Trig PLEASE HELP (3)

Answer: $18,000 was invested at 11% profit

$15,000 was invested at 3% loss

Step-by-step explanation:

11x - .03 x (33000-x)=1530

11 x 18000- .03 x (33000 - 18000) =1530

1980-.03 x 15000 = 1530

1980 - 450 =  1530

1530 = 1530

The slope of the line segment is -1/2 . Option A is correct.

What is slope ?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

The slope is the "rise over run" between any two points on the line.

Count out how much "up or down" vs "left or right" to find the slope:

   We go up 5 and right 5, giving us the fraction

Thus , slope is given by -5 /10 = -1 /2      

When counting, up and right are counted as positive; left and down are counted as negative.

Hence , the slope of the line segment is -1/2 . Option A is correct.

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450, 46, 12

46, 12, 10

450, 10, 12

46,450,10

Step-by-step explanation:

The mixture of any three would be the possibilities

450, 46, 12

46, 12, 10

450, 10, 12

46,450,10

Answer:

y = (-1/5)x + b

Step-by-step explanation:

The given line is y = 5x. To find a line perpendicular to it, we need to use the fact that the slopes of perpendicular lines are negative reciprocals of each other.

The slope of the given line y = 5x is 5, so the slope of the line perpendicular to it is -1/5.

Let (x1, y1) be any point on the line L. Then the point-slope form of the equation of L is:

y - y1 = m(x - x1)

where m is the slope of the line, which in this case is -1/5.

So the equation of line L in point-slope form is:

y - y1 = (-1/5)(x - x1)

To find the equation of line L in slope-intercept form, we need to solve the point-slope equation for y. First, we can simplify the equation to:

y = (-1/5)x + (1/5)x1 + y1

This equation can be rearranged to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. In this case:

m = -1/5

b = (1/5)x1 + y1

Therefore, the equation of line L in slope-intercept form is:

y = (-1/5)x + b, where b = (1/5)x1 + y1.

Answer:

Common Multiple for #6

Step-by-step explanation:

Not sure if that's what you meant but hope this helps

Answer:

2.42

Step-by-step explanation:

To find the diameter divide by 3.14 or pi. That equals 2.42038216561 but 2.42 is the rounded answer (if you are rounding to the hundredths place)

Answer:

Step-by-step explanation:

Sure, I can provide a step-by-step solution to find the probability of observing 10 tornadoes in Ohio in a given year using the Poisson distribution.

Given information:

Mean number of tornado events in Ohio = 19 per year.

Number of tornadoes follows a Poisson distribution.

To find:

Probability of observing 10 tornadoes in Ohio in a given year.

Solution:

We can use the Poisson probability formula, which is given as:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable representing the number of tornadoes in a year, λ is the mean number of tornadoes in a year, k is the number of tornadoes we want to find the probability for, and k! is the factorial of k.

Substituting the given values, we get:

P(X = 10) = (e^(-19) * 19^10) / 10!

Now, we can simplify this expression by calculating the values of e^(-19) and 10!.

e^(-19) ≈ 0.0000000000000000008352702118 (using a calculator)

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

Substituting these values, we get:

P(X = 10) = (0.0000000000000000008352702118 * 19^10) / 3,628,800

Now, we can simplify this expression by multiplying 0.0000000000000000008352702118 and 19^10 and then dividing by 3,628,800.

Multiplying 0.0000000000000000008352702118 and 19^10, we get:

0.0000000176218972

Dividing this by 3,628,800, we get:

P(X = 10) ≈ 0.009

Rounding this to 3 decimal places, we get:

P(X = 10) = 0.009

Therefore, the probability of observing 10 tornadoes in Ohio in a given year is approximately 0.009.

Since the boxes are sliding to the right at a constant velocity, the net force acting on each box is zero.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS contain mathematical expressions that can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used in many areas of mathematics and science to describe relationships between variables and to solve problems. They can be linear or nonlinear, simple or complex, and may involve one or more variables. The process of finding the values of variables that make an equation true is called solving the equation.

Here,

Therefore, the forces on each box must balance out. Let's consider the forces acting on each box:

Box A: Since it has a larger mass, it requires a larger force to slow down. Therefore, the force exerted by hand H on box A must be larger than the force exerted on box B. We can rank the forces on box A, box B, and hand H as follows:

Force exerted by hand H on box A (largest force)

Force exerted by hand H on box B

Force exerted by box A on hand H

Force exerted by box B on hand H

Force exerted by box A on box B (smallest force)

Box B: Since it has a smaller mass, it requires a smaller force to slow down. Therefore, the force exerted by hand H on box B must be smaller than the force exerted on box A.

Hand H: The forces exerted by box A and box B on hand H are equal and opposite (Newton's third law). Therefore, they cancel each other out and the net force on hand H is zero.

