On April 10 Brenda Agoyo deposited $2,125.36 in a savings account that pays 5.5% interest compounded daily. How much interest will the money earn in 31 days.

The five number summary you wrote out is correct.

The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).

The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.

The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16

Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.

The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.

I used GeoGebra to create the box-and-whisker plot.

Answer:

The data and 5-number summary is given.

Based on the 5 numbers we have the attached box-and-whisker plot.

The graph that shows data in intervals is the: B. histogram.

An histogram is a graph which is used to visualize data in intervals, as rectangular bars. The image attached below is a typical example of an histogram. The graph shows the data in intervals.

A frequency table can also show a set of data that are given in intervals, however, it is not a graph. It can rather be used to create graphs that have intervals, such as a histogram.

Line plot and stem-and-leaf plot are both graphs that show individual data points rather than show the data in intervals.

The answer is therefore: B. histogram.

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The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Answer:

The value of the 4 in 2,849 is 4 x 100 = 400, while the value of the 4 in 3,824 is 4 x 10 = 40. Therefore, the value of the 4 in 2,849 is 400/40 = 10 times greater than the value of the 4 in 3,824.

Step-by-step explanation:

Answer: 11 people like vanilla.

Step-by-step explanation: There are 50 people in this question. Since 22% of them like vanilla, multiply 0.22 and 50. That gives you 11. Therefore, 11 people out of 50 like vanilla.

Answer:

(a) \(\hat y=69.04-0.083\cdot x\)

(b) D. For every unit increase in commute​ time, the index score falls by 0.083​, on average.

Step-by-step explanation:

(a)

Form the least-squares regression line using Excel as follows:

Go to Data → Data Analysis → Regression

A dialog box will open.

Select the X and Y variable.

Press Ok.

The regression output is attached below.

The least-squares regression line is:

\(\hat y=69.04-0.083\cdot x\)

(b)

The slope of a regression line is the average rate of change in the dependent variable (y) with 1 unit change in the independent variable (x).

Here the slope value is -0.083. This value implies that with 1 minute change in the commute times the Well-Being Index​ Score falls by 0.083 units.

The intercept of a regression line is the average value of the dependent variable (y) when the independent variable (x) value is 0.

Here, the intercept value is 69.04. This value implies that for a person with commute time 0, their Well-Being Index​ Score is 69.04.

The correct option is:

D. For every unit increase in commute​ time, the index score falls by 0.083​, on average.

The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Step-by-step explanation:

=23.6

\(v = \pi {r}^{2} \frac{h}{3} = \pi {1.5}^{2} \frac{10}{3} = 23.56 \: {yd}^{3} \)

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²

The answer is (A) $128.82.

First, let's calculate the cost of the items before any discounts or taxes:

Physical Store:

2 packs of batteries at $5.99/pack = $11.98

1 stereo system at $100.00 = $100.00

3 CDs at $7.95/CD = $23.85

Total cost before discount and tax = $135.83

Online Store:

2 packs of batteries at $4.99/pack = $9.98

1 stereo system at $90.00 = $90.00

3 CDs at $8.95/CD = $26.85

Total cost before discount and shipping = $126.83

Now let's apply the discounts and taxes:

Physical Store:

10% discount on total cost before tax = $13.58 discount

5% sales tax on remaining total cost = $6.10 tax

$135.83 - $13.58 + $6.10 = $128.35 total cost

Online Store:

$5.00 off coupon = $5.00 discount

$6.99 flat rate shipping fee = $6.99 shipping

$126.83 - $5.00 + $6.99 = $128.82 total cost

Therefore, the answer is  $128.82.

In mathematics, a discount is a reduction in the price or value of something, typically expressed as a percentage of the original price or value.

For example, if the original price of an item is $100 and there is a 20% discount, the discounted price would be $80 (i.e. the original price minus 20% of the original price).

Discounts are commonly used in commerce and economics, and are often used to incentivize consumers to purchase goods or services. They can also be used in financial calculations, such as the calculation of the present value of future cash flows.

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Answer:120

Step-by-step explanation: If the smaller number of the ratio is 24 that means the 1 is multiplied by 24 to reach the smaller share of 24. We then multiply 24 with 4 to get the number 96. Lastly you add 96 with 24 to get the total number of marbles

Answer:

the slope is -7/6 but i am not sure how to graph it for you i am sorry.

the first point you move left 2, up 6. the second point you move left 1 and up 4. from there use the slope to connect the points.

Step-by-step explanation:

Answer: He could be 47 or 46

Step-by-step explanation: I need the exact date of the time he was born (just the month and the day) to tell you how old he really is, but with the information given, he could be 47 or 46.

He would be 47 years                       \(1945\\-\\1898\\=\\47\\\)

Answer:

B. g(x)=(2x)^2

Step-by-step explanation:

this is right

Answer:

80

Step-by-step explanation:

1/10 = 10% = 0.1

0.1 x 8 = 0.8 = 80%

Given:

The gradient of the curve is x-3.

a) To find the gradient of tangent at point P,

So, the gradient of function at point P is -1.

b) To find the equation of the curve integrate the equation (1)

For point P,

Answer: the equation of curve is,

Answer:

The numerical coefficient in the expression 4x2y−23xy+25xy2 is 4,2−3,25 respectively

The numerical coefficient in the expression 3−5x2y+47xyz+3 is 3−5,47 respectively.

3 is a constant term.

Option (a) is correct.

statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.

Given that,

The given equation are

y=2x-13     ........(1)

2x+6y=-8    ........(2)

Solve the equation by elimination method

From equation (1)

y-2x = -13

From equation (2)

Now,

y-2x = -13

6y+2x = -8

adding both equation

7y = -21

y = -3

substitute the value of y in equation (1)

y = 2x-13

-3 = 2x-13

-3+13 = 2x

2x = 10

x = 5

Hence, The coordinate (5,-3) is a solution to both equations.

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Answer:

The area of the circle is 531.14 square unis

Step-by-step explanation:

Area of a circle = \(\pi\)\(r^{2}\)

where r is the radius of the circle

Given that the diameter of the circle = 26 units, the radius can be determined by;

r = \(\frac{diameter}{2}\)

 = \(\frac{26}{2}\)

r = 13 units

So that,

Area of the circle = \(\frac{22}{7}\) x \((13)^{2}\)

                             = \(\frac{22}{7}\) x 169

                             = 531.1429

The area of the circle is 531.14 square unis.

Step-by-step explanation:

absolutely. there is no mathematical problem to solve.

just do what the instructions tell you.

that is an exercise for you to get a feeling what is what.

Then x = -3.5, correct step to find x and y is to add the equations to eliminate x.

To find the values of x and y from the given equations, we need to use a method to eliminate one of the variables. In this case, we can use the method of adding the equations to eliminate x. Adding the two equations gives us:

y + y = x + 15 - x + 8

Simplifying the above equation gives us:

2y = 23

Therefore, y = 11.5

Substituting the value of y in any of the given equations, we can find the value of x. Using the equation y = x + 15, we have:

11.5 = x + 15

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Multiply 120 by 18%

Change 18% to a decimal: 0.18

120 x 0.18 = 21.6

Answer: 21.6

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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The original amount of the sale is $165

The given parameters are:

Bill after discount = $140

Discount = 15%

The original amount of the sale is calculated as:

Bill after discount = original amount * (1 - Discount)

So, we have:

140 = original amount * (1 - 15%)

This gives:

140 = original amount * 0.85

Divide by 0.85

Original amount = 165

Hence, the original amount of the sale is $165

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Answer:

1) $68.40

2)456 tickets

Step-by-step explanation:

1)

They need to raise $8,250.

They have already raised $3,120.

The amount they have still to raise is $8,250-$3,120=$5,130.

There are 75 band members, so the amount yet to raise per member is $5,130/75=$68.40.

2)

The businesses give $0.50 for every $1 in ticket sales, ie. they pay an extra 50% of the total.

Let number of tickets sold=x

Let money made from ticket sales = 7.5x

The total amount of money made is therefore 1.5(7.5x)=11.25x

The minimum amount of tickets to hit $5,130:

$5,130=11.25x

x=456

Answer:

This other number is 35. Hope this helps:)

Answer:

35

Step-by-step explanation:

Given that :-

Let :-

According to the Question :-

\(:\implies\) x + 35 = 70

\(:\implies\) x = 70 - 35

\(:\implies\) x = 35

Answer:

It's b

Step-by-step explanation: