Lillian bought a $600 laptop using a credit card. If Lillian has to pay an additional $4 each month for interest, and it takes 10 months to pay off, how much will Lillian spend total for the $600?

Answer:

End points of the this segment are (9,1) and (2,3).

Step-by-step explanation:

The given function is

\(y=h(x)\)

End points of the this segment are (1,9) and (3,2).

If a function is defined as

\(f=\{(a,b),a\in R,b\in R\}\) then

\(f^{-1}=\{(b,a),a\in R,b\in R\}\)

It means, we have to interchange x and y-coordinates of the end points.

So, end points of the this segment are (9,1) and (2,3).

Plot these point and join them by a line segment.

The inverse of the function will be a line segment joining the points (9,1) and (2,3). See the graph.

Given information:

The function y=h(x) is a line segment joining the points (1,9) and (3,2).

So, the endpoints of the function y=h(x) can be written as,

\(y=h(x)=\{(1,9),(3,2)\}\)

The inverse of a function is simply the opposite relation. In the inverse, the range and domain interchange themselves.

So, the inverse of the given function can be written as,

\(y=h^{-1}(x)=\{(9,1),(2,3)\}\)

Refer to the graph of the function for more details.

For more details, refer to the link:

https://brainly.com/question/10300045

In this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

To find chi-square goodness-of-fit test question.

To determine the degrees of freedom in this particular chi-square goodness-of-fit test with six categories and 325 observations, you need to subtract 1 from the number of categories. So, the degrees of freedom are:

Degrees of Freedom (df) = Number of Categories - 1
Degrees of Freedom (df) = 6 - 1
Degrees of Freedom (df) = 5

Next, to find the critical value of chi-square at a 0.10 significance level and 5 degrees of freedom, you can use a chi-square distribution table or an online calculator. After consulting the table or calculator, you will find that the critical value of chi-square is:

Critical Value of Chi-Square (rounded to 3 decimal places) = 9.236

So, in this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

To learn more about chi-square

https://brainly.com/question/4543358

#SPJ11

Answer:

12

Step-by-step explanation:

The range is the difference between the highest and lowest values within a set of data.

According to the above question,

Highest value=2

Lowest value=-10

So,

2-(-10)=12

Answer:29.68

Step-by-step explanation:

if the triangle is a right triangle, it should be this.

There are 100 centimeters in 1 meter. Therefore, 1 meter is 100 times larger than 1 centimeter.

One meter is 100 times larger than 1 centimeter. This is because the meter and centimeter are both units of length in the metric system, with the meter being the base unit. The prefix "centi-" in centimeter denotes a factor of 1/100. Thus, 1 centimeter is 1/100th of a meter. Therefore, to find how many times larger 1 meter is than 1 centimeter, we divide the meter by the centimeter: 1 meter / 1 centimeter = (1/100) meter/centimeter = 100. Hence, 1 meter is 100 times larger than 1 centimeter in terms of length.

To know more about centimeters:

https://brainly.com/question/11935744

#SPJ4

Answer:

20 people

Step-by-step explanation:

The volume of a cuboid is equal to length * breadth * height.

First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.

Next, the volume is  length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so

280cm³/14cm³ = 20 people

Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x

Answer:

No solution.

Step-by-step explanation:

The given equations are :

x−3y=6 ...(1)

x−3y=−3 ...(2)

We need to solve the above equations.

The above two lines are parallel. Forparallel lines,

\(\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\ne \dfrac{c_1}{c_2}\)

Here,

\(\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\)

It means, the above equations have no solution.

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Division first:

-2/5 / 8/15

When dividing two fractions flip

The second one over and multiply:

-2/5 x 15/8 = (-2x15)/(5x8) = -30/40 = -3/4

Now you have:

2-3/4-3/4

2-3/4 = 1 1/4

1 1/4 - 3/4 = 1/2

The answer is 1/2

The value of ? and X are 24 and 32 respectively

A triangles is 2D shape with three sides and angles.

From the given diagram, the ratio of similar sides is equal to a constant as shown;

15/20 = 9+15/20+x

Cross multiply

15/9+15 = 20/20+x

15/24 = 20/20+x

Comparing with the given ratio

? = 24

X = 20+x

Find x

15(20+x) = 480

300 + 15x = 480

15x = 180

x =12

X = 20 +x

X= 32

Hence the value of ? and X are 24 and 32 respectively

Learn more on similar triangles here: https://brainly.com/question/11920446

#SPJ1

The absolute maximum value of f on d is 4, and it occurs when x = 2, y = 0. The absolute minimum value of f on d is -37, and it occurs when x = 1, y = 3.

To find the absolute maximum and minimum values of f on the set d, use the following steps:Step 1: Calculate the partial derivatives of f with respect to x and y. f(x, y) = x2 4y2 − 2x − 8y 1∂f/∂x = 2x - 2∂f/∂y = -8y - 8Step 2: Set the partial derivatives to zero and solve for x and y.∂f/∂x = 0 ⇒ 2x - 2 = 0 ⇒ x = 1∂f/∂y = 0 ⇒ -8y - 8 = 0 ⇒ y = -1Step 3: Check the critical point(s) in the given domain d. 0 ≤ x ≤ 2, 0 ≤ y ≤ 3Since y cannot be negative, (-1) is not in the domain d. Therefore, there is no critical point in d.Step 4: Check the boundary of the domain d. When x = 0, f(x, y) = -8y - 1When x = 2, f(x, y) = 4 - 8y - 2When y = 0, f(x, y) = x2 - 2x - 1When y = 3, f(x, y) = x2 - 2x - 37Therefore, the absolute maximum value of f on d is 4, and it occurs when x = 2, y = 0.The absolute minimum value of f on d is -37, and it occurs when x = 1, y = 3.

To know more about domain visit:

https://brainly.com/question/26098895

#SPJ11

function: $f(x,y) = \(x^2 - 4y^2 - 2x - 8y +1$\) , The given domain is \(x^2 - 4y^2 - 2x - 8y +1$\)

Now we have to find the absolute maximum and minimum values of the function on the given domain d.To find absolute maximum and minimum values of the function on the given domain d, we will follow these steps:

Step 1: First, we have to find the critical points of the given function f(x,y) within the given domain d.

Step 2: Next, we have to evaluate the function f(x,y) at each of these critical points, and at the endpoints of the boundary of the domain d.

Step 3: Finally, we have to compare all of these values to determine the absolute maximum and minimum values of f(x,y) on the domain d.

Now, let's find critical points of the given function f(x,y) within the given domain d.To find the critical points of the function \($f(x,y) =\(x^2 - 4y^2 - 2x - 8y + 1$\)\), we will find its partial derivatives with respect to x and y, and set them equal to zero, i.e.\(\($f(x,y) = x^2 - 4y^2 - 2x - 8y + 1$\)\)

Solving these equations, we get:\($x = 1$\) and \($y = -1$\)So, the critical point is \($(1,-1)$.\)

Now, we need to find the function value at the critical point and the endpoints of the boundary of the domain d. We will use these five points:\($(0,0),(0,3),(2,0),(2,3),(1,-1)$\).

Now, let's evaluate the function f(x,y) at each of these five points:\(\($f(x,y) = x^2 - 4y^2 - 2x - 8y + 1$\)\)

Therefore, the absolute maximum value of f(x,y) is 1, and the absolute minimum value of f(x,y) is -67 on the domain d.

To know more about domain , visit

https://brainly.com/question/28135761

#SPJ11

Answer:

the one clue you have is "30,12" on the left. try to understand how they relate to each other. maybe how many times 12 goes into 30. or maybe how many times it goes into 32 with no decimal so what number do you have to add (sometimes work doesnt mean it like that so that might be wrong). but if you want the answers, they are:

35/5/15/30

14/2/6/12

the way i did it was if it was on the bottom (y) i did 2.5 times the number. if on the top (x) i did the number divided by 2.5. 2.5 was the rate of change (is that the word i think it is but if it isnt just blame me im sorry).

Step-by-step explanation:

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

Learn more about empty set here: https://brainly.com/question/13553546

#SPJ11

Step-by-step explanation:

We can find the other point using the axis of symmetry.

