How many 1/16 of an inch are in 4 inches

The interest rate is 9.6%.

Interest is the amοunt οf mοney paid οr earned fοr the use οf bοrrοwed mοney οr fοr the privilege οf keeping mοney in an accοunt. It is calculated as a percentage οf the principal (οriginal amοunt) and varies depending οn factοrs such as the interest rate, the length οf the lοan οr investment, and the cοmpοunding frequency.

Tο sοlve fοr the interest rate r, we can use the fοrmula fοr cοmpοund interest:

[tex]S = P*(1 + r)^n[/tex]

where S is the final amοunt, P is the principal (initial amοunt), r is the interest rate (as a decimal), and n is the number οf cοmpοunding periοds.

Plugging in the given values, we get:

[tex]9000 = 6890*(1 + r)^3[/tex]

Dividing bοth sides by 6890:

[tex]1.306 = (1 + r)^3[/tex]

Taking the cube rοοt οf bοth sides:

1.096 = 1 + r

Subtracting 1 frοm bοth sides:

r = 0.096 οr 9.6%

Therefοre, the interest rate is 9.6%.

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The frisbee would spend 2.62 seconds in air before touching ground.

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

Let h represent the height of the frisbee after t seconds.

h = -16t² + 40t + 5

The time the Frisbee is in air is at h = 0, hence:

-16t² + 40t + 5 = 0

t = 2.62 seconds

The frisbee would spend 2.62 seconds in air

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a) Note that given the above function the height of the Frisbee each second it is in the air are:

b) The frisbee lasts  t [tex]\approx[/tex] 2.6 (s) in the air.

Recall that the function given is -16t² + 40t + 5
t=0; and h = 5

a)
Where t is 1
h = -16t² + 40t + 5

h= -16(1)² + 40(1) + 5

h= -16 + 40 + 5

h= 24 + 5

h= 29, thus, where = 1, h = 29

Using a similar sequence above, where t is
t=2; h = 21 feet; and where

t =3; h = -19

b) in this case, we must set h(t) = 0

⇒ -16t² + 40t + 5 = 0
To solve for t in the equation -16t² + 40t + 5 = 0, we can use the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = -16, b = 40, and c = 5, so substituting these values into the quadratic formula, we get:

t = (-40 ± √(40² - 4(-16)(5))) / 2(-16)

Simplifying:

t = (-40 ± √(1600 + 320)) / (-32)

t = (-40 ± √(1920)) / (-32)

t = (-40 ± 8 √(30)) / (-32)

t = (5/4) ± (√(30)/4)

Thus we have:

t = (5/4) + (√(30)/4) or t = (5/4) - (√(30)/4)

t₁ = 1.25 + (5.477225575051661134569697828008/4) or
t₂ = 1.25 - (5.477225575051661134569697828008/4)

t₁ = 1.25 + 1.369306393762915283642424457002
t₁ [tex]\approx[/tex] 2.6

t₂ = 1.25 - 1.369306393762915283642424457002

t₂ [tex]\approx[/tex] -0.119

Thus the Frisbee lasts approximatley 2.6 seconds in the air.

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Based on the data, we can infer that the difference in length after the garden increment is 4 feet on each side.

To find how much the garden increased in length and width we must carry out the following procedure:

First of all we must calculate the area of the garden:

According to this result we know that the increase is more than half in the values. Therefore, we can add 3 or more feet to each side and recalculate the area of the garden.

In this case we add 3 feet to each side and calculate the area that would give these side measurements 8 and 15. The area would be 120, you still wouldn't have enough length on the sides to have an area of 144.

In this case we add 4 feet on each side and calculate the area that would be given with these side measurements 9 and 16. The area would be 144, it would be the measurement mentioned in the statement.

Based on the above, we can infer that the rise is 4 feet on each side.

