials. For example, consider the polynomial f(x) = (x - a)(x - b), where a and b are distinct elements of the field R. This polynomial has roots over R, but it is irreducible over R if a and b are not in R.

In general, the irreducibility of a polynomial over a field depends on various factors such as the field's properties, the degree of the polynomial, and the specific coefficients of the polynomial. Therefore, the presence of roots over a field does not guarantee the reducibility of the polynomial over that field.

Learn more about polynomial here:

https://brainly.com/question/11536910

#SPJ11

As per the 95% confidence interval, the true average age of all students in the university is approximately 23 to 24.

Confidence interval

Confidence interval means the interval calculation, obtained from the observed data that holds the actual value of the unknown parameter.

Given,

A random sample of 64 students at a university showed an average age of 23 years and a sample standard deviation of 3 years.

And we need to find the 95% confidence interval for the true average age of all students in the university.

While we looking through the given question we have identified the following,

Number of samples = 64

Average age = 23

Standard deviation = 3

Confidence interval = 95%

Based on this confidence interval, the z score is 1.96

According to the formula,

u = 23 ± 1.96 x 3/√64

u = 23  ± 1.96 x (3/8)

u = 23  ± 1.96 x 0.375

u = 23  ± 0.735

u = 23.735, 22.635

Therefore, the average age of the student is approximately 23 to 24.

To know more about Confidence interval here.

https://brainly.com/question/24131141

#SPJ4

The way that the sample size would have to change to decrease the length of the confidence interval is to increase from 400 to 1600.

The confidence interval's length is directly proportional to the sample size. The specific relationship between these two factors follows an inverse proportion that correlates to the square root of the sample size.

One could represent this correlation through a proportionality statement: the larger the sample size, the smaller the confidence interval's length becomes.

Given that L1 = 0. 06 and n1 = 400, we want to find n2 such that L 2 = 0. 03:

L1 / L2 = √(n 2 / n 1)

The values would then be:

L1 / L2 = √ ( n2 / n1 )

0.06 / 0.03 = √ ( n2 / 400)

2 = √ (n2 / 400)

2² = ( √ (n2 / 400))²

4 = n2 / 400

n2 = 4 x 400

n2 = 1600

In conclusion, the sample size needs to increase to 1, 600.

Find out more on sample size at https://brainly.com/question/2264071

#SPJ1

Answer:

44:99 = 4:9

108:36 = 3:1

33:9 = 11:3

49:14 = 7;2

hope it helps

Answer:

17

Step-by-step explanation:

From inspection of the given bar chart, the number of boys in each section is:

To find the average number of boys per section in class 8, sum the number of boys in each section and divide the result by 4.

\(\boxed{\sf Average=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}\)

\(\implies \sf Average=\dfrac{16+20+16+16}{4}=\dfrac{68}{4}=17\)

Therefore, there is an average of 17 boys per section in class 8 of Jagruti High School.

Answer:

17

Step-by-step explanation:

To find the average of something, we divide the total by the amount of sections/groups.

So we need to find the total number of boys and divide by the number of sections (4).

We can find the number of boys in each section by reading it off the chart:

8A: 16 boys

8B: 20 boys

8C: 16 boys

8D: 16 boys

So the total number of boys in class 8 is the sum of each section: 16+20+16+16=68

Divide this total by the number of sections (4) to get the average:

68/4=17

So the average number of boys per section in class 8 is 17.

Total number of possible outcomes are 20

The Fundamental Counting Principle is a rule that states that if one event has M outcomes and another event has N outcomes, then the combined events have M*N outcomes. The principle is helpful in determining the number of possible outcomes in an experiment that involves several sub-experiments. Let us see how we can use the Fundamental Counting Principle to determine the total number of possible outcomes in the given scenario:

There are four different battery lives: 1 day, 3 days, 5 days, and 7 days.There are five different colors: silver, green, blue, pink, and black.Using the Fundamental Counting Principle, we can determine the total number of possible outcomes as follows:Total number of possible outcomes = Number of outcomes for battery life * Number of outcomes for color= 4 * 5= 20

To use the Fundamental Counting Principle to determine the total number of possible outcomes, we need to determine the number of outcomes for each sub-experiment. In this case, there are two sub-experiments: battery life and color. For the battery life sub-experiment, there are four different battery lives: 1 day, 3 days, 5 days, and 7 days.

For the color sub-experiment, there are five different colors: silver, green, blue, pink, and black.Using the Fundamental Counting Principle, we can determine the total number of possible outcomes by multiplying the number of outcomes for each sub-experiment. Therefore, the total number of possible outcomes is the product of the number of outcomes for battery life and the number of outcomes for color, which is 4 * 5 = 20.There are 20 total possible outcomes for the Fitness Tracker experiment. The Fundamental Counting Principle is a useful tool in determining the number of possible outcomes in complex experiments that involve several sub-experiments. The principle is helpful in making predictions and calculating probabilities.

the Fundamental Counting Principle can be used to find the total number of possible outcomes in an experiment. By multiplying the number of outcomes for each sub-experiment, we can determine the total number of possible outcomes.

In this scenario, there are four possible outcomes for battery life and five possible outcomes for color, resulting in a total of 20 possible outcomes. The principle is helpful in making predictions and calculating probabilities in complex experiments.

To know more about Fundamental Counting Principle visit:

brainly.com/question/30869387

#SPJ11

The signal \(x(t) = 3 \cos(2 \pi t) + 6 \sin(5 \pi t) + 7.5 \cos(10t)\) is periodic with a fundamental period of \(T_0 = 1\).

To determine the periodicity of the signal, we need to examine the frequencies present in the signal. The signal contains three sinusoidal components with different frequencies: \(2\pi\), \(5\pi\), and \(10\).

For a sinusoidal signal, the period \(T\) can be calculated as the reciprocal of the frequency, i.e., \(T = \frac{1}{f}\), where \(f\) is the frequency.

In this case, the frequency of the first component is \(2\pi\), so its period is \(T_1 = \frac{1}{2\pi}\). Similarly, the frequency of the second component is \(5\pi\), so its period is \(T_2 = \frac{1}{5\pi}\). Finally, the frequency of the third component is \(10\), so its period is \(T_3 = \frac{1}{10}\).

To determine the fundamental period \(T_0\), we need to find the least common multiple (LCM) of the periods \(T_1\), \(T_2\), and \(T_3\). In this case, the LCM of \(T_1\), \(T_2\), and \(T_3\) is \(T_0 = 1\).

Learn more about LCM at: brainly.com/question/24510622

#SPJ11

The equation v in terms of other variables is v = kr/2h

It is a variable which is expressed in terms of other variables involved in the formula.

Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.

2(vh) / k = r

by cross multiplication

2(vh) = kr

divide both sides by 2h

v = kr/2h

In conclusion, v in terms of other variables is  kr/2h

Learn more about subject of an equation: https://brainly.com/question/657646

#SPJ1

Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Answer:If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles

Answer:

x = ± 2√2

Step-by-step explanation:

Assuming "x2" is x^2 or "x squared", the answer can be derived from "square-rooting" both sides.

√ x^2 = √ 8

Then we simplify.

x = ± 2√2

Hope this helps!

Answer:

the answer is A.

Step-by-step explanation:

Don't have time to write the steps now because i am in class but i might later.

Answer:

You need to put the fractions for us to answer but fractions that are greater than 1/2 include: 3/4 and  4/7  and  basically any fraction that has a value greater than 0.5

Step-by-step explanation: