Zachary purchased a computer for $1200 on a payment plan three months after he purchased a computer his balance was $795. six months after he purchased a computer his balance was $390 what is the equation that models the balance y after X months

Answer: 2080

Step-by-step explanation:

62² −42²

3844−42²

3844−1764

2080

The Taylor polynomial T3(x) for the function f centered at the number a is 1, -1.

To find the slope of the tangent line to the curve at a given point, we need to find the derivative of the curve and evaluate it at that point. So, let's find the derivative of the curve x(t) = cos^3(4t), y(t) = sin^3(4t):

x'(t) = 3cos^2(4t) * (-sin(4t)) * 4 = -12cos^2(4t)sin(4t)

y'(t) = 3sin^2(4t) * cos(4t) * 4 = 12sin^2(4t)cos(4t)

Now, let's evaluate these derivatives at t = pi/6:

x'(pi/6) = -12cos^2(2pi/3)sin(2pi/3) = -6sqrt(3)

y'(pi/6) = 12sin^2(2pi/3)cos(2pi/3) = 6sqrt(3)

So, the slope of the tangent line at t = pi/6 is:

y'(pi/6) / x'(pi/6) = (6sqrt(3)) / (-6sqrt(3)) = -1

Therefore, the answer is option 1, -1.

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The characteristics of the coefficient of variation are:

(a) It adjusts for differences in the

magnitude of means.

(c) It allows for direct comparisons across different

data sets.

The coefficient of variation (CV) is a statistical measure that expresses the relative variability of a dataset. It is calculated by dividing the standard deviation of the data by the mean and then multiplying by 100 to express it as a percentage.

(a) The coefficient of variation adjusts for differences in the magnitude of means. This means that it takes into account the scale or magnitude of the mean value when measuring the variability. By dividing the standard deviation by the mean, the

CV

provides a normalized measure of variability that can be used to compare datasets with different mean values.

(c) The coefficient of variation allows for direct comparisons across different data sets. Since the CV is expressed as a percentage, it provides a standardized measure of variability that can be used to compare datasets regardless of the

units of measurement

. This makes it particularly useful when comparing variability in datasets with different scales or units.

(d) It is important to note that the coefficient of variation is not a measure of central location. It is a measure of

relative variability

and does not provide information about the central tendency or location of the data.

Therefore, the characteristics of the coefficient of variation are that it adjusts for differences in the

magnitude

of means and allows for direct comparisons across different data sets. It is not a measure of central location and does not have the same units of measurement as the observations.

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Answer:

Step-by-step explanation:

5<y

Answer:

the top

Step-by-step explanation:

the bottom is the classic parabola which is a 2nd degree polynomial it has just been translated left and down but the degree remains the same. the top shows a function with many more inflection points characteristic of odd nth degree polynomial equations

Answer:

first option in the photo

Step-by-step explanation:

that would be C on edg 2021

Answer:

Edge length of the cube = 27 m

Dimensions of the box is length = 135 m, width = 81 m, height = 27 m

Step-by-step explanation:

The box contains 15 identical cubes therefore, we have

Edge length of cube = Side, s, of cube

15 × s³ = 295245 m³

∴ s³ = 295245/15 = 19683 m³

s = ∛19683 = 27 m

Hence the edge length of the cube = 27 m

The dimension of the box is length =  5 × 27 = 135 m

Width = 3 × 27 = 81 m

height = 27 m.

Answer:

I and II

Step-by-step explanation:

So we have the inequality:

\(1<4x-3\)

Let's solve for this. Add 3 to both sides:

\(4<4x\)

Divide both sides by 4:

\(1<x\)

Flip:

\(x>1\)

In other words, our answer is all numbers greater than 1.

9 is greater than 1.

4 is also greater than 1.

1 is not greater than 1.

So, our answer is only I and II.

And we're done!

The probability that the hotel receives at least one of the defective sets is 99.59%

To find the probability that the hotel receives at least one defective set, we can use the concept of complementary probability.

The probability of the hotel receiving at least one defective set is equal to 1 minus the probability of the hotel receiving no defective sets.

The probability of the hotel receiving no defective sets can be calculated as the ratio of the number of ways to choose 6 non-defective sets out of the total number of ways to choose any 6 sets.

The total number of ways to choose 6 sets from the shipment of 13 sets is given by the binomial coefficient C(13, 6).

The number of ways to choose 6 non-defective sets from the remaining 13 - 6 = 7 non-defective sets is given by the binomial coefficient C(7, 6).

Therefore, the probability of the hotel receiving no defective sets is:

P(no defective sets) = C(7, 6) / C(13, 6)

To find the probability of receiving at least one defective set, we subtract this probability from 1:

P(at least one defective set) = 1 - P(no defective sets)

Calculating the values:

C(7, 6) = 7

C(13, 6) = 1716

P(no defective sets) = 7 / 1716

P(at least one defective set) = 1 - 7 / 1716

Therefore, the probability that the hotel receives at least one defective set is approximately:

P(at least one defective set) ≈ 1 - 0.0041 ≈ 0.9959 or 99.59%

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Answer:

add then simplify

Step-by-step explanation:

Answer:

Tim spends 59/110 less time at the theatre

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

the answer is -11 sir

Step-by-step explanation:    Let's solve your equation step-by-step.

5+x−2=−8

Step 1: Simplify both sides of the equation.

5+x−2=−8

5+x+−2=−8

(x)+(5+−2)=−8(Combine Like Terms)

x+3=−8

x+3=−8

Step 2: Subtract 3 from both sides.

x+3−3=−8−3

x=−11

Answer:

1.41

Step-by-step explanation:

Answer:

Use the pythagorean theorem,

a^2+b^2=c^2

1^2+1^2=c^2

1+1=c^2

2=c^2

2=2

Square root of 2 is 1.41 (approximately)

c=1.41

Step-by-step explanation:

Answer: C

The radius of the inscribed circle of AHJK is equal to the inradius of the triangle, which is denoted as r.

Since P is the incenter of the triangle, the inradius is equal to the distance from P to each of the sides of the triangle. Let's call these distances a, b, and c.

You know that LP = 4x + 10 and MP = 8x - 2. The length of the inradius can be expressed as:

r = (a+b-c)/2

You can now use this equation and the given information to solve for r.

Since LP is the distance from P to side L, we can set a = 4x + 10.

Since MP is the distance from P to side M, we can set b = 8x - 2.

Substituting these values into the equation for r, you get:

r = ((4x + 10) + (8x - 2) - c) / 2

= (12x + 8 - c) / 2

You can simplify this to:

r = 6x + 4 - c/2

Thus, the radius of the inscribed circle of AHJK is equal to 6x + 4 - c/2. To find the exact value of the radius, you need to know the value of c.

The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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Answer:

A.

Step-by-step explanation:

The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data.

The price elasticity of demand (PED) for the logo T-shirts is 1.67, indicating that the demand for T-shirts is elastic. Lowering the price from $15 to $10 increased the total revenue, suggesting that the T-shirt made a good decision in lowering the price. This is because the price change led to a significant increase in quantity demanded and overall revenue.

To calculate the price elasticity of demand (PED), we can use the following formula:

PED = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

Given that Q1 = 25, Q2 = 50, P1 = $15, and P2 = $10, we can substitute these values into the formula:

PED = ((50 - 25) / ((50 + 25) / 2)) / (($10 - $15) / (($10 + $15) / 2))

Simplifying this expression:

PED = (25 / 37.5) / (-5 / 12.5)

PED = (-2/3) * (-2.5) = 1.67

The price elasticity of demand (PED) for the logo T-shirts is 1.67.

Since PED is greater than 1, it indicates that the demand for T-shirts is elastic. This means that a decrease in price by 1% will result in a greater than 1% increase in quantity demanded. To determine if lowering the price was a good decision, we can analyze the effect on total revenue. The price-total revenue test states that:

If PED is elastic (greater than 1), a decrease in price will lead to an increase in total revenue.

If PED is inelastic (less than 1), a decrease in price will lead to a decrease in total revenue.

If PED is unit elastic (equal to 1), a change in price will have no effect on total revenue.

Let's calculate the total revenue at both prices:

Total Revenue at $15 = $15 * 25 = $375

Total Revenue at $10 = $10 * 50 = $500

Comparing the total revenue at each price, we can see that lowering the price from $15 to $10 increased the total revenue from $375 to $500. Therefore, the T-shirt made a good decision in lowering the price because it led to an increase in total revenue.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Hrishik worked 13 hours and Jatan worked 26 hours in the given week.

Assume that Hrishik puts in x hours per week at his job. The issue states that because Jatan works two times as many hours as Hrishik does each week.

If they both put in 39 hours a week, we can construct the following equation:

x + 2x = 39

combining comparable phrases

3x = 39

by 3 and dividing both sides:

x = 13

As a result, Hrishik puts in 13 hours per week while Jatan puts in twice that amount, or 2 x 13 = 26 hours per week. As a result, throughout the specified week, Hrishik worked 13 hours and Jatan 26.

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Answer:

Step-by-step explanation:

To find the breadth use Pythagorean theorem

Breadth² = diagonal² - length²

               = 34² - 30²

               = 1156 - 900

               = 256

Breadth = √256 = 16 cm

Breadth = 16 cm

Perimeter = 2*(length + breadth) = 2*(30 + 16) = 2*46 = 92 cm

Area = length * breadth = 30 *16 = 480 cm²

S O L U T I O N:

Let's assume that the given rectangle be ABCD and in that let ∆ABC be the right angled triangle formed from it.

Now we've been asked to find out the breadth. By applying Pythagoras theorem here in our rectangle ABCD we have,

\(:\implies\tt{ {b}^{2} = {d}^{2} - {l}^{2} }\)

\(:\implies\tt{ {b}^{2} = {34}^{2} - {30}^{2} }\)

\(:\implies\tt{ {b}^{2} = 1156 - 900}\)

\(:\implies\tt{ {b}^{2} = 256}\)

\(:\implies\tt{b = \sqrt{256} }\)

\(:\implies\tt{b = 16}\)

For the formula of area (a) = ? it is given by,

\(:\implies\tt{a = l \times b}\)

\(:\implies\tt{a = 30 \times 16}\)

\(:\implies\tt{a = 480 {cm}^{2} }\)

For the formula of perimeter (p) = ? is given by,

\(:\implies\tt{p = 2 \times (l + b)}\)

\(:\implies\tt{p = 2 \times (30 + 16)}\)

\(:\implies\tt{p = 2 \times 46}\)

\(:\implies\tt{p = 92cm}\)

Answer:

To women, it was a steed upon which they rode into a new world. All this triggered a backlash from many (male) doctors and onlookers, who cited all sorts of reasons to dissuade women from riding bikes. It would lead to not only bicycle face, but also exhaustion, insomnia, heart palpitations, headaches, and depression. During the late 19th and early 20th centuries, women began to escape some of their restrictions by riding bycicles. Despite strong opposition from men, women cycled on, and the bicycle became an instrument of change that subverted the status quo and became a powerful symbol of women's emancipation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jjjjjjjjjj

Answer:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Step-by-step explanation:

Hope you understand

Answer:

Range - 8.123

Mean - 48.253

Variance - 87.285

Last one is 7.20

Step-by-step explanation:

Hey there! :)

Answer:

These two figures are similar because 5/3 equals 15/9.

Step-by-step explanation:

These figures are similar to each other, which means the side-lengths are proportional. Therefore:

\(\frac{5}{9} = \frac{15}{9}\)

Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.

Answer:

$0.15

Step-by-step explanation:

0.90/18=0.05

0.05x 3=0.15

Answer:

$0.15

Step-by-step explanation:

0.90/18=0.05

0.05x 3=0.15

A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

What is a combination of reflections?

Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.

Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.

One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.

This would take the hexagon from its original position to itself.

Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.

This would also take the hexagon from its original position to itself.

Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

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Answer:

Winston:$32,000

Fran:$48,000

1 of 4 parts is equal to 1 of 6 parts so if you add 4 parts to 6 parts you get 10. Divide the total amount by 10 and you get 8000. multiply 8000 to the amount of parts each person gets and you get that.

Answer:

2 out of 100, 2, 0.02 out of 100, and 0.02

Step-by-step explanation:

Answer:

I feel as if its 0.0002

and 2%