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y=mx+c

-1=2(-3)+c

-1=-6+c

-1+6=c

c=5

therefore...

y=2x+5

Step-by-step explanation:

In

The values are, ∠BCA = 65°, ∠B = 72°,  x = 3

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

Given that the diagram ABCD is a parallelogram,

So, BC = AD   (parallel sides are equal)

      2x = 6

       x = 3

BC ║ AD and AC is a transversal line,

then, ∠BCA = ∠DAC    (alternate interior angle)

∠BCA = 65°

Opposite angles are equal for parallelogram then,

∠B = ∠D

∠B = 72°

Therefore, the values are, ∠BCA = 65°, ∠B = 72°,  x = 3

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Answer: The correct solution using the quadratic formula is:

x = (-(-5) ± sqrt((-5)^2 - 4(1)(-2))) / (2(1))

Simplifying:

x = (5 ± sqrt(33)) / 2

Therefore, the exact solutions of x^2 - 5x - 2 = 0 are:

x = (5 + sqrt(33)) / 2 or x = (5 - sqrt(33)) / 2

So the final answers are:

x = 2.79 or x = 2.21 (rounded to two decimal places)

Your welcome (:

Answer:

C

Step-by-step explanation:

It was right for me

Finding the percentage of consumers who bought fewer than six flowers requires figuring out what proportion of the data is below six.  [tex]40[/tex] % of customers purchased fewer than 6 flowers.

Based on the box plot, we can see that the minimum value is 2, and the maximum value is 12. The box plot also shows that the median (50th percentile) is between 6 and 8.

To find the percent of customers who purchased fewer than 6 flowers, we need to determine what percent of the data is below 6.

From the box plot, we can see that the lower quartile (25th percentile) is at 2, and the upper quartile (75th percentile) is at 10.

Therefore, the interquartile range (IQR) is   [tex]10 - 2 = 8.[/tex]

To find the percentage of customers who purchased fewer than 6 flowers, we need to find the percentile rank of 6.

Percentile rank = ((value below target) / (total values)) x 100

Percentile rank of   [tex]6 = ((2 / 5) \times 100) = 40[/tex]%

Therefore,  [tex]40[/tex] % of customers purchased fewer than 6 flowers.

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The given question is incomplete. the complete question is given below.

Rodrigo works at a flower shop. He recorded how many flowers each customer purchased

yesterday. This box plot shows the results.

Flowers purchased

++

2

6

8

10

12

What percent of the customers purchased fewer than 6 flowers?

%

Answer:

y = -x + 9

Step by step explanation:

In order to write the equation of the line, we can write it in slope intercept form [tex]y=mx+b[/tex] where m is the slope and b is y intercept. Judging by the graph, we can see that the line is passing through (0,9) which makes that our y intercept.

To find the slope, we can count the slope using [tex]\frac{rise}{run}[/tex] or using the slope formula. For the sake of simplicity, we will count the slope, Counting the slope, we get [tex]\frac{-1}{1}[/tex] or simply [tex]-1[/tex]. Now we just have to plug our numbers into the formula.

[tex]y=-x+9[/tex]

Answer: probably a function

Step-by-step explanation:

y/8 ≤ 2 is equivalent to y ≤ 16.

Inequality in math is a statement that two expressions or values are not equal. This can be expressed using symbols such as >, <, ≥, or ≤. Inequality problems are used to solve for a variable that is not necessarily equal to a given value. An example of an inequality problem is finding the value of a variable in the equation x > 5. The solution to this problem is all real numbers greater than 5.

This is happening because when we divide both sides of the inequality y/8 by 8, we are essentially dividing both sides of the inequality by the same number. This preserves the order of the numbers and the inequality sign. So, dividing both sides by 8 results in y ≤ 16, which is the same as y/8 ≤ 2.

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Answer: The point-slope formula is given by:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

We have a point (1,2) and a slope of -5/6. Substituting these values into the point-slope formula, we get:

y - 2 = (-5/6)(x - 1)

Expanding and rearranging this equation gives:

y - 2 = (-5/6)x + (5/6)

y = (-5/6)x + (5/6) + 2

y = (-5/6)x + (17/6)

This is the equation of the line in slope-intercept form, y = mx + b, where m is the slope (-5/6) and b is the y-intercept (17/6).

Step-by-step explanation:

We can be 99% confident that the true mean expenditure per person for the entire population of visitors falls between $35.72 and $41.78.

Mean expenditure per person for the entire population of visitors refers to the average amount of money spent by each person who visited a particular place, calculated across the entire population of visitors. To calculate the mean expenditure per person, you would add up the total amount of money spent by all visitors and divide that by the total number of visitors.

To develop a 99% confidence interval (CI) to provide an estimate of the mean expenditure per person for the entire population of visitors, we can use the following formula:

CI = X ± Zα/2 * (s/√n)  

Where:

X = sample mean = $38.75

s = sample standard deviation = $6.33

n = sample size = 29

Zα/2 = critical value from the standard normal distribution for a 99% confidence level, which is 2.576

Plugging in the values, we get:

CI = 38.75 ± 2.576 * (6.33/√29)

CI = 38.75 ± 2.576 * 1.176

CI = 38.75 ± 3.031

CI = [35.72, 41.78]

Therefore, we can be 99% confident that the true mean expenditure per person for the entire population of visitors falls between $35.72 and $41.78.

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the total number of dinosaurs: George has collected 27 dinosaurs.

Multiplication is a mathematical operation that involves combining two or more numbers to find their total or product. It is a way to represent repeated addition. For example, 3 times 4 can be written as 3 x 4, which means adding 3 to itself 4 times to get a total of 12. Multiplication is denoted by the symbol "x" or "·" or "*", and the numbers being multiplied are called factors or multiplicands, while the result is called the product. Multiplication can be done using different methods, such as memorization of multiplication tables, or using algorithms like long multiplication or lattice multiplication. Multiplication is a fundamental operation in mathematics, and it is used in many areas of science, engineering, and economics.

Given by the question.

To find out how many dinosaurs George has collected, we can start by calculating 3/5 of the total number of dinosaurs:

3/5 x 45 = 27

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The top of the ladder is 15 feet up the wall.

What is right-angle triangle?

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest side of the three sides, known as the hypotenuse, is the third side.

Given that the height of the ladder is 17 feet. The distance between the base of the ladder and the wall is 8 feet.

It forms a right-angle triangle.

The hypotenuse of the triangle is 17 feet and the base is 8 feet.

Apply Pythagorean theorem:

Altitude² = Hypotenouse² - Base²

Altitude² = 17² - 8²

Altitude² = 289 - 64

Altitude² = 225

Take square root on both sides:

Altitude = ± 15

Since height can't be a negative number, Altitude =  15 feet.

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The total distance for the 4 hour trip can be calculated by adding the distances for each hour interval. 55.23 + 64 3/4 + 52 3/10 + 67.89 = 250 mi.

Distance is the measurement of how far apart two points are in space. It is an important concept in mathematics, science, engineering, and many other disciplines. Distance can be measured in terms of length, time, speed, and direction. Distance is often measured in units such as meters, kilometers, feet, and miles, but it can also be measured using other units such as light years. Distance is a concept that can be used to describe the physical relationship between two objects, the location of an object relative to another object, the length of a journey, or the amount of time it takes to travel between two points.

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The values are, ∠Q = 96°, x = 1, ∠QTR = 47°

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

Given that the diagram QRST is a parallelogram then the parallel sides and angles are equal.

So, ∠Q = ∠S   (Equal angles)

      ∠Q = 96°

and, QT = RS   (Equal parallel sides)

     6x = 6

      x = 1

Co-interior angle of figure, RS║QT and ST is a transversal line,

So, ∠RST + ∠STQ = 180°    

96° + 37° + ∠QTR = 180°                (here ∠STQ = 37° + ∠QTR)

∠QTR = 180° - 133°

∠QTR = 47°

Therefore, The values are, ∠Q = 96°, x = 1, ∠QTR = 47°

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The answer is (c) a sports car with $9,000 equity.

What is the equity?

Equity is the value of the shares you have purchased from a company. The equity you have gives value to you as a person based on your business or a business you support.

In a Chapter 7 bankruptcy, certain property may be exempt from liquidation, while other property may be subject to liquidation to repay creditors.

The exempt property is generally determined by state law, and may include things like a certain amount of equity in a primary residence, a vehicle, and personal property such as clothing and household goods.

