convert 11pi/12 radians to degrees.​

120 is the simple interest owed for the use of the money.

What does the phrase "simple interest" mean?

From the time when money was first lent until the time that it should be paid back with interest, this time frame is considered the borrowing period. The term or deadline for this is also an option. A percentage of the principle is how interest is most commonly computed.

P = $2000, r = 6%, t = 1 year

simple interest = P * r * t/100

                         = 2000 * 6 * 1/100

                        = 120

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The simple interest owed for the use of the money is $120.

Simple interest is the interest charge on a loan calculated using only the original principal amount and a fixed interest rate. It does not use compounding, which causes borrowers to pay interest on principal and interest that accumulates over numerous payment periods.

The simple interest formula is as follows:

SI = P * r * t

where I denotes simple interest, P denotes principal, r denotes interest rate (in decimal), and t denotes time period (in years).

When we substitute the provided values, we get:

SI = $2000 * 0.06 * 1

SI = $120

As a result, the simple interest for the usage of the money is $120.

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A reasonable estimate of the number of books he will read in the next six weeks is between 13.8 - 1.4 = 12.4 and 13.8 + 1.4 = 15.2 books.

Normal usually refers to the word "normal" in a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is;

Z = (X - μ)/ σ

We are given that;

Books= 6.9

Number of weeks= 3

Error= + 0.7

Now,

The margin of error is the range of values that are likely to contain the true value of a measurement. In this case, the margin of error is + 0.7, which means that the true average number of books Noel read in the first 3 weeks could be anywhere from 6.9 - 0.7 = 6.2 to 6.9 + 0.7 = 7.6.

To estimate the number of books he will read in the next six weeks, we can assume that he will read at the same rate as in the first three weeks. This means that we can use a proportion to find the estimated number of books:

3/6 = (6.9 +/- 0.7)/x

where x is the estimated number of books in the next six weeks. Solving for x, we get:

x = (6.9 +/- 0.7) * (6/3) x = (6.9 +/- 0.7) * 2 x = 13.8 +/- 1.4

Therefore, by Statistics the answer will be 13.8 - 1.4 = 12.4 and 13.8 + 1.4 = 15.2 books.

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The probability that all men will be interview first is 0.05.

Probability helps with finding out the likelihood of the occurrence of an event and measures chance of an event happening.

Given data:

Men = 3

Women = 3

Total people:

= 3 + 3

= 6

Probabilities of men:

P(first man) = 3/6 = 1/2

P(second man) = 2/5

P(third man) = 1/4

Required probability is:

P(first 3 men) = 1/2 * 2/5 * 1/4

P(first 3 men) = 0.05

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Answer: 5 mm 6 mm

Step-by-step explanation:

The area of a triangle ABC is 496.25 square feet. Therefore, option B is the correct answer.

Given that, in the triangle ABC, m∠B = 83°, a = 25 feet, and c = 40 feet.

The area of a triangle can be expressed using the lengths of two sides and the sine of the included angle. Area of a triangle = ½ ab sin C.

Here, area of a triangle = 1/2 ×25×40 sin83°

= 25×20×0.9925

= 496.25 square feet

Therefore, option B is the correct answer.

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Answer:

Part A: Experiment: Rolling a fair six-sided die.

Part B: Sample space: {1, 2, 3, 4, 5, 6}. This sample space was determined by listing all possible outcomes of rolling a fair six-sided die.

I hope that's what you are looking for.

Step-by-step explanation:

a. #(x) = 0.23x^2 - 0.46x + 7.54 (numbers rounded to two decimal places)

b. To find the year at which the number of households living in poverty is at a minimum, we need to find the vertex of the quadratic function. The x-value of the vertex is given by -b/2a. Plugging in the values for a and b from the function in part (a), we get:

x = -(-0.46)/(2*0.23) = 1

So the minimum occurs in the year 1999 + 1 = 2000 (rounded to the nearest year).

c. To find the number of households living in poverty in 2000, we need to evaluate the function at x = 1 (since 2000 is 1 year after 1999). Plugging in x = 1 into the function from part (a), we get:

#(1) = 0.23(1)^2 - 0.46(1) + 7.54 = 7.40

So there were approximately 7400 households living in poverty in Asturias in 2000 (rounded to one decimal place).

Answer:

70%

Step-by-step explanation:

you do it

Answer:

[tex]\bold{f(x) = 375(2.5)^{-x}+ 33}[/tex]

Step-by-step explanation:

An exponential function of form f(x) = ba^(-x) + c has a horizontal asymptote of y = c as x approaches infinity, and a y-intercept of (0, b + c). We can use the given information to set up a system of equations and solve for the unknowns.

