Isabella recently opened her online candle shop, Spectacular Scents. Her sales in the first
week were $86. After advertising her new shop on social media, her sales increased by 20%
the following week and continued to increase at that rate.
Write an exponential equation in the form y = a(b)* that can model Isabella's weekly sales, y,
x weeks after opening her shop.
Use whole numbers, decimals, or simplified fractions for the values of a and b.

Answers

Answer 1

Answer:

Step-by-step explanation:

Isabella Recently Opened Her Online Candle Shop, Spectacular Scents. Her Sales In The Firstweek Were

Answer 2

The required exponential equation that can model Isabella's weekly sales, y, x weeks after opening her shop is y = 86 * (1.20)ˣ.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).

Let's let the variable x represent the number of weeks after opening the shop, and let y represent the weekly sales in dollars. We know that in the first week, her sales were $86. After that, her sales increased by 20% each week. This means that her sales in the second week were,

We can see that her sales are increasing by a factor of 1.20 each week. This means that we can model her sales using an exponential equation of the form:

y = a * (1.20)ˣ

Where a is the amount of the initial sales in the first week (which we know is $86).

So the exponential equation that can model Isabella's weekly sales, y, x weeks after opening her shop is:

y = 86 * (1.20)ˣ

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Related Questions

in a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the

Answers

In a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the random sampling.

Each sample has an equal chance of being chosen as part of the sampling technique known as random sampling. A randomly selected sample is intended to be a fair representation of the entire population.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

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find the value of the linear correlation coefficient r.

Answers

To find the value of the linear correlation coefficient r, you need to have two variables and their corresponding data sets.

The formula for the linear correlation coefficient r is as follows:

$$$r = \frac{n\sum xy - \sum x\sum y}{\sqrt{n\sum x^2 - (\sum x)^2} \sqrt{n\sum y^2 - (\sum y)^2}}$$$

Where n is the number of data points, x and y are the two variables, and Σ represents the sum of the data. To calculate r, you need to calculate six sums: Σx, Σy, Σxy, Σx2, Σy2, and n.Let's go through an example.

Suppose you have the following data sets for two variables x and y:

$$x: 1, 2, 3, 4, 5$$$$

y: 2, 4, 6, 8, 10$$

First, calculate the six sums:

$$\Sigma x = 1 + 2 + 3 + 4 + 5 = 15$$$$\Sigma y = 2 + 4 + 6 + 8 + 10 = 30$$$$\Sigma xy = (1)(2) + (2)(4) + (3)(6) + (4)(8) + (5)(10) = 110$$$$\Sigma x^2 = (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 = 55$$$$\Sigma y^2 = (2)^2 + (4)^2 + (6)^2 + (8)^2 + (10)^2 = 220$$$$n = 5$$

Now, substitute these values into the formula for r:

$$r = \frac{(5)(110) - (15)(30)}{\sqrt{(5)(55) - (15)^2} \sqrt{(5)(220) - (30)^2}}$$

$$r = \frac{550 - 450}{\sqrt{275 - 225} \sqrt{1100 - 900}}$$

$$r = \frac{100}{\sqrt{50} \sqrt{200}}$$

$$r = \frac{100}{\sqrt{10000}}$$

$$r = \frac{100}{100}$$

$$r = 1$$

Therefore, the linear correlation coefficient r is 1.

This indicates a perfect positive linear relationship between x and y.

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To find the value of the linear correlation coefficient r, you need to first calculate the covariance and standard deviation of the two variables.

The formula for the linear correlation coefficient r is:

$$$r = \frac{\text{cov}(X,Y)}{\sigma_X \sigma_Y}$$$

where cov(X,Y) is the covariance of X and Y, σX is the standard deviation of X, and σY is the standard deviation of Y.

Here are the steps to calculate the linear correlation coefficient r:

Step 1: Calculate the mean of X and Y.

$$$ \begin{aligned}\overline X &= \frac{1}{n}\sum_{i=1}^{n} X_i\\ \overline Y &= \frac{1}{n}\sum_{i=1}^{n} Y_i\end{aligned} $$$

Step 2: Calculate the deviations of X and Y from their respective means. $$$\begin{aligned}d_i(X) &= X_i - \overline X\\ d_i(Y) &= Y_i - \overline Y\end{aligned}$$$

Step 3: Calculate the sum of the products of the deviations.

$$$S_{xy} = \sum_{i=1}^{n} d_i(X) d_i(Y)$$$

Step 4: Calculate the covariance of X and Y.

$$$ \text{cov}(X,Y) = \frac{S_{xy}}{n-1} $$$

Step 5: Calculate the standard deviation of X and Y.

$$$ \begin{aligned}\sigma_X &= \sqrt{\frac{\sum_{i=1}^{n} (X_i - \overline X)^2}{n-1}}\\ \sigma_Y &= \sqrt{\frac{\sum_{i=1}^{n} (Y_i - \overline Y)^2}{n-1}}\end{aligned}$$$

Step 6: Calculate the linear correlation coefficient r.

$$$r = \frac{\text{cov}(X,Y)}{\sigma_X \sigma_Y}$$$

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Determine the
percent of the population for the following given that mu = 100 and
sigma = 15 Draw a picture and record the values, showing your
work
C. X ≥ 124.75

Answers

We can use the standard normal distribution table or calculate the z-score and find the corresponding area under the curve. The percentage of the population for X ≥ 124.75 is approximately 3.86%.

To find the percentage of the population for X ≥ 124.75, we need to calculate the z-score, which represents the number of standard deviations an observation is from the mean. The formula for the z-score is:

z = (X - μ) / σ

In this case, X is 124.75, μ is 100, and σ is 15. Plugging in these values, we get:

z = (124.75 - 100) / 15 = 1.65

Using the standard normal distribution table or a calculator, we can find the area under the curve to the right of the z-score of 1.65. The area represents the percentage of the population for X ≥ 124.75.

From the standard normal distribution table, we find that the area to the right of the z-score 1.65 is approximately 0.0495. Multiplying this by 100, we get 4.95%.

However, since we are interested in X ≥ 124.75, we need to consider the area to the left of the z-score of 1.65 and subtract it from 1. This gives us:

1 - 0.0495 = 0.9505

Multiplying 0.9505 by 100, we find that the percentage of the population for X ≥ 124.75 is approximately 95.05%. Therefore, the percentage of the population for X ≥ 124.75 is approximately 3.86%.

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Complete the following problems. It is over everything we've done the last few days. Take your time.
Make sure you insert your equation when having to write equations.
Question 3
5 pts
In 2015, 2200 students attended Polaris High School. The enrollment has been
declining 2% annually. If this trend continues, estimate how many students will be
enrolled in 2030.(Remember it is people that you have.)

Answers

Answer:

Welcome to Gboard clipboard, any text you copy will be saved here.

Find parametric equation for the tangent line to the curve given by x(t)=e^-t cos(t), y(t) =e^-t sin(t), z(t)=e^-t and point p(1,0,1)

Answers

The parametric equation for the tangent line to the curve is x = 1 - t, y = t, z = 1 - t.

For this question,

The curve is given as

x(t)=e^-t cos(t),

y(t) =e^-t sin(t),

z(t)=e^-t

The point is at (1,0,1)

The vector equation for the curve is

r(t) = { x(t), y(t), z(t) }

Differentiate r(t) with respect to t,

x'(t) = -e^-t cos(t) + e^-t (-sin(t))

⇒ x'(t) = -e^-t cos(t) - e^-t sin(t)

⇒ x'(t) = -e^-t (cos(t) + sin(t))

y'(t) = - e^-t sin(t) + e^-t cos(t)

⇒ y'(t) = e^-t ((cos(t) - sin(t))

z'(t) = -e^-t

Then, r'(t) = { -e^-t (cos(t) + sin(t)), e^-t ((cos(t) - sin(t)), -e^-t }

The parameter value corresponding to (1,0,1) is t = 0. Putting in t=0 into r'(t) to solve for r'(t), we get

⇒ r'(t) = { -e^-0 (cos(0) + sin(0)), e^-0 ((cos(0) - sin(0)), -e^-0 }

⇒ r'(t) = { -1(1+0), 1(1-0), -1 }

⇒ r'(t) = { -1, 1, -1 }

The parametric equation for line through the point (x₀, y₀, z₀) and parallel to the direction vector <a, b, c > are

x = x₀+at

y = y₀+bt

z = z₀+ct

Now substituting the (x₀, y₀, z₀) as (1,0,1) and <a, b, c > into x, y and z, respectively to solve for the parametric equation of the tangent line to the curve, we get

x = 1 + (-1)t

⇒ x = 1 - t

y = 0 + (1)t

⇒ y = t

z = 1 + (-1)t

⇒ z = 1 - t

Hence we can conclude that the parametric equation for the tangent line to the curve is x = 1 - t, y = t, z = 1 - t.

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Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample? a. magnitude statistics b. central tendency c. inferential statistics d. effect size

Answers

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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write the next three terms of the arithmetic sequence.
5/6, 2/3, 1/2, 1/3, _, _, _,

i will mark as brainliest

Answers

The next terms are 1/6, 0, & -1/6.

Ivan received 5/7
of the 49 votes cast for class secretary. How many votes did he receive?
Write your answer in simplest form.

Answers

35 I think but I could be wrong

Ori needed at least $1.47 in postage to mail an envelope to his cousin overseas. If x represents the number of $0.44 cent stamps he has and y represents the number of $0.10 cent stamps he has, the inequality representing the number of stamps he can use to mail the envelope is 0.44x+0.10y≥1.47. If Ori uses all 3 of the $0.44 cent stamps he has, what is the minimum number of $0.10 stamps he needs to use?

Answers

The minimum number of $0.10 stamps he needs to use is 1 stamp.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

let x represents the number of $0.44 cent stamps

and, y represents the number of $0.10 cent stamps

Ori uses all 3 of the $0.44 cent

=0.44x3

= 1.32

Then, 1.47-1.32= 0.15

We have at least 2 dimes for the equation

=0.44(3)+0.10(2)≥1.47

= 1.32+0.20≥1.47

= 1.52≥1.47

Then, number of $0.10 stamps he needs to use

= 0.15/ 0.10

= 1.5

= 2 or 1 stamps

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Answer:

Step-by-step explanation:

What is the value of x in the proportion below? 1/2 /4 = x/28 O 3 1/2 O 7 1/2 O 14 O 56 PLEASE HELP ITS URGENT

Answers

Answer:

Step-by-step explanation:

Answer:

A 3 1/2

Step-by-step explanation:

There are a number of ways that you can solve this

Method 1)

Since these proportions are set equal to each other, we know that x is also equivalent to 1/2. So, we need to find the whole-number that was multiplied by the first fraction (1/2/4) that gave us the second fraction (x/28).

So we need to divide the denominators

28/4 = 7

Now that we have that number, we will mutiply 1/2 by it because we know that whatever x is the 1/2 times 7 since 28 is 4*7:

1/2 * 7 = 3.5 or 3 1/2, so 3 1/2 is our answer...

Another way that we can solve this is by using the cross product (butterfly method)

Method 2)

Multiply 28 by 1/2 = 14.

Now we will divide 14 by 4. 14/4 = 3.5

3.5 = 3 1/2, so that is our answer.

why is h²=p²+b²plz somebody help me

Answers

Answer:

This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.

In other words, C²=B²+A²

Which are perfect square trinomials? Select two options.

x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36

Answers

Step-by-step explanation:

An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)

Answer:

x2 − 4x + 4

x2 + 10x + 25

Step-by-step explanation:

The measure of an angle is 34 greater than its supplement. Find the measure of both angles

Answers

Let the angle be X degree.

Then it’s supplement is (189-X) degree

Given that , Angle - supplement = 30

Or , X- 180-x)=30

or , X- 180 + X = 30

2X - 180 = 30

X=30+180/2

X=210/2

X=105

Now ,

180-X=180–105=75

Hence , the angles are 105 and 75 degrees.

a rocket is fired from the gorund at a n angle of 1.02 radians. suppose the rocket has rtraveled 435 yards since it was launched. Draw a diagram and label the values that you know. a) How many yard has rocket travelled horizontally from where it was launched?
b) What is the rocket's height above the ground

Answers

A rocket is launched from the ground at an angle of 1.02 radians and has traveled 435 yards. The task is to determine the horizontal distance traveled by the rocket and its height above the ground.

The diagram of the situation can be drawn using the given information. The angle of launch can be labeled as 1.02 radians, and the horizontal distance traveled can be labeled as 435 yards. We need to determine the horizontal and vertical components of the rocket's displacement.

The horizontal displacement is the distance traveled by the rocket parallel to the ground, and it can be determined using the formula:

Horizontal displacement = Distance traveled x cos(angle of launch)

Substituting the given values, we get:

Horizontal displacement = 435 x$cos(1.02)$ = 435 x 0.454 = 197.49 yards (rounded to two decimal places)

The vertical displacement is the change in the height of the rocket from the ground. It can be determined using the formula:

Vertical displacement = Distance traveled x sin(angle of launch)

Substituting the given values, we get:

Vertical displacement = 435 x sin(1.02) = 435 x 0.891 = 388.19 yards (rounded to two decimal places)

Therefore, the rocket has traveled 197.49 yards horizontally from where it was launched, and its height above the ground is 388.19 yards.