Answer (a) refers to equity in a home, which may be exempt in certain cases depending on the state's homestead exemption laws. If the amount of equity in the home falls within the exemption limit, then it may be able to be kept in a Chapter 7 bankruptcy.

Answer (b) refers to a genuine leather jacket worth $600. In many cases, clothing and personal items are exempt in a Chapter 7 bankruptcy, so it is likely that the jacket could be kept.

Answer (c) refers to a sports car with $9,000 equity.

Depending on the state's motor vehicle exemption laws, the equity in the car may exceed the exemption limit and may need to be liquidated to repay creditors.

Answer (d) refers to automotive tools that you own.

Depending on the state's personal property exemption laws, the tools may be exempt and may be able to be kept in a Chapter 7 bankruptcy. However, if the value of the tools exceeds the exemption limit, they may need to be liquidated to repay creditors.

Therefore, the answer is (c) a sports car with $9,000 equity.

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The employee must sell $32,000 worth of merchandise in the month to make a total of $4,000.

Let's first find out how much commission an employee would earn if they sold $x in a month,

where x is the amount of sales over $7,000.

The commission earned would be 8% of x, or 0.08x.

To earn a total of $4,000 for the month, the employee would need to earn a base salary of $2,000 plus an additional $2,000 in commission.

So we can set up the following equation:

0.08x + 2000 = 4000

Subtracting 2000 from both sides, we get:

0.08x = 2000

Dividing both sides by 0.08, we get:

x = 25000

Therefore, the employee must sell $25,000 in a month to make a total of $4,000 for the month. Note that this is the amount of sales over $7,000, so the total sales for the month would be $25,000 + $7,000 = $32,000.

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Answer:1:2

Step-by-step explanation:

By simplification, the cost of 48.5 kg of gasoline is approximately $0.04.

What is density?

Density is a physical property of matter that describes how much mass is present in a given volume of a substance. It is defined as the amount of mass per unit volume and is usually expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³). The formula for density is:

Density = Mass / Volume

First, we need to find the volume of 48.5 kg of gasoline using its density:

Volume = Mass / Density = 48.5 kg / 900 g/L = 0.05389 L

Next, we can find the cost of this volume of gasoline:

Cost = Volume x Price per liter = 0.05389 L x $0.83/L = $0.0448

Rounding this to the nearest cent, we get:

Cost = $0.04

Therefore, the cost of 48.5 kg of gasoline is approximately $0.04.

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Answer:

D

Step-by-step explanation:

Answer:

sorrrrrry

Step-by-step explanation:

sorrrrrrŕreeeeeeey

The doubling time for the hourly wage is approximately 14.54 years.

We can use the formula for exponential growth to solve for the doubling time: [tex]A = P * (1 + r)^t[/tex]

Where:

A = final amount (doubled hourly wage = $7.00 * 2 = $14.00)

P = initial amount (hourly wage = $7.00)

r = annual growth rate (unknown)

t = time (doubling time = unknown)

We can also use the given information to set up another equation:

[tex]13.27 = 7 * (1 + r)^{12[/tex]

To solve for r, we can isolate the exponential term and take the 12th root of both sides:

[tex](1 + r)^{12} = 13.27 / 7[/tex]

[tex]1 + r = (13.27 / 7)^{(1/12)[/tex]

[tex]r = (13.27 / 7)^{(1/12)} - 1[/tex]

r ≈ 0.0477

Now that we know the annual growth rate is approximately 0.0477, we can use the doubling time formula:

t = log(2) / log(1 + r)

t = log(2) / log(1 + 0.0477)

t ≈ 14.54

Therefore, the doubling time for the hourly wage is approximately 14.54 years.

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Using BIDMAS order of operations, we have: 1. 3 + 7 x (3 – 2) = 10; 2. (3 + 7) x 10 – 5 = 95; 3. 5 + (5 + 2) x (6 – 4) = 19.

BIDMAS is a mnemonic acronym that stands for the order of operations in arithmetic expressions:

B: Brackets (or Parentheses)

I: Indices (or Powers)

D: Division

M: Multiplication

A: Addition

S: Subtraction

It is a rule to determine the order in which to perform mathematical operations in an expression that contains more than one arithmetic operation.

