(Ahamed invested an amount of S2000 at the rate of 5% per annum for 2 years. Find the compound interest when interest is compounded annually.​

Rectangle:

Rhombus:

Square:

Generally, Properties of shapes are characteristics that describe a shape, such as its size, number of sides, angles, and symmetry. These characteristics can be used to compare, classify, and identify different shapes.

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Answer:

Step-by-step explanation:

8√42 ÷ 2√7 is 8√42/2√7 in a fraction form

you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.

8√42/2√7 * 2√7/2√7 = 4√6

Answer:

The ratio of wins to losses is 3 to 1, out of 32 total games. 3:1 has a total of 4 parts (3+1).

Total games divided by total parts is 32/4 = 8.

Now multiplying number of parts to divisor gives us 3x8 : 1x8 or 24:8. Therefore they won 24 games, lost 8.

Answer:

Rate of growth = 88

Initial value = 1600

Step-by-step explanation:

The given equation is an exponential function.

An exponential function is used to calculate the exponential growth or decay of a given set of data.  In an exponential function, the variable is the exponent.

\(\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}\)

Given equation:

\(y=1600(88)^x\)

The given equation is an exponential function where:

Therefore, the initial value of the equation is 1600.

As b > 1, the function represents exponential growth, and the growth factor is 88. This means that for each increase of one unit in the independent variable (x), the dependent variable (y) will be multiplied by 88.

Answer:

13

Step-by-step explanation:

Add one, because each of the ins had an out that was +1

The number of pillows requiring \(\frac{2}{3}\) yards that can be made from \(3\frac{1}{3}\) yards is 5. Thus the right answer to the given question is C.

Material required for making one pillow = \(\frac{2}{3}\) yards

Total material = \(3\frac{1}{3}\) yards

To find the number of pillows made we have to divide the material required for one pillow by the total material available to Kevin for making pillows

Number of pillows = \(3\frac{1}{3}\) ÷ \(\frac{2}{3}\)

=  \(\frac{10}{3}\) ÷ \(\frac{2}{3}\)

To divide two fractions, we take the reciprocal of the second number and multiply it by the first number.

=  \(\frac{10}{3}\) * \(\frac{3}{2}\)

= 5

Thus, the number of pillows made is 5.

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To find the area of the shaded region subtract the unshaded region from the total area, so we got 87.

Square Area equals Side x Side. The square's size is therefore equal to side square units. and a square's circumference equals four side units.

To find the area of the shaded region first we need to find the sum of the area of all quadrilaterals and then subtract the area of the unshaded region.

Area of first quadrilateral A1  = \(16^{2}\) = 256

Area of first quadrilateral A2  = \(3^{2}\) = 9

Area of first quadrilateral A3  = \(3^{2}\) = 9

Area of first quadrilateral A4  = \(19^{2}\) = 361

To find the area of the shaded region subtract the unshaded region from the total area = Area of first quadrilateral A4 - (Area of first quadrilateral A1  + Area of first quadrilateral A2 + Area of first quadrilateral A3)

= 361 - (9 + 9 + 256)

=87

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The probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

Assuming that each die is fair and that the outcome of rolling one die does not affect the outcome of rolling the others, the probability of rolling a 6 with the red die is 1/6, the probability of rolling a 5 with the green die is also 1/6, and the probability of rolling a 4 with the blue die is 1/6.

Since the three events of rolling each die are independent of each other, we can multiply their probabilities to get the probability of all three events happening at the same time, i.e., rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die:

Probability of rolling 6 with the red die = 1/6

Probability of rolling 5 with the green die = 1/6

Probability of rolling 4 with the blue die = 1/6

Probability of rolling 6 (R), 5 (G), 4 (B) at the same time = Probability of rolling R and G and B together = Probability of R × Probability of G × Probability of B

= 1/6 × 1/6 × 1/6 = 1/216

Therefore, the probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

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You have three dice: one red (R), one green (G), and one blue (B). When all three dice are rolled at the same time, calculate the probability of the following outcome: 6 (R), 5 (G), 4 (B)?

Answer: 35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer: 35N :)))))))))))))))))))))))))))))

The distance between Car A and Car B is changing at a rate of -18 mph when Car A is 4 miles from the intersection and Car B is 3 miles from the intersection.

To find the rate at which the distance between Car A and Car B is changing, we can use the concept of related rates. We need to find the derivative of the distance between the two cars with respect to time.

Let's denote the distance between Car A and Car B as "d." We can use the Pythagorean theorem to relate the distance d to the distances Car A and Car B are from the intersection. According to the theorem, d^2 = (4 miles)^2 + (3 miles)^2.

Differentiating both sides of the equation with respect to time (t), we get:

2d * (dd/dt) = 2(4 miles)(dA/dt) + 2(3 miles)(dB/dt),

where dA/dt is the rate at which Car A is approaching the intersection and dB/dt is the rate at which Car B is moving away from the intersection.

We are given dA/dt = -60 mph (negative sign because Car A is approaching) and dB/dt = 50 mph (positive sign because Car B is moving away).

Substituting the given values, d = sqrt((4 miles)^2 + (3 miles)^2) = 5 miles.

Plugging in the values, we have:

2(5 miles) * (dd/dt) = 2(4 miles)(-60 mph) + 2(3 miles)(50 mph).

Simplifying the equation, we find: 10 * (dd/dt) = -480 mph + 300 mph,

10 * (dd/dt) = -180 mph.

Finally, we can solve for (dd/dt): (dd/dt) = -180 mph / 10 = -18 mph.

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Should there be a global effort to sharply reduce the cutting and burning of old-growth forests?

Yes, there should be a global effort to sharply reduce the cutting and burning of old-growth forests. Old-growth forests are vital ecosystems that provide numerous environmental, social, and economic benefits. They are home to diverse species, including endangered ones, and play a crucial role in carbon sequestration, mitigating climate change, and preserving biodiversity.

Cutting and burning old-growth forests contribute to deforestation, habitat loss, and greenhouse gas emissions. It disrupts ecosystems, threatens species survival, and exacerbates climate change. Protecting old-growth forests is essential for maintaining ecological balance and promoting sustainable development.

Numerous references and scientific studies support the importance of preserving old-growth forests. Some relevant sources include:

"The Importance of Old-Growth Forests" by the World Wildlife Fund (WWF): https://www.worldwildlife.org/initiatives/old-growth-forests

"Old-growth forest protection: A key tool in fighting climate change" by The Nature Conservancy: https://www.nature.org/en-us/what-we-do/our-insights/perspectives/old-growth-forest-protection-fighting-climate-change/

"Old-Growth Forests: Function, Fate and Value" by the United Nations Environment Programme (UNEP): https://www.unep-wcmc.org/resources-and-data/old-growth-forests-function-fate-and-value

These resources provide comprehensive information on the importance of old-growth forest conservation and the need for global efforts to reduce cutting and burning practices.

The question provided seems incomplete and unclear. It mentions a relationship between letters of the alphabet and percentages but does not provide any context or options to choose from. Please provide more information or clarify the question, and I'll be glad to assist you further.

The point on the directed line segment from (-4,-9) to (2,3) that partitions the segment into a ratio of 1 to 3 has coordinates (1/2, 3/4).

What is the line segment?

In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both directions but a line segment has two fixed or definite endpoints.

To find the coordinates of the point that partitions the directed line segment from (-4,-9) to (2,3) into a ratio of 1 to 3, we can use the following formula:

P = (1/4)A + (3/4)B

where A = (-4,-9) is the starting point, B = (2,3) is the ending point, and P is the point we are trying to find.

Using this formula, we get:

P = (1/4)(-4,-9) + (3/4)(2,3)

= (-1,-3) + (3/2, 9/4)

= (1/2, 3/4)

Therefore, the point on the directed line segment from (-4,-9) to (2,3) that partitions the segment into a ratio of 1 to 3 has coordinates (1/2, 3/4).

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The optimal solution for this LP model is x = 2 and y = 2, with a maximum objective function value of 10

To graph the constraints, we can rewrite each inequality in slope-intercept form:

2x + 2y < 8

y < -x + 4

3x + 2y < 12

y < -1.5x + 6

x + 0.5y < 3

y < -2x + 6

Now we can plot these three lines on a coordinate plane and shade the regions that satisfy each inequality. The feasible region is the region that satisfies all three inequalities.

To find the optimal solution, we need to evaluate the objective function at each corner point of the feasible region and choose the point that maximizes the objective function.

The corner points of the feasible region are (0,0), (0,3), (1.5,3), and (2,2).

Objective function at (0,0): 3(0) + 2(0) = 0

Objective function at (0,3): 3(0) + 2(3) = 6

Objective function at (1.5,3): 3(1.5) + 2(3) = 9

Objective function at (2,2): 3(2) + 2(2) = 10

Therefore, the optimal solution is at (2,2), which gives a maximum value of 3(2) + 2(2) = 10.

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Answer:

3x^2+17x+20

Step-by-step explanation:

Answer: x = y

y = -4

y = 3x + 2

x = 8

Simplify: (-3a2b5)2

Find (x - 4)2`Find the product: (3x + 5)(4x - 1)

Use FOIL:

F: 3x*4x=12x^2

O: 3x*-1 = -3x

I: 5*4x = 20x

L: 5*-1 = -5

Combine these products to get:

12x^2+17x-5

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

Which of the following is the equation of a vertical line?

x = y

y = -4

y = 3x + 2

x = 8

Answer x=8 ; The graph is the set of points where x=8.

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

Simplify: (-3a2b5)2

=(-3a^2b^5)(-3a2b^5)

=9a^4b^10

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

Find (x - 4)^2

=(x-4)(x-4)

Use FOIL to get:

x^2-4x-4x+16

=x^2-8x+16

Step-by-step explanation:All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)

Answer:

The discount is $3.40. The total price is $13.60.

Step-by-step explanation:

Answer: I it’s D

Step-by-step explanation:I did the assignment

To set up the artificial variable LP (Phase I LP) for the given problem, we introduce an artificial variable, LP, to the objective function with a coefficient of 1. The artificial variable is used to identify infeasible solutions.

To set up the artificial variable LP (Phase I LP), we modify the objective function as follows:

Maximize Z = 4x1 + 7x2 + x3 + LP

The artificial variable LP is introduced to the objective function with a coefficient of 1. This allows us to track its value during the iterations.

The initial constraints remain the same:

2x1 + 3x2 + x3 = 20

3x1 + 4x2 + x3 + x4 = 40

8x1 + 5x2 + 2x3 - x5 = 70

The initial basic variables (BV) are the slack variables corresponding to the equality and inequality constraints, namely, x3 and x4. The artificial variable LP is initially a non-basic variable.

The initial artificial variables' basic variable (BVB) values are set to the right-hand side values of the constraints:

x3 = 20

x4 = 40

The initial artificial variable LP's value is set to 0.

Next, the artificial variable LP is selected as the entering variable, as it has a positive coefficient in the objective function. To determine the leaving variable, we perform the ratio test using the ratios of the right-hand side values and the entering column values (coefficients of LP) for the respective constraints.

The leaving variable is determined based on the minimum ratio, ensuring that the corresponding row represents a valid pivot element. If no valid pivot element is found, the problem is infeasible.

This completes the setup of the artificial variable LP (Phase I LP) without performing a complete pivot. Further steps would involve applying the simplex method and iteratively pivoting to find the optimal solution or identify infeasibility.

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Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

Answer:

She will pay $52

Step-by-step explanation:

So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars.  By the way substitute this money sign $ for the one on your page

if we take 340 as the 100%, what is 425 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 340 & 100\\ 425& x \end{array} \implies \cfrac{340}{425}=\cfrac{100}{x} \implies \cfrac{4}{5}=\cfrac{100}{x} \\\\\\ 4x=500\implies x=\cfrac{500}{4}\implies x=125\)

Answer:

90

Step-by-step explanation:

\(-3^{2}\)(-5) · 2

-3 times -3 equals 9.

9 times (-5) equals -45

-45 times 2 equals -90

The indefinite integral of (6r^2 - 5x^-2) dx over the interval (x-r^2, 2x) can be found by first finding the antiderivative of each term and then evaluating the integral limits. The result is 12r^2x + 5/x + C.

To evaluate the indefinite integral ∫(6r^2 - 5x^-2) dx over the interval (x-r^2, 2x), we can break down the integral into two separate integrals and find the antiderivative of each term.

First, let's integrate the term 6r^2. Since it is a constant, the integral of 6r^2 dx is simply 6r^2x.

Next, let's integrate the term -5x^-2. Using the power rule for integration, we add 1 to the exponent and divide by the new exponent. Thus, the integral of -5x^-2 dx becomes -5/x.

Now, we can evaluate the definite integral by plugging in the upper and lower limits into the antiderivatives we obtained. Evaluating the limits at x = 2x and x = x-r^2, we subtract the lower limit from the upper limit.

The final result is (12r^2x + 5/x) evaluated at x = 2x minus (12r^2(x-r^2) + 5/(x-r^2)), which simplifies to 12r^2x + 5/x - 12r^2(x-r^2) - 5/(x-r^2).

Combining like terms, we get 12r^2x + 5/x - 12r^2x + 12r^4 - 5/(x-r^2).

Simplifying further, we obtain the final answer of 12r^2x - 12r^2(x-r^2) + 5/x - 5/(x-r^2) + 12r^4, which can be written as 12r^2x + 5/x + 12r^4 - 12r^2(x-r^2).

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Answer:

The length is 9 units

Step-by-step explanation:

Lenght is 9, width is 4,

9 x 4 = 36

Answer:

The length of the rectangle is 9 units

Step-by-step explanation:

1. Write down what we know:

2. Write down all the ways we can get 36 and the difference between the two numbers:

3. Find the right one:

Hence the answer is 9 units

The speed baba Yaga flies in calm weather is 8.88889 km/hr.

Given the speed of tailwind is 2 km/hr

Total distance = 2 * distance to mountain

Total distance= 2 * 40

Total distance = 80 km

total time taken for the journey = the time it took Baba Yaga to fly to the mountain (6 hours)  +  time it took her to fly back home (3 hours)

The total can be calculated using the above equation which gives us a total time of 9 hours.

So, total time for the journey = 9 hours

speed in calm weather = the total distance by the total time

speed in calm weather = 80 / 9 = 8.88889 km/hr

So, Total distance =  80 km

total time = 9 hours

speed in calm weather = the total distance by the total time

speed in calm weather = 80 / 9 = 8.88889 km/hr

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Answer:

g =-2

h = 2

Step-by-step explanation:

left end      middle     right end

G(g,4)          (-2,3)         (-2,h)

Given data:

The amount Rosa earned per hour is 12.25$.

The expression for the given statement is,

Multiply the above expression by 19 1/2 on both sides.

Thus, the amount earned by Rosa in 19 1/2 hours is $238.87.

60% of the number is 50.4 will be 84.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

Let 60% of x be 50.4.

Then the equation will be

60% of x = 50.4

0.60 x = 50.4

Simplify the equation, then the value of the variable x will be

0.60x = 50.4

x = 50.4 / 0.60

x = 84

Thus, 60% of the number is 50.4 will be 84.

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The cost of goods sold for the period is $748,400.By accurately calculating the cost of goods sold, businesses can make informed decisions regarding pricing, inventory management, and overall financial performance.

To calculate the cost of goods sold (COGS), we add up the values provided in the data:

COGS = $246,800 + $242,800 + $258,800

= $748,400

The cost of goods sold for the period, based on the given data, is $748,400. The COGS represents the direct costs incurred by a company to produce the goods sold during a specific period. It includes the cost of raw materials, direct labor, and other direct production expenses.

Accurately calculating the COGS is crucial for financial analysis and decision-making. By subtracting the COGS from the total sales revenue, we obtain the gross profit, which is a key indicator of a company's profitability. The COGS also helps determine the company's gross margin, which indicates the percentage of revenue that remains after accounting for the cost of producing goods.

For effective inventory management, it is important for businesses to monitor and control their COGS. It allows them to assess the efficiency of their production processes, identify cost-saving opportunities, and evaluate pricing strategies. Additionally, tracking the COGS helps businesses determine the profitability of specific product lines or services.

The COGS provides valuable insights into a company's operational efficiency and profitability.

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Answer:

x = 3

Step-by-step explanation:

y is directly proportional to x²:   \(y \propto x^2\)

Therefore,  \(y=kx^2\) for some constant \(k\)

Given y = 20 when x = 2

Substitute given values into \(y=kx^2\):

⇒ 20 = k · 2²

⇒ 20 = 4k

⇒ k = 20 ÷ 4 = 5

Therefore, equation is  y = 5x²

Substitute y = 45 into the equation and solve for x:

⇒ 45 = 5x²

⇒ x² = 45 ÷ 5 = 9

⇒ x = √9 = 3

Answer:

1/3

Step-by-step explanation:

To get the scale factor , we have to divide the lengths of the similar sides on both shapes

What we have to do here is to divide the left length of each

we have this as 6/18 since they both represent the length

we have this as 1/3