15 examples of real life situations where we apply approximation​

Step-by-step explanation:

even though it is not the only thing that has to do with it all in

Answer:

600/2000= 30%

Step-by-step explanation:

The percentage of the budget Michael allocated to transportation is 30%

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Michael budgets $600 of the $2,000 he brings home for

transportation expenses.

Here, percentage = 600/2000 ×100

= 600/20

= 30%

Therefore, the percentage of the budget Michael allocated to transportation is 30%

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Answer: y = -3x - 4

Step-by-step explanation:

Slope intercept form would be y = mx + b. To get your equation to this form you would need to isolate for y as shown:

3x + y = -4

y = -3x - 4 <-- Here I subtracted both sides by 3x

Before finding the probability of being dealt 4 Aces of cards, let's find the probability of being dealt an Ace card on each draw.

The probability of getting an specific card from a deck is given by the ratio between the amount of this specific card and the total amount of cards. We have 4 Aces in a deck, and 52 cards, therefore, the probability of getting an Ace is

Since the cards are replaced, it is the same probability of getting an Ace on each draw.

Each draw is an independent event, the probability of them happening simultaneously is given by their product. The probability of being dealt 4 Aces of cards with a replacement is

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:

120-90

=30

the change in stock price is $30 per share

The net operating income will be $ 5000.

The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.

Here we have  

A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.

In total 10,000 units are sold  

The net operating income will be computed by Subtracting all expenditures from all money collected on the product.    

Net operating income = ($10 - $6) × 10000 - $ 35000

= ($10 - $6) × 10000 - $ 35000  

=  $ 40000 - $ 35000

= $ 5000    

Therefore,

The net operating income will be $ 5000.

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The Expected Value of a Discrete Probability Distribution

Given a number of events:

x = {x1, x2, x3,..., xn}

And their respective probabilities:

P = {p1, p2, p3,..., pn}

The expected value is calculated as follows:

We are given:

x = {-1.25, -0.25, 0, 1.25}

P = {0.1, 0.4, 0.2, 0.3}

Substituting:

Calculating:

The expected value is $0.15

The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.

To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:

1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.

Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.

Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230

Step 3: Round the answer to four decimal places.
Area = 0.3663

So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.

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Step 1

The order of rotational symmetry of an equilateral triangle is 3. This means that if you rotate a triangle about its center by 120 degrees or a multiple of 120 degrees not above 360, it carries the equilateral triangle onto itself.

Step 2

The answers will therefore be

1) A 240-degree rotation about the center T carries the equilateral triangle onto itself.

2) A 360-degree rotation about the center T carries the equilateral triangle onto itself.

Hence the two students with true statements are student 2 and student 5

Answer:

196 feet

Step-by-step explanation:

Let be A the point where Jon is standing, B the point at the base of the cliff and C the point where Marvin is standing, this situation resemble to a right triangle .AB us the distance from the base of the cliff, that is 60 feet.

m<BAC is 73° .We need to find BC.

Right angle is <ABC

tan73°=BC/AB

tan73°=x/60

x=tan73°*60=3.27*60=196 feet approximately.

To learn abount the students opinion about nutritional quality of school lunch the cashier asked each every fifth student as they pay for their lunch.

This type of sampling method is when you take the sample using a fixed and periodic interval and is called systematic sampling

Answer:

9/7is the chance of coming red ball

Answer:

the answer to your question is 9/7 chances are there for the red marbles

hope this helps

Answer:

1/2 (1 and a half)

Step-by-step explanation:

We get this because 2/3  are half of a whole. If we take half of 2/3 and multiply it by 2 we get a whole number. In this case it is 1.

Answer:

y = 2/x - z

Step-by-step explanation:

The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

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Answer:

( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.

Step-by-step explanation:

First, let's simplify the mixed numbers by converting them to improper fractions:

15/6 + 7/3 = (15x2)/(6x2) + (7x2)/(3x2) = 30/12 + 14/12 = 44/12

1 1/5 - 1/10 = (5/5 x 1) + 1/5 - 1/10 = 5/5 + 2/10 - 1/10 = 9/10

Now we can perform the multiplication:

(44/12) x (9/10) = (11x4)/(3x2) x (9/10) = 44/6 x 9/10 = (22x2)/3 x 9/10 = 44/15

So ( 1 5/6+7 1/3) x ( 1 1/5 - 1/10) = 44/15 as an improper fraction, or 2 14/15 as a mixed number.

Answer:

\(\frac{605}{60}\) or \(10\frac{5}{60}\)

Step-by-step explanation:

First, convert the mixed fractions to improper fractions:

\((\frac{11}{6} +\frac{22}{3} )*(\frac{6}{5} -\frac{1}{10} )\)

Then find the LCM of the denominators of the first fractions ( 6 ):

\((\frac{11}{6} +\frac{44}{6} )*(\frac{6}{5} -\frac{1}{10} )\)

Then add the numerators:

\((\frac{55}{6} )*(\frac{6}{5} -\frac{1}{10} )\)

After that, find the LCM of the denominators of the second fractions ( 10 ):

\((\frac{55}{6} )*(\frac{12}{10} -\frac{1}{10} )\)

Then deduct the values:

\(\frac{55}{6} *\frac{11}{10}\)

Finally, multiply the values:

\(\frac{605}{60}\) or \(10\frac{5}{60}\)

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.

It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.

Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;

= (1 / 6)²

= 1² / 6²

= 1/36.

Ultimately, the equivalent expression is; 1 / 36.

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Answer:

1/2 cm

Step-by-step explanation:

the area of the triangle is √3/4cm^2.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, given that,

An equilateral triangle with side length 1 cm .

we know,

area of An equilateral triangle

=√3/4×side²

so, the area of the triangle = √3/4×1

                                            =√3/4 cm^2

hence,  the area of the triangle is √3/4cm^2.

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Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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Domain and range are the possible values a function can take as input and output, respectively.

Given that:

\((b,M) \to\) The ordered pair

Where:

\(b \to\) Number of bags of mandarins

\(M \to\) Number of mandarins

To determine the domain and range, we consider the following:

The shelf can hold a maximum of 20 bags implies that the domain of the relation is from 0 to 20. i.e. \(0 \le b \le 20\)

When there is no bag on the shelf, the number of mandarin is:

\(M = 12 \times 0 = 0\)

When the shelf has the maximum (i.e. 20 bags), the number of mandarin is:

\(M = 12 \times 9 = 108\)

This implies that the range of the relation is: \(0 \le M \le 108\)

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Answer:

$15 will be the correct answer!

Step-by-step explanation:

250 x 0.06 = 15

Answer:

$15

Step-by-step explanation:

6% = 0.06

0.06 x 250 = 15

Answer:

A = 5 ;  B = 6

B = 7 ; C = 8

C = 9 ; D = 10

convert C:D where C is equals to C in B:C

C = 144 ; D = 160    

convert B:C where B is equals to B in B:C

C = 144 B = 126

convert A:B where B is equals to B in B:C

B = 126 A = 30

A = 30, B = 126, C = 144, D = 160

ratio

Step-by-step explanation:

The company's earnings per share can be calculated using the provided data, including the net income and shares outstanding, resulting in a specific dollar amount.

Earnings per share (EPS) is a financial ratio that indicates the portion of a company's net income attributed to each outstanding share of common stock. To calculate EPS, the net income is divided by the number of shares outstanding. In this case, the net income is $150 million, and the shares outstanding are 300 million. Dividing the net income by the shares outstanding gives us an earnings per share of $0.50.

Therefore, the correct answer is option C, $0.50. This indicates that for each outstanding share of Accessories Unlimited's common stock, the company generates $0.50 of earnings.

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Answer:

A

Step-by-step explanation:

sin x° = opposite/Hypotenuse

Answer:

11/5 x^2 + 5/2 xy + 3/2 y.

Step-by-step explanation:

2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)

= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y

= 11/5 x^2 + 5/2 xy + 3/2 y.

The given binary integer program represents a decision problem for selecting potential locations for new warehouses. The objective is to maximize the net present value, subject to several constraints. Let's analyze the program:

Objective:

Maximize 20x1 + 30x2 + 10x3 + 15x4

Decision Variables:

x1, x2, x3, x4 (binary variables representing the selection of each location)

Constraints:

Constraint 1: 5x1 + 7x2 + 12x3 + 11x4 ≤ 21

This constraint represents the limitation on the total budget/capital available for the new warehouses.

Constraint 2: x1 + x2 + x3 + x4 ≥ 2

This constraint ensures that at least two locations are selected for the new warehouses.

Constraint 3: x1 + x2 ≤ 1

This constraint limits the selection to a maximum of one location from the first two potential locations.

Constraint 4: x1 + x3 ≥ 1

This constraint ensures that at least one location is selected from the first and third potential locations.

Constraint 5: x2 = x4

This constraint imposes the condition that the selection of the second and fourth potential locations must be the same.

The binary variables x1, x2, x3, and x4 can take values of 0 or 1, indicating whether a particular location is selected or not.

The objective is to maximize the net present value of the decision while satisfying the budget constraint and the conditions for the number and specific locations of the warehouses. The values of x1, x2, x3, and x4 will determine the optimal selection of locations that maximize the objective function while meeting all the given constraints.

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