1. 3 + 7 x (3 – 2)

= 3 + 7 x 1 (subtracting inside the parentheses first)

= 3 + 7

= 10

Therefore, 3 + 7 x (3 – 2) = 10.

2. (3 + 7) x 10 – 5

= 10 x 10 - 5 (adding inside the parentheses first)

= 100 - 5

= 95

Therefore, (3 + 7) x 10 – 5 = 95.

3. 5 + (5 + 2) x (6 – 4)

= 5 + 7 x 2 (subtracting inside the parentheses first)

= 5 + 14

= 19

Therefore, 5 + (5 + 2) x (6 – 4) = 19.

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Answer:

Interest = $530.4

Step-by-step explanation:

We know:

Interest = Principal x Rate x Time

First, put in the numbers:

Interest = $1,300 x 6.8% x 6 years

Interest = $1,300 x [tex]\frac{6.8}{100}[/tex] x 6 years

Interest = $13 x 6.8 x 6 years

Interest = $88.4 x 6

Interest = $530.4

Answer:

18

Step-by-step explanation:

Counting:

07 17 27 37 47 57 67 70 71 72 73 74 75 76 78 79 87 97

notice we can ALSO use variation with no repetition equation with n=9 (numbers from 0 to 10) and p=1 (two digits) but the value can be in the first position or the second position

[tex]\frac{9!}{(9-8)!}[/tex] +  [tex]\frac{9!}{(9-8)!}[/tex][tex]=9+9=18[/tex]

The probability against Brian winning a gift card are approximately 3.118 to 1.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event happening is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in various fields, such as statistics, finance, science, engineering, and gaming, to make predictions and decisions based on uncertain events.

In the given question,

The probability of the arrow stopping on a black slice is 3/10. Therefore, the probability of the arrow stopping on a non-black slice is 7/10.

If the arrow stops on the border of two slices, the wheel is spun again, so Brian has another chance to win. The probability of the arrow stopping on a non-black slice is 7/10, so the probability of the arrow stopping on a black slice on the second spin is 3/7.

To find the odds against Brian winning a gift card, we first find the probability of him not winning a gift card on either spin:

P(not winning) = P(non-black on first spin) + P(black on first spin and non-black on second spin)

P(not winning) = (7/10) + (3/10) × (4/7)

P(not winning) = 0.7571

The probability of not winning is 0.7571, so the odds against winning are:

Odds against winning = P(not winning) / P(winning)

Odds against winning = 0.7571 / 0.2429

Odds against winning = 3.118

Therefore, the odds against Brian winning a gift card are approximately 3.118 to 1.

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Answer:

Step-by-step explanation:

The profit function for a company is calculated as the difference between the revenue and the total cost. The revenue is calculated by multiplying the number of units sold by the price per unit. The total cost is calculated by adding the fixed costs to the variable costs (calculated by multiplying the number of units produced by the cost per unit).

In this case, we can calculate the profit function P(x) as follows:

P(x) = Revenue - Total Cost P(x) = (Price per unit * Units sold) - (Fixed Costs + Variable Costs) P(x) = (639x) - (428136 + 126x) P(x) = 639x - 428136 - 126x P(x) = 513x - 428136

So for this company, a linear function for their profit in terms of units sold x would be P(x) = 513x - 428136.

The correct option is A, B and E  sets of ordered pairs

Pair is twο identical οr similar items that are intended tο be used tοgether. Examples οf pairs include shοes, sοcks, glοves, scissοrs, and chοpsticks. Pairs are οften used as a way tο create symmetry in a design, such as a pair οf matching curtains, οr tο fοrm a cοmplete unit, such as a pair οf bοοkends. In mathematics, a pair is twο elements that are related in sοme way and are usually represented by an οrdered set, such as (a, b).

Fοr example, in set A, the ratiο between the twο cοοrdinates is 2:160, 4:320, 5:400, and 8:640, which is the same in each pair.

Therefοre, the cοrrect οptiοn is A,B and E

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