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Which set of steps shows the solution to the equation 3y = -9?
Oy=-9-3; y = 6
Oy=-9 = 3; y = -3
Oy= -9 +(-3); y = 3
Oy = -9 -(-3); y = -6

Answers

Answer:

see below

Step-by-step explanation:

3y = -9

Divide each side by 3

3y/3 = -9/3

y = -3

the answer would be Oy=-9=3; y=-3

What is the name of the green segment in the hyperbola below

Answers

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Calculate the number of kilowatt-hours (kW-hrs) consumed in a week by an 850 -Watt window air conditioner that is left on all day. 0.168 kW−hrs 142.8 kW−hrs 5.95 kW-hrs 20.4 kW-hrs

Answers

The number of kilowatt-hours consumed in a week by the 850-Watt window air conditioner that is left on all day is approximately 14.28 kW-hrs.

To calculate the number of kilowatt-hours (kW-hrs) consumed by the air conditioner in a week, we need to consider the power rating of the air conditioner (850 Watts) and the duration it is left on each day.

Power of the air conditioner = 850 Watts

Duration of usage per day = 24 hours (left on all day)

Number of days in a week = 7 days

To calculate the energy consumption, we can use the formula:

Energy (kW-hrs) = Power (kW) * Time (hours)

First, let's convert the power from Watts to kilowatts by dividing it by 1000:

Power (kW) = 850 Watts / 1000 = 0.85 kW

Now we can calculate the energy consumption in a week:

Energy (kW-hrs) = Power (kW) * Time (hours)

Energy (kW-hrs) = 0.85 kW * 24 hours/day * 7 days

Energy (kW-hrs) = 14.28 kW-hrs

Therefore, the number of kilowatt-hours consumed in a week by the 850-Watt window air conditioner that is left on all day is approximately 14.28 kW-hrs.

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To change the contents of a macro, you must use the Record Macro button to step into the macro.
True of False?

Answers

The given statement "To change the contents of a macro, you must use the Record Macro button to step into the macro" is false because one can use other options such open the Visual Basic Editor .

To change the contents of a macro,

It is not necessary we have to use the Record Macro button to step into the macro.

Here one can also open the Visual Basic Editor instead of record Macro button.

In the Visual Basic Editor Project Explorer window.

First we have to open the project folder

And then in the Modules folder we have to select Recorded.

Finally select the module that has the name of the macro.

Here the recorded macro code is going to displayed in the code window.

First one can find the macro in the project window, and then edit the code directly.

Alternatively, one can use the Macro dialog box to have a view and to edit the macro.

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PLS HELP THIS IS DUE TODAY!!!!!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS OR YOU WILL BE REPORTED!!!!!!!
I AM GIVING BRAINLIEST!!!!!!!!!!!!!!

Answers

Should be A I’ll show you what I did though it might not make sense because I kind of did it in a weird way but yeah that answer should be A hope this helps :)

Answer:

Step-by-step explanation:

Start by multiplying everything by 320, so that the y gets a unit factor:

$\frac{320}{16}x + \frac{320}{320}y - 29\cdot320 = 0$

simplify

$20x + y - 9280 = 0$

Now isolate y on the left:

$y = 9280 - 20x$

Change the equation y= in to a function of x:

$f(x) = 9280 - 20x$

Perform the following base conversions using subtraction or division-remainder: c) 65210 = ________ 7

Answers

Using subtraction, we get 2723237 in base 7 as the answer.

To convert 65210 to base 7 using subtraction, we can follow these steps:

1. Start with the largest power of 7 that is less than or equal to 65210. In this case, that is 7^4 = 2401.

2. Divide 65210 by 2401 to get the quotient and remainder:

65210 ÷ 2401 = 27 with a remainder of 1363

3. Write down the quotient (27) and use the remainder (1363) to repeat steps 1-2 until the remainder is 0:

1363 ÷ 343 = 3 with a remainder of 112

112 ÷ 49 = 2 with a remainder of 14

14 ÷ 7 = 2 with a remainder of 0

4. Write down the remainders in reverse order to get the base 7 equivalent of 65210:

65210 = 2723237 in base 7.

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which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105

Answers

Answer:

B. 17/102,27/108 do not for proportion

given the functions f(x)=1x−2 1 and g(x)=1x 5 9. which statement describes the transformation of the graph of function f onto the graph of function g?
A.The graph shifts 8 units left and 7 units up.
B.The graph shifts 8 units right and 7 units down.
C.The graph shifts 7 units left and 8 units up.
D.The graph shifts 7 units right and 8 units down.

Answers

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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find the value of each trigonometric ratio

Answers

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

The triangle is ΔABC

tan A = opposite side / adjacent side