The axis of symmetry for a parabola passes through the x coordinate of the vertex.

So our axis of symmetry is x=4, which is a vertical line.

For any point on a parabola curve except the vertex, there will two points that share the same y value. The two x coordinates of those points midpoints should be the axis of symmetry.

So,

If we know (0,-6) and the vertex is 4, let's find the other point

\(( \frac{0 + b}{2} = 4\)

\(b = 8\)

So our other point is

(8,-6).

So the answer to #1 is we found point (8,-6) by using the axis of symmetry. By reflecting the point (0,-6) about the vertical line x=4, we end up getting the point (8,-6)

To find q, q(x) has the same vertex, so it is (4,10).

We know the axis of symmetry is x=4, we also know the y intercept is 18 so we have point (0,18)

Using the axis of symmetry we will get (8,18).

So the graphs above are the graphs of p and q

The graph facing upwards is q

The graph facing downwards is p.

For #2, you can say we know the vertex is (4,10) and using the y intercept and axis of symmetry we found the other point on the curve.

I don't fully see the table but if the other coordinates have a higher y value, the vertex is a minimum.

Else, of the other coordinates have a lower y value, the vertex is a maximum.

The car travels 3.75 miles in 5 minutes

GIVEN-

2.626 Miles in 3.5 mins

TO FIND-

Distance in 5mins

STEPS-

In 3.5 minutes it travels 2.625 miles

To find out how much it travels in only one minute, we divide 2.625 miles by 3.5 minutes

2.625/3.5 = 0.75 miles/minute

∵In m mins it traveled 0.75×m miles

since,distance d = 0.75 x m

∴In 5 mins it traveled 0.75x5 miles

=3.75miles

The car traveled 3.75 miles in 5 minutes

To learn more about speed:

https://brainly.com/question/13943409

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

To know more about satisfies visit-

brainly.com/question/16993710

#SPJ11

We need to determine the degrees of freedom and construct a 95% confidence interval for the mean chemical waste.

(a) Degrees of freedom: In this study, we have a sample size of 20 water samples (n = 20).

Degrees of freedom (df) for a sample is calculated as df = n - 1. In this case, df = 20 - 1 = 19.

(b) Construct a 95% confidence interval for the mean chemical waste:

First, we need to find the standard error (SE) of the mean, which is calculated as SE = standard deviation (SD) / sqrt(n).

In this case, SD = 11.78 g and n = 20, so SE = 11.78 / sqrt(20) = 2.634.

Next, we need to find the critical value (t*) for a 95% confidence interval with 19 degrees of freedom.

You can find this value using a t-table or calculator. For this case, t* ≈ 2.093. Now, we can calculate the margin of error (ME) using the formula ME = t* * SE.

In this case, ME = 2.093 * 2.634 = 5.513.

Finally, we can calculate the lower and upper bounds of the 95% confidence interval as follows:

Lower bound = mean - ME = 126 - 5.513 = 120.487 g/mile

Upper bound = mean + ME = 126 + 5.513 = 131.513 g/mile

So, the 95% confidence interval for the mean chemical waste in g per mile is (120.487, 131.513) per mile.

Learn more about degrees of freedom,

https://brainly.in/question/38102563

#SPJ11

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

To learn more about set ,

https://brainly.com/question/30368748

#SPJ4

Answer:

Will clearly has 23 snow balls

Sarah has 161 snow balls

Logan has 322 snow balls

All in all thats a lotta dam snow balls hehe :)

Step-by-step explanation:

hope this helps yall :)

Answer:

The answer is x=29

Step-by-step explanation:

-6 = x – 35

=-6+35=x-35+35

x=29

Answer:

41

Step-by-step explanation:

35- -6= 41

41-35=6

35-41=6

An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.

To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.

Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.

The other options do not have equivalent representations of decimals, fractions, and percentages.

In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.

Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).

To learn more about decimal here:

https://brainly.com/question/1736596

#SPJ4

Step-by-step explanation:

4y - 7 +2y = -3y + 3 - 1

4y -7 +2y' = -3y + 2

4y+2y+3y = 2+7

9 y = 9

y. = 1

Answer:

1.5

Step-by-step explanation:

Let the value be x,

(3/4) = 50% * x

x = 1.5

Thenks and mark me brainliest :))

A).  (P-.75 and 1-P-25) is the correct option. If the predicted odds of buying are 3:1

This is a bit of a tricky question, but I will do my best to give you a long answer that explains the different components at play here. First, let's start with the term "predicted odds of buying." This term refers to the likelihood that someone will make a purchase based on some kind of analysis or prediction. In this case, the odds are given as 3:1, which means that for every 3 people who are predicted to buy, 1 person is predicted not to buy.

Option A (P-.75 and 1-P-25) refers to the probabilities of buying (P) and not buying (1-P), and suggests that the probability of buying is 0.75 (or 75%) and the probability of not buying is 0.25 (or 25%). Option B (OP-25 and 1-D-75) is similar, but uses the term "OP" instead of "P." It also suggests that the probability of not buying is 0.75 (or 75%) and the probability of buying is 0.25 (or 25%).

Finally, option C (None of the Above) suggests that neither of the previous options are correct.
The answer is actually option A (P-.75 and 1-P-25). This is because the odds of buying (3:1) can be converted into probabilities by dividing the number of predicted buyers by the total number of predicted buyers and non-buyers. In this case, there are 3 predicted buyers for every 1 predicted non-buyer, so the probability of buying is 3/4 (or 0.75) and the probability of not buying is 1/4 (or 0.25).

To know more about predicted odds:

https://brainly.com/question/31911056

#SPJ11

From the steps shown in the table given, we can conclude that: D. in solving the equation, the subtraction property of equality was not applied.

If a + b = c, to apply the subtraction property of equality so that b is moved to the other side of the equation, we would have:

a + b - b = c - b

a = c - b

Thus, from the table given, the none of the steps showed that the subtraction property of equality was applied in solving the equation, so, the answer is: D.

Learn more about the subtraction property of equality on:

https://brainly.com/question/1601404

#SPJ1

The probability that it is gold is (1/3).

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.

Let A be the event that a gold marble is picked.

Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.

Given: P (B₁ ) = 2.P(B₂)

Also, P(B₁) + P(B₂) = 1

∴ 2P(B₂) + P(B₂) =1

3P(B₂) = 1

P(B₂) = 1/3 and  P(B₁) = 2/3

Now

P(A)

= P(A∩(B₁∪B₂))

= P[(A∩B₁)∪(A∩B₂)]

Probability adds up because the events are mutually exclusive

= P(A∩B₁) + P(A∩B₂)

= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)

= (2/3)×(3/16) + (1/3)×(15/24)

= (1/3)

To learn more about probability, visit:

https://brainly.com/question/1969972

#SPJ4

Sally purchased 7 pieces of orange .

Conversion applied :

1 dollar = 100 cents

Cost of 1 piece of orange = 51 cents

Cost of 1 piece of apple = 42 cents

Let pieces of orange purchased be x .

⇒ pieces of apples purchased = 11 - x .

The following linear equation becomes ,

51 x + 42 ( 11 - x ) = 5.25 * 100

Solving linear equation in 1 variable given above ,

9 x = 63

x = 7

⇒ no. of oranges purchased = 7

Therefore Sally purchased 7 pieces of orange .

To learn more on linear equations follow link :

https://brainly.com/question/24085666

#SPJ4

it is 1 1/2

the answer is 1 1/2

Answer:( D ) 1 1/2

Step-by-step explanation:

Rectangular area A = 28 ft x 18 ft

. A = 504 ft2

Quarter paint area Q = 85 ft2

Then divide A/Q = 5.92 = 5 + 0.92

In consecuence are needed 5 quarters of paint, that costs

5x 12.50 = 62.5

Add a fraction of 0.92 ,that costs. 0.92 x12.50 = 11.5

Then Carrie have to pay

62.5 + 11.5 = 74

Answer is $ 74 dollars

Answer:

64

Step-by-step explanation:

x + 5(x + 2)​

Distribute

x + 5x+10

Combine like terms

6x+10

Let x = 9

6(9) +10

54+10

64

Answer:-10/13

Step-by-step explanation: