How long will take to get a simple interest birr 60 on birr 800 at a rate of 5% perannum

The location is between values of 1 1/2 and 9.

The values being absolute it means that they have no sign, i.e. they can be either positive or negative.

Since the values are both positive, you have to draw a positive number line.

The purple line indicates the possible locations over the number line.

The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The value that appears the most frequently on the list is the mode.

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Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Answer:

1,374.00

Step-by-step explanation:

.

Answer:

f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0

Step-by-step explanation:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

π is equivalent to 3.14

Circumfrance =  53

area = 227

Step-by-step explanation:

π is equal to 3.14

Circumfrance = 8.5*2*π

So 8.5 * 2 is 17 times π is 53.38

round to nearest whole number is 53

area is π * radius squared so

8.5 * 8.5 =72.25

* π is 226.865

round to the nearest whole number is 227

Answer:

1x29

Step-by-step explanation:

The prime factorization of 29 is simply 29 as it is prime number.

Prime factorization is the process of expressing a composite number as a product of its prime factors.

It involves breaking down a number into its constituent prime numbers, which are the building blocks of all other positive integers.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Since 29 is a prime number, it cannot be further factored into smaller prime factors.

Therefore, the prime factorization is 29.

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When A'B'C' is reflecting in origin, A" (4, 1), B" (0, -7), and C" are the coordinates of the vertices' pictures (-2, -5).

The vertices of ABC are A (4, -1), B (0, 7), and C (-2, 5), respectively.

The coordinates of the points for ABC will be A' (-4, -1), B' (0, 7), and C' after reflecting in the y-axis (2, 5).

Once more, when "A'B'C" is reflecting in origin, "A" will be at (4, 1), "B" will be at (0, -7), and "C" will be at (4, 1). (-2, -5).

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There are 12 possible functions that satisfy the given conditions.

Since there are 5 possible outputs for each of the three inputs, there are a total of 5^3 = 125 possible functions that can be defined. However, we need to consider the condition that f(1) < f(2) < f(3).

Without loss of generality, we can assume that f(1) = 1. Then, f(2) can be any integer from 2 to 5, and f(3) can be any integer from f(2)+1 to 5. Therefore, there are 4 choices for f(2) and 3 choices for f(3), giving a total of 4*3 = 12 possible functions that satisfy the condition.

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Answer:

#2 and #4

Step-by-step explanation:

area is length times width, so to find your answer you must multiply all the lengths and widths given in the table. when you multiply 3x+6 and 4 (for #2) and simplify, you get 12x+24. when you multiply 2x+4 and 6 (for #4) and simplify, you get the same thing: 12x+24.

Step-by-step explanation:

a) Total amount collected in summer and winter fair: 14677+ 18340 = AED: 33017

b) in winter fair, more money was collected and by (18340-14677= )AED: 3663

Answer: You didn't show us the graphs so we can't tell you.

Step-by-step explanation:

If a sequence is defined using previous terms, it is known as a recursively defined sequence.

This type of sequence relies on the previous terms to determine the next term in the sequence. The number of terms that are required to define a recursively defined sequence varies depending on the specific sequence. However, if the first few terms of the sequence are given, it can help determine the pattern and the formula used to generate subsequent terms. A good understanding of recursive sequences can be helpful in many areas, including computer programming, mathematics, and finance. A sequence that is defined using its initial terms and a rule relating its subsequent terms to the previous ones is called a recursively defined sequence. In such sequences, each term's value depends on one or more earlier terms. The first few terms serve as the basis, and the recursive formula generates the remaining terms. This approach allows us to find any term in the sequence based on previous ones, ensuring a consistent pattern and progression.

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Answer:

The answer is 4 people

Step-by-step explanation:

If one student took 1/4 pound of clay then there would be i less quarter of clay for the other students. Think of it as 4 quarters, if one person only took one quarter then only 4 people are able to take a quarter. so if there are 4 quarters of clay only 4 people are gunna get clay.

Hope this helps!!

To have a batting average of at least .375, the baseball player with 327 at bats needs at least 123 hits.

Batting average is calculated by dividing the number of hits by the number of at bats. To determine the number of hits needed to achieve a specific batting average, we can set up a proportion. The desired batting average of .375 is equivalent to 375 hits per 1,000 at bats.

So, we can set up the proportion:

Hits/At bats = 375/1000

Cross-multiplying gives us:

Hits * 1000 = 375 * At bats

Since we know the player has 327 at bats, we can substitute this value into the equation:

Hits * 1000 = 375 * 327

Dividing both sides by 1000, we get:

Hits = (375 * 327) / 1000

Calculating this expression gives us:

Hits ≈ 123

Therefore, the baseball player needs at least 123 hits in 327 at bats to achieve a batting average of at least .375.

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The mean weight will not be  equal to 42 ounces.

Based on the given information, we have conducted a hypothesis test with the null hypothesis H0: μ=42 and alternative hypothesis H1: μ≠42, where μ is the mean weight of the new variety of giant tomato.

The null hypothesis is rejected, which means that there is strong evidence against the claim made by the garden supplier that the mean weight is 42 ounces.

Therefore, we can conclude that the mean weight is not equal to 42 ounces, and it could be either more or less than 42 ounces. The appropriate conclusion is "The mean weight is not equal to 42 ounces."

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A Mathematical model for the determination of total area under glucose tolerance and other metabolic curves is called: Tai Mathematical model.

The Team Assisted Individualization method is a learning method developed by Slavin, Leavy, Kraweit and Madden in 1982 to 1985 in the book Cooperatine Learning: Theory, Research and Practice.

The Team Assisted Individualization method is structured to solve problems in teaching programs, for example in terms of individual student learning difficulties. This model pays attention to differences in the initial knowledge of each student to achieve learning achievement.

Students individually study learning material that has been prepared by the teacher. Individual learning outcomes are brought to groups to be discussed and mutually discussed by group members and all group members are responsible for the overall answer as a shared responsibility.

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Hence, the minimum number of at-the-door tickets she needs to sell to make her goal is (B) 334.

Given information: Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets $25. The venue has the capacity to hold 400 people.

The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise at least $5,000 for her school.

The minimum number of at-the-door tickets she needs to sell to make her goal can be calculated as follows;

Let's suppose that x represents the number of pre-sale tickets, and y represents the number of at-the-door tickets Anna needs to sell.

Then the following equation represents the total amount of money Anna will earn after selling the given number of tickets;

10x + 25y ≥ 5,000

If she sells all the tickets, she will have sold a total of x + y tickets. But, we know that the venue has a capacity of 400 people.

So, we also know that;

x + y ≤ 400

Solving the two equations for y gives;

10x + 25y ≥ 5,00025y ≥ 5,000 - 10x y ≥ (5,000 - 10x)/25y ≥ 200 - 0.4xy ≤ 333.3 - 0.4x

Answer: B.334.

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Answer:14

Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)

the expected number of tosses to get the first heads is 2.75 tosses.

To calculate the expected number of tosses to get the first heads, we can consider the probabilities associated with each coin and their respective probabilities of getting heads.

Let's denote the expected number of tosses as E.

For coin A:

The probability of selecting coin A is 1/4, and the probability of getting heads with each toss is 1/2.

So, the expected number of tosses for coin A is 1 / (1/2) = 2.

For coin B:

The probability of selecting coin B is 3/4, and the probability of getting heads with each toss is 1/3.

So, the expected number of tosses for coin B is 1 / (1/3) = 3.

To find the overall expected number of tosses, we need to consider the probabilities of selecting each coin.

Expected number of tosses = (Probability of selecting coin A * Expected number of tosses for coin A) + (Probability of selecting coin B * Expected number of tosses for coin B)

Expected number of tosses = (1/4 * 2) + (3/4 * 3)

Expected number of tosses = 1/2 + 9/4

Expected number of tosses = 2/4 + 9/4

Expected number of tosses = 11/4

Expected number of tosses = 2.75

Therefore, the expected number of tosses to get the first heads is 2.75 tosses.

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The lower and upper limits of the confidence interval can be determined using the sample mean and sample standard deviation.

Given the sample readings of total calcium levels in mg/dl, we can calculate the sample mean (x) and sample standard deviation (s). Using these values, we can determine the lower and upper limits of the 99.9% confidence interval.

Calculating the sample mean:

x = (9.9 + 8.6 + 10.9 + 8.5 + 9.4 + 9.8 + 10.0 + 9.9 + 11.2 + 12.1) / 10 = 10.03 mg/dl

Calculating the sample standard deviation:

s = sqrt(((9.9 - 10.03)^2 + (8.6 - 10.03)^2 + ... + (12.1 - 10.03)^2) / (10 - 1)) = 1.16 mg/dl

To determine the 99.9%   confidence interval, we need to find the critical value corresponding to this level of confidence. Since the sample size is small (less than 30) and the population standard deviation is unknown, we can use the t-distribution. With a sample size of 10 and a desired confidence level of 99.9%, the critical value is approximately 3.250.

Calculating the margin of error:

Margin of error = critical value * (s / sqrt(n))

= 3.250 * (1.16 / sqrt(10))

≈ 1.19

The lower limit of the confidence interval is given by x - margin of error:

Lower limit = 10.03 - 1.19 ≈ 8.84 mg/dl

The upper limit of the confidence interval is given by x + margin of error:

Upper limit = 10.03 + 1.19 ≈ 11.22 mg/dl

Therefore, the 99.9% confidence interval for the population mean of total calcium in this patient's blood is approximately 8.84 mg/dl to 11.22 mg/dl.

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The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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Answer:

17

Step-by-step explanation:

Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so

\(50 + x + x = 180\)

\(50 + 2x = 180\)

\(2x = 130\)

\(x = 65\)

This means angle b and C of the triangle ABC measure is 65.

External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.

This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so

\(32.5 + 65 + x = 180\)

\(98.5 + x = 180\)

\(x = 81.5\)

Angle C is 81.5 as well so

\(81.5 + 81.5 = 163\)

Find angle o

\(180 - 163 = 17\)

Answer:

n ≥ 6.24/x

Step-by-step explanation:

Given that :

Amount spent is atleast $6.24

Let price spent = p

p ≥ $6.24

If cost of granola bar = x

The number of granola bars, n purchased will be :

n ≥ 6.24/x

Since cost of granola bar isn't given, we represent it as x.

You can infer that the exponential model is a better fit for the data in the experiment, as it has smaller residuals than the quadratic model.

Residuals are the difference between the actual data points and the predicted values generated by the model. They are a measure of how well a model fits the data, and a lower residual indicates a better fit. Therefore, if the student's exponential model has smaller residuals than their quadratic model, it can be concluded that the exponential model is a better fit for the experiment data.

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Answer:

Not linear

Step-by-step explanation:

Can be written into the form of \(y=mx+b\\\).

Answer:

The answer is 72

First you find E=180-130=50

Then you add all the angles and subtract from 360

102+100+50=252

360-252=108

then you do 180-108=72

Answer:

72 degrees.

Step-by-step explanation:

The first step would be finding E. We know that a straight line would be 180 degrees. Therefore, we would subtract 180-130=50.

100+102+50+b=360

252+b=360

-252   -252

b=108

Then we would subtract 180-108=72.

Therefore, because it is the angle we are looking for.

Your answer would be the measure of angle ABC is 72 degrees.

The three positive consecutive even integers are 10, 12 and 14.

Find three positive consecutive even integers such that the product of the first and third is 8 more than 11 times the second

Let

x = first integer

Therefore,

x, x + 2, x + 4

x(x + 4) = 8 + 11(x + 2)

x² + 4x = 8 + 11x  + 22

x² + 4x - 11x - 8 - 22 = 0

x² + 7x - 30 = 0

x² - 3x + 10x - 30 = 0

x(x - 3) + 10(x - 3) = 0

(x - 3)(x + 10) = 0

Recall they are positive.

Therefore,

x = 10

10 + 2 = 12

12 + 2 = 14

Therefore, the integers are 10, 12 and 14.

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The domain and range of the line given is expressed s:

Domain: x ≥ 0

Rangel: y ≥ 0

Determining the domain and range of a function

The given graph is a line graph. The domain of the graph are the values along the line lying on the x-components while the range are the values lying along the y-axis.

Since the line projects from the origin to infinity, hence the domain of the line will be (0, ∞) while the range of the graph is also  (0, ∞).

The domain and range can also be expressed as:"

Domain: x ≥ 0

Rangel: y ≥ 0

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