Pat writes 21/4 pages in 3/5 hour. What is his speed in pages per hour?

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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Answer:

11.08

Step-by-step explanation:

Answer:

y=-1/3x+8

Step-by-step explanation:

3x=y+3

y=3x-3

When it is perp find the reciprocal of the coefficient of x and flip the sign.

3x ---> -1/3x

y=-1/3x+b

Then plug in the (-3,9) to x and y

9=1+b

b=8

Substitute in the answers

y=-1/3x+8

Answer:

1/2

8

Step-by-step explanation:

When its talking about the result or output, look at the range, and then follow the line(s) back to the number(s) in the domain. Do the opposite when it's talking about the function of a certain number, e.g. f(4).

To mitigate the present traffic jam situation in Dhaka City, it is important to consider restructuring the population distribution and implementing effective urban planning strategies.

Here are some possible approaches:

In conclusion, mitigating the traffic jam situation in Dhaka City requires a comprehensive approach that includes restructuring the population distribution, improving public transportation, implementing effective traffic management strategies, and promoting alternative modes of transport. These measures, combined with urban planning initiatives and flexible working arrangements, can help alleviate congestion and create a more sustainable and livable city.

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Answer:

m=(y2-y1) / x2-x1

4-(-4)=8

5-(-7)=12

12/8

Step-by-step explanation:

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The most appropriate measure of center is the mean which describes the average weight of oranges.

For the given data:

5,6,7,7,8,8,10,11,11,14,16,19,20,21

The most appropriate measure of center from the data given is the mean. The mean value gives the average weight of the oranges in the scenario given above.

The mean can be calculated thus :

(Sum of weight / Number of values)

Mean = (163 / 14)

Mean = 11.64

Hence, the most appropriate measure of center is the mean and it describes the average weight of oranges.

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If the probability of having a defect is 20%, then the probability that there is no defect is 0.8 or 80%.

The probability that there is no defect can be calculated by subtracting the probability of having a defect from 1. Since the probability of having a defect is 20%, the probability of no defect is:

1 - 0.20 = 0.80

Therefore, the probability that there is no defect is 80%.

In probability theory, the complement rule states that the probability of an event occurring is equal to 1 minus the probability of its complement. In this case, the event of interest is having no defect, and its complement is having a defect.

If the probability of having a defect is 20%, it means that out of every 100 cases, 20 cases would have a defect. Hence, the remaining 80 cases would not have a defect. This means that the probability of no defect is 80% or 0.80.

By subtracting the probability of having a defect (20%) from 1, we obtain the probability of no defect (80%). This is because the sum of the probabilities of mutually exclusive events must be equal to 1. Therefore, the probability that there is no defect is 80%.

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Answer:

undefined

Step-by-step explanation:

Answer:

18 months

Step-by-step explanation:

it grows 1 inch per month which means 18inchs =18months

Answer:

ur question is incomplete

Step-by-step explanation:

The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

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Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

\(Perimeter = 2 \times (Length + Width)\)

Putting the values of perimeter and length to find the value of width.

\(48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}\)

So, width possible is 6ft.

The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Answer:

$600

Step-by-step explanation:

The bike is $800

if the bike cost 3/4 of regular price then you multiply $800 * (3/4)

3/4 = .75

$800 * .75 = $600

Sale price is $600

Answer:

it is A

Step-by-step explanation:

i remember doing this in middle school.

A change in the price of chicken, the good's own price, will cause a movement along the demand curve for chicken, a normal good, resulting in an increase in the quantity demanded.

The demand curve for chicken represents the relationship between the price of chicken and the quantity of chicken demanded by consumers. The law of demand states that there is an inverse relationship between the price of a good and the quantity demanded, holding all other factors constant. In other words, as the price of chicken decreases, the quantity demanded of chicken increases, and vice versa.

A movement along the demand curve for chicken occurs when there is a change in the price of chicken. When the price of chicken decreases, ceteris paribus, consumers are willing to purchase more chicken at the lower price, resulting in an increase in the quantity demanded along the demand curve. Conversely, when the price of chicken increases, consumers are willing to purchase less chicken at the higher price, resulting in a decrease in the quantity demanded along the demand curve.

Other factors that can shift the demand curve for chicken include changes in consumer income, the prices of substitute or complementary goods, and changes in consumer preferences. However, these factors cause a shift in the entire demand curve, rather than a movement along the curve.

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Answer:

D

Step-by-step explanation:

given the roots of a polynomial x = a, x = b , x = c

then the factors are (x - a) , (x - b) , (x - c)

the polynomial is then the product of the factors

y = (x - a)(x - b)(x - c)

here the roots , where the graph crosses the x- axis, are

x = - 4 , x = - 2 , x = 1

then the factors are

(x - (- 4) ) , (x - (- 2) ) , (x - 1) , that is

(x + 4) , (x + 2) , (x - 1)

Then

y = (x + 4)(x + 2)(x - 1)

The correct statement that describes the relationship between the number of hours spent working/playing video games is given by:

Greater hours worked, fewer hours spent playing video games.

From the dots given, when the value of x(hours worked) increases, the value of x(hours playing video games) decreases, hence the variables are inverse proportional the correct option is given by:

Greater hours worked, fewer hours spent playing video games.

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The book value at the end of the third year is (A) $1,690.

The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.

The straight-line method of depreciation is used to calculate the annual depreciation of an asset.

In this case, the computer system cost $3,500 and was estimated to have a resale value of $525 after five years.

This means that the computer system will depreciate $595 each year.

To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:

Cost of Computer System: $3,500

Annual Depreciation: -$595

Book Value at End of 3rd Year= $3,500 - ($595 x 3) = $1,690

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According to the data given in the question, the book value at the end of the third year is (A) $1,690.

The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.

The straight-line method of depreciation is used to calculate the annual depreciation of an asset.

In this case,

the computer system cost= $3,500

estimated resale value after five years= $525

depreciation  of the computer system each year= $595

To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:

Cost of Computer System: $3,500

Annual Depreciation: $595

Book Value at End of 3rd Year

= $3,500 - ($595 x 3)

= $1,690

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The equation for the variable 'c' is c = d(q² + 1)/(q² - 1). By using simple arithmetic operations on the original equation, the required equation can be obtained.

An equation is a relationship between two expressions given by a mathematical statement.

There are different types of equations. They are linear equations, quadratic, polynomial, etc.

The given equation is

q = √((c + d)/(c - d))

Squaring on both, root gets canceled out

⇒ q² = (c + d)/(c - d)

⇒ q²(c - d) = (c + d)

⇒ cq² - dq² = c + d

Separating like terms  aside,

cq² - c = d + dq²

⇒ c(q² - 1) = d(q² + 1)

⇒ c = d(q² + 1)/(q² - 1)

Therefore, the required equation is c = d(q² + 1)/(q² - 1).

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Answer:

Step-by-step explanation:

\( = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } \)

\( = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } \)

\( = \frac{ {6}^{7} }{ {6}^{5} } \)

\( = {6}^{(7 - 5)} \)

\( = {6}^{2} (ans)\)

Answer:

615.6

Step-by-step explanation:

area of sphere formula

4πr²

4×3.14×7²

=615.6

Answer: d is 15 hrs

Step-by-step explanation:

Just substitute 15 in for t in 2280-60t and evaluate to get D(15)

D(15) is how many miles left to drive to get home after 15 hours

I don't know if this is 100% correct but I tried