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Answer:

integers . whole number and nutural number

Answer:

A

Step-by-step explanation:

Following the accounting cycle, an accountant would make a worksheet right after making an adjusted trial balance. The worksheet is a tool used by accountants to prepare financial statements and to adjust entries. The worksheet summarizes the data in the trial balance and makes it easier for the accountant to prepare the financial statements. The worksheet includes adjustments for accruals, prepayments, depreciation, and other items that were not recorded in the original journal entries. Once the worksheet is complete and the financial statements have been prepared, the accountant would then close the entries to start a new accounting cycle. Therefore, the correct answer is A. make a worksheet.

Answer:

Step-by-step explanation:

Let's start by finding the total number of women in the company. We know that 40% of the employees are women, so if we let x be the total number of employees, we can write:

Number of women = 40% of x = 0.4x

Let's then use the given ratio to determine the number of single women in the company. If the ratio of single women to married women is 2:5, we can write:

Number of single women = (2/7) * Number of women = (2/7) * 0.4x = 0.114x

We are also given that there are 30 married women. Since the total number of women is 0.4x, we can write:

Number of married women = 30

0.6x = 30

x = 50

Therefore, there are a total of 50 employees in this company.

By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.

In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:

2x - 3y = -5      .......equation 1.

3x + y = -2          .......equation 2.

From equation 2, we have:

y = -3x - 2

By using the substitution method to substitute equation 3 into equation 1, we have the following:

2x - 3(-3x - 2) = -5

2x + 9x + 6 = -5

11x = -5 - 6

x = -11/11

x = -1

For the value of y, we have:

y = -3x - 2

y = -3(-1) - 2

y = 1.

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The regular price of the suit is $250.

What is the discounts ?

A discount is a reduction in the price of a product or service. It is often used as an incentive to encourage customers to buy a product or service, especially when the original price is considered too high.

Let's assume the regular price of the suit to be x.

According to the problem, the sale price of the suit after a 25% discount is $187.5.

This can be written as:

x - 0.25x = 187.5

Simplifying the equation:

0.75x = 187.5

Dividing both sides by 0.75:

x = 250

Hence, the regular price of the suit is $250.

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Let's call the smaller number "x". Since the larger number exceeds the smaller number by 1, we can call the larger number "x + 1".

The problem tells us that the sum of the numbers is 25, so we can set up an equation:

x + (x + 1) = 25

Simplifying and solving for x:

2x + 1 = 25

2x = 24

x = 12

So the smaller number is 12. To find the larger number, we can use x + 1:

x + 1 = 12 + 1 = 13

So the larger number is 13.

Therefore, the two numbers are 12 and 13.

Answer:

Step-by-step explanation:

3f(x) stretches the graph of the function by a factor of 3 since it is being multiplied to f(x) and 3 is greater than one.

f(x+3) shifts the graph of the function 3 units to the left since 3 equals h in the equation: f(x-h), so you switch the sign and it becomes negative thus moving left.

f(3x) compresses the graph by a factor of 1/3 since it is inside the parenthesis.

f(x) + 3 shifts the graph of the function up by 3 units since it is being added to f(x).

The value of the expression P-q will be 16. The correct option is C.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To find the value of p - q, we need to eliminate r from the two equations given to us.

We can do this by solving for r in one of the equations and then substituting that expression into the other equation.

Let's solve for r in the equation p - r = 11:

r = p - 11

Now we can substitute this expression for r into the equation q - r = -5:

q - (p - 11) = -5

Simplifying this equation by distributing the negative sign, we get:

q - p + 11 = -5

Subtracting 11 from both sides, we get:

q - p = -16

Therefore, p - q = -(q - p) = -(-16) = 16.

So the answer is 16.

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Answer:

Step-by-step explanation:

75 x 2 = 150mph

150 x 8 = 1200 miles

The train will travel 1200 miles in 8 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

If the train travels 75 miles in 1/2 hour, we can use this information to find the train's speed:

Speed = Distance/Time

Speed = 75 miles / 0.5 hour

Speed = 150 miles/hour

Now that we know the speed of the train, we can use it to find how many miles the train will travel in 8 hours:

Distance = Speed x Time

Distance = 150 miles/hour x 8 hours

Distance = 1200 miles

Therefore, the train will travel 1200 miles in 8 hours.

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Answer: When y=1, x=[tex]\frac{1}{2}[/tex]

It will be a point with the coordinates ([tex]\frac{1}{2}[/tex], 1)

Step-by-step explanation:

- Start plotting points from the y-intercept, in this case, -1.

- Since the function is written in the form y=mx+b, where the slope is b which is in this case 4. Meaning to say that from the y-intercept -1 you have to go 4 units up and 1 unit right.

- Continue plotting 2 or 3 points, then connect them with a straight line.

- For the value of x when y=1, we can substitute y with 1 and solve the equation for x.

1=4x-1  (Add 1 to both sides)

2=4x  (Divide by 4)

[tex]\frac{1}{2}[/tex]=x Write the solution.

let the total population be x

Step-by-step explanation:

38.8%of x=12,900,000

x=12,900,000*100/38.8

x=12,900,000*100*10/388

The annual percentage yield for money invested at the rates are:

To solve for the APY in the first question:

APY = [tex](1+ r/n)^n^-^1[/tex]

r= interest rate

n= number of times interest is compounded per year

We put in the values

APY = [tex]( 1 + 0.0441/12)^1^2^-^1[/tex]

APY = 4.5%

To solve for the second one

4.42% compounded quarterly

plug in the values into the formula

[tex](1 + 0.0442)/4^4^-^1[/tex]

APR = 4.49%

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Answer: 62,000

         2,000+4,000+8,000+16,000+32,000

Mila's monthly mortgage payment would be approximately $4,658.99.

In finance, interest refers to the cost of borrowing money or the return earned on an investment. It is usually expressed as a percentage of the amount borrowed or invested and is typically calculated on an annual basis.

For borrowing money, interest is the cost that the borrower has to pay to the lender for the privilege of using their funds. The lender earns interest on the loan as compensation for lending their money to the borrower. The interest rate on a loan is determined by a variety of factors, including the borrower's creditworthiness, the term of the loan, and prevailing market conditions.

For investments, interest is the return earned by an investor on their principal amount. For example, when someone deposits money in a savings account, they earn interest on that money. The interest rate on savings accounts and other investments is typically determined by the prevailing market conditions and the financial institution offering the investment.

Interest can be calculated in different ways, including simple interest and compound interest. Simple interest is calculated on the original principal amount, while compound interest is calculated on the principal amount plus any accumulated interest. The frequency at which interest is compounded, such as monthly or annually, can have a significant impact on the total amount of interest earned or paid.

Overall, interest plays a critical role in finance and can have a significant impact on the cost of borrowing money or the return earned on an investment.

To calculate Mila's monthly mortgage payment, we can use the formula for a fixed-rate mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

where:

M = monthly mortgage payment

P = loan amount

r = monthly interest rate

n = number of payments (total number of years * 12)

Plugging in the given values, we get:

M = 730000 * (0.00325 * (1 + 0.00325)^(2012)) / ((1 + 0.00325)^(2012) - 1)

Simplifying this expression using a calculator, we get:

M ≈ $4,658.99

Therefore, Mila's monthly mortgage payment would be approximately $4,658.99.

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The data set (B) could be represented by the shown box plot.

A box and whisker plot (also known as a box plot) expresses a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.

The box plot is given in the question as shown, as per the data :

Minimum = 41

First quartile Q1 = 43

Median = 44

Third quartile Q3 = 48

Maximum = 50

According to set (B), we have:

41, 42, 43, 43, 43, 45, 47, 48, 50, 50

Here, Minimum = 41

First quartile Q1 = 43

Median = (43+45/2) = 44

Third quartile Q3 = 48

Maximum = 50

Therefore, the data set (B) could be represented by the shown box plot.

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Step-by-step explanation:

let length and width be increased by x>0

(10+x)(5+x)=6×10×5

50+10 x+5x+x²=300

x²+15x-250=0

x²+25 x-10x-250=0

x(x+25)-10(x+25)=0

(x+25)(x-10)=0

x=-25(rejected),10

so x=10

Answer:

15 oz

Step-by-step explanation:

1/10 of 30 = 30/10 = 3 oz

2/5 of 30 = 30 * 2/5 = 60/5 = 12 oz

add those up to get 3 + 12 = 15 oz eaten

there are thus 30-15 = 15 oz left in the box

Answer:

Step-by-step explanation:

A frequency distribution is a table or graph that displays the number of times each value or range of values occurs in a dataset, while a probability distribution is a function that describes the likelihood of each possible outcome of a random variable in terms of its probability.

In other words, a frequency distribution describes the actual frequencies or counts of the values in a dataset, while a probability distribution describes the theoretical probabilities of the outcomes of a random variable. Frequency distributions are typically used in descriptive statistics, while probability distributions are used in inferential statistics to make predictions and test hypotheses.

Answer:

£2,700

Step-by-step explanation:

Ryan pays a deposit for the sofa then pays the rest of the cost in 24 equal payments of £112.50 b) How much was the deposit?

If Ryan paid the rest of the cost in 24 equal payments of £112.50, then the deposit would have been the total cost minus the total amount of the 24 payments, which is £2,700. Therefore, the deposit was £2,700.

The proportion of people with IQs above 140 is 2.5% of a mean of 100 and standard deviation of 20.

Comparative magnitude or extent; ratio; the relationship between several entities or components in terms of relative size, number, or degree. the right or ideal relationship between components of a whole; symmetry or balance. If a change in one variable can be expected from a change in the other, two variables are said to be in proportion. For secondary school chemists, there are two separate sorts of proportional relationships: direct proportion and inverse proportion.

When we find the proportion , we obtain:

P(y > 140) = 1 - P(y< 140)

               = 1 - P[(x - α) / β < (140 - 100) / 20]  

               = 1 - P(z < 2)                                  

               = 1 - 0.9772

               = 0.0228

               = 2.5%.

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