The horizontal asymptote is given as y = 33, so we have:

c = 33

The y-intercept is given as (0, 408), so we have:

b + c = 408

Substituting c = 33, we get:

b + 33 = 408

b = 375

So the function we're looking for is of the form:

[tex]\bold{f(x) = 375a^{-x}+ 33}[/tex]

To find a, we use the fact that the function passes through P(2, 93):

93 = 375a^(-2) + 33

60 = 375a^(-2)

a^2 = 375/60

a^2 = 6.25

a = [tex]\sqrt{6.25 } =2.5[/tex]

Therefore, the exponential function that satisfies the given conditions is:

[tex]\bold{f(x) = 375(2.5)^{-x}+ 33}[/tex]

The figure that satisfies the condition of the net  for the rectangular prism is the figure in the option at the bottom right of the screen.

A rectangular prism is a three dimensional figure consisting of six rectangular shaped faces, with the pair of opposite faces parallel to each other.

The net for the rectangular prism is one that can be folded to produce the rectangular prism.

The net of the rectangular prism will have the faces with the longest sides penultimate to each other.

The figure that satisfies the condition of the faces with the longest sides being separated by another side in between is the figure on the bottom right of the the screen. Please find attached

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Step-by-step explanation:

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09

Answer:

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09

Step-by-step explanation:

The ratio 5 1⁄2 : 2 3⁄4 can be expressed in simplest form as 11 : 7.

Ratio is a mathematical comparison between two numbers, usually expressed as a fraction. It is used to compare quantities or measurements, and is a useful tool for understanding relationships between different values. Ratios can be used to solve problems and make decisions, as well as to measure and compare proportions in different situations.

This can be derived by multiplying the numerators and denominators of the two ratios by the same number, in this case 2. The resulting fractions are 11⁄2 and 5⁄2, which can then be simplified to 11 : 7.

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Casey will earn $595.42 more interest with annual compound interest compared to annual simple interest over 10 years.

Simple interest is paid just on the initial amount deposited or borrowed and is computed as a percentage of the principal amount. In other words, interest earned or charged is calculated purely on the principal amount, without taking into consideration interest from prior periods. On the other hand, compound interest adds the principal amount to the interest earned or charged in prior periods to determine the interest earned or charged in the current period. In comparison to simple interest, compound interest results in higher overall interest payments or earnings since the interest generated or charged climbs exponentially over time. Compound interest is more prevalent and beneficial for long-term investments in general.

The compound interest is given as:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

Substituting the values of P = 500, n = 1, r = 0.06 and t = 10 we have:

[tex]A = P(1 + r/n)^{(nt)} = 500 * (1 + 0.06/1)^{(1*10)} = $895.42[/tex]

Now, simple interest is given as:

SI = Prt = 500 * 0.06 * 10 = $300

Now, the difference is:

895.42 - 300 = $595.42

Hence, Casey will earn $595.42 more interest with annual compound interest compared to annual simple interest over 10 years.

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The equivalent expressions of the expression  (3/4)x-1 are (3x/4) - 1, 3x/4 - 4/4 and 0.75x - 1

The given expression is (3/4)x-1

Three divided by four times of x minus one

We have to find three equivalent expressions of given expression

Equivalent expressions are expressions that work the same even though they look different.

(3x/4) - 1

3x/4 - 4/4

and 0.75x - 1 are equivalent expressions

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The volume of the composite solid, rounded to the nearest hundredth, is: 213.33 cubic centimeters.

The solid given is composed of two square pyramids. Therefore, to find the volume of the composite solid, apply the formula below:

Volume of composite solid = 2(1/3 * length * width * height)

Given the following dimensions:

Length = 8 cm

Width = 8 cm

Height = 5 cm

Plug in the values:

Volume of composite solid = 2(1/3 * 8 * 8 * 5)

≈ 213.33 cubic centimeters (to the nearest hundredth).

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Answer:

The answer is 13 to the nearest gallon

Step-by-step explanation:

1litre =0.264gallon

50litre=x

x×1=50×0.264

x=13.2gallon

x=13 to the nearest gallon

The exponential decay can be written as:

y = 550mg*(1 - 0.066)^t

A general exponential decay can be written as:

y = A*(1- r)^x

Where A is the initial amount, r is the rate of decay, and x is the variable.

Here we know that we start with a sample of 550 mg, and this sample decays at a rate of 6.6% per year.

Then the amount of sample that we have after t years is given by the exponential decay:

y = 550mg*(1 - 0.066)^t

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Answer:

(xyz + 1)

Step-by-step explanation:

We can use the identity:

[tex]a^2 - b^2 = (a + b)(a - b)[/tex]

to solve for the blank in this equation.

On the left side, we can identify a difference of two squares (a² - b²).

We can see that there is already an (a - b) term on the right, so in the blank, we just have to construct an (a + b) term:

(xyz + 1)

This satisfies the equation:

(xyz)² - 1 = (xyz + 1) · (xyz - 1)

The box that replaces the question mark is Box D.

Option D is the correct answer.

We have,

In a figure pattern, the concept used involves identifying and recognizing the underlying rules or principles that govern the sequence of figures.

By observing the given figures and understanding the patterns or relationships between them, we can predict or generate the next figure in the sequence.

From the pattern,

We see that,

The figure is rotating clockwise.

Now,

The box that replaces the question mark would be:

Box D

Thus,

The box that replaces the question mark would be Box D

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y² = 2x - 2 is not a function since the one value of x related to more than one values of y via this given relation.

A relation is called a function only if it is well defined that is each input value that is each value of x is related to only one output value that is the value of y.

Here given the relation is y² = 2x - 2

So, either y = + √(2x - 2) or y = - √(2x - 2)

For suppose one value of x is, x = 3.

y = + √(2*3 - 2) = + √(6 - 2) = + √4 = + 2

y = - √(2*3 - 2) = - √(6 - 2) = - √4 = - 2

So here one input value x = 3 is related to two values of y that are y = -2, +2 via the relation y² = 2x - 2.

Hence, y² = 2x - 2 is not a function.

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Answer:

Step-by-step explanation:

17

Answer:

mark me brilliant

Step-by-step explanation:

The factory produces one box of potato chips every 4 minutes, which means in one minute, it produces 1/4 boxes.

So, in 20 minutes, the factory would produce:

(1/4) x 20 = 5 boxes

Therefore, the factory would make 5 boxes filled with potato chips in 20 minutes.

By creating and solving various equation-:(A) x + y + z = 24, x(8000) + y(16000) + z(24000) = 520000. (B) x = 8, y = 8, z = 8. (C) Solution with 8 tank cars of each capacity minimizes the monthly leasing cost at $15,800.

Cost refers to the monetary value of goods, services or resources that are used or consumed to achieve a particular goal or objective.

An equation is a mathematical statement that asserts that two expressions are equal. It contains variables, coefficients, and mathematical operators.

According to the given information:

(A) Let x be the number of 8,000 gallon tank cars, y be the number of 16,000 gallon tank cars, and z be the number of 24,000 gallon tank cars. The total carrying capacity can be expressed as:

8000x + 16000y + 24000z = 520000 ... (1)

Since we have a total of 24 tank cars, the total number of tank cars can be expressed as:

x + y + z = 24 ... (2)

(B) To solve this system of equations, we can use substitution. Solving equation (2) for x, we get:

x = 24 - y - z

Substituting this expression for x into equation (1), we get:

8000(24 - y - z) + 16000y + 24000z = 520000

Simplifying this equation, we get:

8000y + 16000z = 200000

Dividing both sides by 8000, we get:

y + 2z = 25 ... (3)

We can use equations (2) and (3) to solve for y and z:

y = 25 - 2z, x = 24 - y - z

Substituting these expressions into equation (1), we get:

8000(24 - (25 - 2z) - z) + 16000(25 - 2z) + 24000z = 520000

Simplifying this equation, we get:

16000z = 160000

z = 10

Substituting z = 10 into y = 25 - 2z and x = 24 - y - z, we get:

y = 5, x = 9

Therefore, the solution is x = 9, y = 5, and z = 10.

(C) To minimize the monthly leasing cost, we need to calculate the total cost for each solution and choose the one with the lowest cost. The monthly leasing cost can be expressed as:

450x + 650y + 1150z

Substituting x = 9, y = 5, and z = 10, we get:

450(9) + 650(5) + 1150(10) = $28,350

Therefore, the solution that minimizes the monthly leasing cost is x = 9, y = 5, and z = 10, with a monthly leasing cost of $28,350.

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The formula for compound interest is given by:

A = P(1 + r/n)^(nt)

Where:

A = final amount

P = principal (initial amount)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time (in years)

Using this formula, we can calculate the final amount of the CD as follows:

A = 2250(1 + 0.03/4)^(4*2)

A = 2250(1 + 0.0075)^8

A = 2250(1.0075)^8

A = 2250(1.063853)

A = $2398.12 (rounded to the nearest cent)

Therefore, the CD will be worth approximately $2398.12 at maturity.

Margo will pay $22 in interest after 6 months.

Margo borrows $1,100 and agrees to pay it back with a 4% annual interest rate after 6 months. To calculate the interest she will pay, follow these steps:

1. Convert the annual interest rate to a decimal: 4% = 0.04.
2. Calculate the interest for one year: Principal x Annual Interest Rate = Interest for One Year. In this case: $1,100 x 0.04 = $44.
3. Since Margo is paying the loan back after only 6 months, we need to find the interest for half a year. To do this, simply divide the interest for one year by 2: $44 ÷ 2 = $22.

So, Margo will pay $22 in interest after 6 months.

In summary, Margo borrows $1,100 at a 4% annual interest rate. We first convert the interest rate to a decimal (0.04) and find the interest for one year by multiplying the principal by the annual interest rate ($1,100 x 0.04 = $44). Finally, we calculate the interest for 6 months by dividing the one-year interest by 2 ($44 ÷ 2 = $22). Therefore, Margo will pay $22 in interest after 6 months.

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1) 9 × 1 × 4

2) 1 × 4 × 0 = 1 × 4 × 0

3) 8 + 9 = 3 + 11

4) 8 + 7 + 2 = 20 ÷ 2 + 7