I will mark BRAINLYLIST if correct plzzzz helppppp

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Answer:

2

Step-by-step explanation:

4/2=2

2+2=4

4-2=2

Answer:

2

Step-by-step explanation:

(No step-by-step explanation)

The correct option will be C that is x+y=15 and 7x+12y=145 as the system of equation defines, "A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations".

A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations. In order for one term to have equal and opposite coefficients in the two equations, multiply one or both equations by an integer. The equations are combined to form a single equation with a single variable. Do the variable's solution. Reintroduce the variable into the equation and then find the value of the other variable. Systems of linear equations in two variables can be solved in one of three ways: by graphing; by the substitution method; or by the elimination method.

Here,

Let x be the plate of 7 inch and y be the plate of 12 inch.

x+y=15

The total of diameter for both the plate is 145 inches.

7x+12y=145

The right option is C, which has the values x+y=15 and 7x+12y=145. according to the equations' definition, "A system of equations is a collection of equations involving one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the locations where all of these equations intersect ".

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Answer:

2 −1(3−12)=41

Step-by-step explanation:

Distribute:

2−1(3−12)=41292786-1(3x-12)=412−1(3x−12)=412−3+12=41

Add the numbers:

2−3+12=41 92786{2}-3x 92786{12}=412−3x+12=4114−3=41

Rearange terms:

1=4−3=41 92786 {14-3x}=4114−3x=41−3+14=41

Subtract 14 from both sides of the equation:

−3+=14=41-3x+14=41−3x+14=41−3+14−14=41−14

Simplify:

Subtract the numers, then subtract again and get

−3=27

Your solution:

=−9

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

c

Step-by-step explanation:

Answer:

B: 13000 m²

Step-by-step explanation:

To find how much wood is used, we will have to find the surface area of the wooden building.

Formula for surface area of a rectangular pyramid is;

SA = lw + l√(h² + w²/4) + w√(h² + l²/4)

We are given;

l = 100 m

w = 50 m

h = 40 m

Thus;

SA = (100 × 50) + 100√(40² + 50²/4) + 50√(40² + 100²/4)

SA = 5000 + 4717 + 3201.56

SA = 12918.56

Approximating to 2 significant figures gives;

SA = 13000 m²

Answer:

Organize into a table for good gatherings.

Debit Income Summary $23,000; credit Owner Capital $23,000.

The entry to close the income summary account will be to debit the Income Summary by $23,000 and credit the Owner Capital account by $23,000. This entry transfers the net income or loss from the income summary account to the owner's capital account. Since the income summary account has a debit balance of $23,000, it means that expenses exceeded revenues, resulting in a net loss. By crediting the Owner Capital account, the loss is allocated to the owner's equity, reducing their capital by the amount of the loss.

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Answer:

7,2,15

Step-by-step explanation:

In general, to find rational numbers that satisfy a given set of conditions, it is often helpful to first write an equation that relates the numbers to each other.

The three rational numbers are 7, 2 and 15

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

First Number= x

Second Number= x- 5

Third Number = 2x+ 1

so, the product of the three number be 210

x(x-5 )(2x+ 1)= 210

(x² -5x )(2x+ 1)= 210

2x³ + x² - 10x² - 5x= 210

2x³ -9x² -5x -210=0

On solving the equation we get only one real value 7 and other values are imaginary.

Then, the number are

x= 7

2-x-5 = 2

2x+1 = 15

Hence, the three rational numbers are 7, 2 and 15.

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Answer: 3,150 ft.

Step-by-step explanation: multiply all sides together

Answer:

y = 6/7x + 68/7

Step-by-step explanation:

A. To find the value of 3 - 2, we simply subtract 2 from 3, which equals 1.

B. To solve the system of simultaneous equations, let's represent the given equations in matrix form:

[A | B] * [x; y; z] = [C]

where A is the coefficient matrix, B is the constant matrix, and C is the solution matrix.

Substituting the given values, we have:

A = 0 1 -2

   2 -3 1

B = -2 1

    2 3

C = -2 -1

    1 1

Now, let's solve for [x; y; z] using the matrix method. We need to find the inverse of matrix A:

A^-1 = 1/((0*(-3)) - (1*2)) * (-3 2)

                                (-2 0)

Calculating the inverse, we get:

A^-1 = 1/6 * (-3 2)

              (-2 0)

A^-1 = (-1/2 1/3)

           (-1/3 0)

Now, multiply A^-1 by matrix C to find the solution [x; y; z]:

[x; y; z] = A^-1 * C

[x; y; z] = (-1/2 1/3) * (-2 -1)

                                   (1 1)

[x; y; z] = (3/2)

             (-1/3)

Therefore, the solution to the system of simultaneous equations is x = 3/2, y = -1/3, and z is arbitrary.

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the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

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Answer: 637 m²

Step-by-step explanation:

   We need to find the area of four triangles and one square.

   The square: 169 m²

A = L²

A = (13 m)²

A = 169 m²

   The triangles: 468 m²

-> We have four congruent triangles. I will find the area of two (skipping the "divide by two" part of the formula) and multiply by two to find all four at once.

A = B * H

A = (13 m) * (18 m)

A = 234 m²

-

234 m² * 2 = 468 m²

   Total surface area:

169 m² + 468 m² = 637 m²

Answer:

We conclude that:

\(L = 16.5\)

Step-by-step explanation:

Given the expression

\(2\left(12.25\right)\:+\:5\:+\:2L\:=\:62.5\)

Remove parentheses: (a) = a

\(2\cdot \:12.25+5+2L=62.5\)

Multiply the numbers:  \(2\cdot \:12.25=24.5\)

\(24.5+5+2L=62.5\)

Add the numbers:  24.5+5=29.5

\(2L+29.5=62.5\)

Subtract 29.5 from both sides

\(2L+29.5-29.5=62.5-29.5\)

Simplify

\(2L=33\)

Divide both sides by 2

\(\frac{2L}{2}=\frac{33}{2}\)

Simplify

\(L=\frac{33}{2}\)

\(L = 16.5\)

Therefore, we conclude that:

\(L = 16.5\)

The required value is L=16.5

Given equation is,

\(2(12.25) + 5 + 2L = 62.5\\\)

Simplification:

Simplification means finding the solution from the complex calculation.

Now, solving the given equation as,

\(24.5+5+2L=62.5\\29.5+2L=62.5\\2L=62.5-29.5\\2L=33\\L=\frac{33}{2}\\ L=16.5\)

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Both methods give similar intervals that do not overlap with 0.5, the expected proportion under the null hypothesis of no difference between green and white flowers, indicating a significant deviation from the null hypothesis.

To calculate a confidence interval for the proportion of pea plants with green flowers in Mendel's experiment, we can use the following methods:

Normal approximation method:

This method assumes that the distribution of the sample proportion is approximately normal when the sample size is large enough (n ≥ 30) and the proportion is not too close to 0 or 1.

The formula for the confidence interval is: \(\bar p+ za/2 \times \sqrt{(\bar p(1-\bar p/n)}\), where  is the sample proportion, zα/2 is the critical value from the standard normal distribution corresponding to the desired level of confidence (e.g., 1.96 for 95% confidence), and n is the sample size.

Substituting the values from Mendel's experiment, we get: 0.249 ± 1.96 × √(0.249×0.751/8000) = (0.227, 0.271) at 95% confidence level.

Clopper-Pearson method:

This method provides a conservative confidence interval that guarantees the true proportion is within the interval with at least the desired level of confidence.

The formula for the confidence interval is: , where B is the inverse cumulative distribution function of the beta distribution with parameters \(n(1-\bar p)+1 and n\bar p+1\), and α is the significance level (e.g., 0.05 for 95% confidence).

Substituting the values from Mendel's experiment, we get: [0.232, 0.267] at 95% confidence level.

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Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Answer: 192 cubes.

Step-by-step explanation:  Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube’s volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

To have $2000 in spending money in three years, Cheryl needs to deposit $1,728.68 and  to save $40,000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded quarterly, Shazaad needs to save approximately $661.51 per month.

To have $2000 in spending money in three years, Cheryl needs to deposit $1,728.68 now in a savings account that pays 4 percent interest compounded monthly. To calculate the required deposit amount, we use the formula for present value (PV). In this case, the future value (FV) is $2000, the interest rate (r) is 4 percent, and the time period (t) is three years. Since the interest is compounded monthly, we divide the interest rate by 12 to get the monthly interest rate (i). Using the formula PV = FV / (1 + i)^nt, where n represents the number of compounding periods per year, we substitute the values and solve for PV. The result is $1,728.68, which is the amount Cheryl needs to deposit now.

For the second question, to save $40,000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded quarterly, Shazaad needs to save approximately $661.51 per month.

To calculate the monthly savings amount (PMT), we use the formula for the future value of an ordinary annuity. In this case, the future value (FV) is $40,000, the interest rate (r) is 4.5 percent, the time period (t) is five years, and the compounding is done quarterly. Using the formula PMT = FV / [(1 + i)^nt - 1] * (1 + i) / i, where n represents the number of compounding periods per year and i represents the interest rate per compounding period, we substitute the values and solve for PMT. The result is approximately $661.51, which represents the monthly savings amount needed for Shazaad to accumulate $40,000 in five years.

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Answer:

66

Step-by-step explanation:

it is the total people surveyed

Answer:

Step-by-step explanation:

\(a^{(\dfrac{b}{4})} = 16\\\\\\Both \ sides \ raise \ to \ 4\\\\(a^{\dfrac{b}{4}})^{4} = 16^{4}\\\\a^{\dfrac{b}{4}*4}=16^{4}\\\\a^{b}=16^{4}\)

b = 4

The total time taken to make combined 60 cookies by Larry and Mary is equal to 75.79 minutes.

Rate at which each person can make cookies

Time to make one batch of 3 cookies made by Larry = 8 minutes

⇒Number of cookies per minute = 3/8 cookies

Time to make one batch of 5 cookies made by Mary = 12 minutes

⇒Number of cookies per minute = 5/12 cookies

Combined rate at which they make cookies,

= 3/8 + 5/12

= 9/24 + 10/24

= 19/24 cookies per minute

Together they can make 19/24 cookies per minute.

To make a total of 60 cookies,

Let 't' be the time in minutes required to make 60 cookies.

⇒ (19/24) t = 60

⇒ t = (60)/(19/24)

⇒ t  = 75.79 minutes (rounded to two decimal places)

Therefore, total time taken by  Larry and Mary approximately 75.79 minutes to make a combined total of 60 cookies.

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Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

Answer:ok

Step-by-step explanation:

With the given information, the equation of the hyperbola can be expressed as: \(\frac{(x-1)^2}{4 } - \frac{(y-4)^2}{32} = 1\)

The general equation of a hyperbola with center (h, k), vertex (a, k), and focus (c, k) on the x-axis can be written as:

\(\frac{(x-h)^2}{a^{2} } - \frac{(y-k)^2}{b^{2} } = 1\)

From the question,

center is (1, 4),

vertex is (3, 4), and

focus is (7, 4).

The distance between the center and vertex is the value of 'a', which is 3 - 1 = 2.

The distance between the center and focus is the value of 'c', which is 7 - 1 = 6.

The value of 'b' can be found using the relationship

c² = a² + b².

Substituting the known values:

6² = 2² + b²

36 = 4 + b²

b² = 32

Plugging these values into the equation, we have:

\(\frac{(x-1)^2}{2^{2} } - \frac{(y-4)^2}{\sqrt{32} ^{2} } = 1\)

Simplifying further:

\(\frac{(x-1)^2}{4 } - \frac{(y-4)^2}{32} = 1\)

This is the equation of the hyperbola with the given center, vertex, and focus.

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Answer:

96 in²

Step-by-step explanation:

I took the test :)

Answer:

96 in² for K12

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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b. Incremental pricing is correct answer.

Incremental pricing is a pricing strategy that focuses on covering only the variable costs associated with exporting a product. It does not take into account fixed costs such as overhead expenses or other costs that are not directly related to the production and export of the product.

On the other hand, the other options mentioned do consider fixed costs in setting the price for export:

a. Flexible cost-plus method: This method considers both variable costs and fixed costs, and adds a markup or profit margin to determine the export price.

c. Standard worldwide price: This strategy sets a uniform price for the product across different markets, taking into account both variable and fixed costs.

d. Rigid cost-plus method: Similar to the flexible cost-plus method, this approach includes both variable and fixed costs in setting the price for export.

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Answer:

----------------------

Jonathan spends the fraction of total:

The fraction of money left:

Jonathan has 7/20 of money left.