The endpoints of segment AB are A (-7, 3) and B (1, 0). Find the coordinates of the midpoint M. SHOW WORK​

The value of the yakubu and bello business is N80,000.

Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.

The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.

Now, let's assume the value of the business is represented by "V" (to be determined).

Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.

The value of 9/4 parts of the business is N180,000, so we can set up the following equation:

(9/4) * V = N180,000

To solve for V, we multiply both sides of the equation by 4/9:

V = (4/9) * N180,000

V = N80,000

Therefore, the value of the business is N80,000.

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If all of the discretionary expenses are eliminated, there would be $569.56 per month available to put towards savings.

What is meant by expenses?

Expenses refer to the costs or expenditures incurred in the course of doing business or any other activity. They are typically measured in monetary terms and can include items such as supplies, rent, wages, and other operating costs.

What is meant by savings?

Savings refer to the amount of money that is not spent or used for consumption after accounting for expenses. It can be calculated by subtracting total expenses from total income and is often used as a measure of financial stability or success.

According to the given information

First, let's calculate the total income for one week of work:

Hourly pay: $12.75/hr

Weekly hours worked: 45 hr/wk

Regular pay = Hourly pay x Weekly hours worked = $12.75 x 45 = $573.75

Now, let's calculate the deductions:

FICA: 6.65% of $573.75 = $38.17

Federal tax withholding: 9.75% of $573.75 = $55.91

State tax withholding: 6.5% of $573.75 = $37.28

Total deductions = $38.17 + $55.91 + $37.28 = $131.36

So the total realized income for one week of work is:

Realized income = Regular pay - Total deductions = $573.75 - $131.36 = $442.39

Since a month is assumed to be 4 weeks, the total realized income for one month is:

Total realized income = Realized income x 4 = $442.39 x 4 = $1769.56

Assuming fixed expenses of $1200 per month, the discretionary expenses are:

Discretionary expenses = Total realized income - Fixed expenses = $1769.56 - $1200 = $569.56

Next, let's calculate the total income for the next month, assuming you work 22 hours of overtime and are paid 1.5 times your regular rate for only the overtime pay:

Overtime pay rate: $12.75 x 1.5 = $19.13/hr

Overtime hours: 22 hr

Regular hours: 45 hr

Regular pay = $12.75 x 45 = $573.75

Overtime pay = $19.13 x 22 = $420.86

Total income = Regular pay + Overtime pay = $573.75 + $420.86 = $994.61

Now, let's calculate the deductions for the next month:

FICA: 6.65% of $994.61 = $66.11

Federal tax withholding: 9.75% of $994.61 = $97.03

State tax withholding: 6.5% of $994.61 = $64.65

Total deductions = $66.11 + $97.03 + $64.65 = $227.79

So the total realized income for the next month is:

Realized income = Total income - Total deductions = $994.61 - $227.79 = $766.82

Assuming the same fixed expenses of $1200 per month, the discretionary expenses are:

Discretionary expenses = Total realized income - Fixed expenses = $766.82 - $1200 = -$433.18

Since the discretionary expenses are negative, it means there is not enough money to cover them. In this case, it would be necessary to cut down on discretionary expenses or find ways to increase income.

Finally, let's assume that the discretionary expenses are eliminated. The total realized income would be:

Total realized income = Realized income - Discretionary expenses = $1769.56 - $569.56 = $1200

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Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

Answer:

y = 3/2x + 2

Step-by-step explanation:

first things first write the equation is y = mb+b form which would be 2y  = 3x + 14 then divide everything by 2 to get y by itsself --> 3/2x + 7  for an equation to be paralle the equation needs the same slope which is -6 so 3/2(-6) = -9 so the next equation would also start with 3/2x,  so you would then do this:

-11 = -9 + b (y = mx+b)

b = -9 + 11 --> b = 2

so the equation is

y = 3/2x + 2

Answer: 41 units

Step-by-step explanation: took the quiz

The length of the diagonal is 41 units.

To find the length of a diagonal.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

Let a right triangle with legs length 9 units and 40 units and hypotenuse is the diagonal length c.

\(a^{2} +b^{2} =c^{2}\)

\(9^{2} +40^{2} =c^{2}\)

\(81+1600=c^2\\1681=c^2\)

sqrt both sides

41=c

So, the length of the diagonal is 41 units.

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Answer:

BC = 25 in

AN = 12 in

BN = 16 in

NC = 9 in

Formulas:

Pythagorean Theorem

\(c^2 = a^2 + b^2\)

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Area of triangle

\(A = \frac{1}{2}bh\)

A ... area of triangle

b ... base (one of the sides of the triangle)

h ... height perpendicular to base

Step-by-step explanation:

Given:

A = 90°

AB = 20 in

AC = 15 in

See attached picture.

1) BC

To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.

\(c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}\)

2) AN

AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.

Notice how AB is perpendicular to AC. We can use AB as base and AC as height.

\(A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2\)

Now that we have area, we can use BC as base and AN as height and solve for AN.

\(A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}\)

3) BN

Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.

\(c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}\)

4) NC

We know the lengths of BC an BN, so we can just subtract.

\(\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}\)

The angle of elevation of the ladder is approximately 78.7 degrees. The ladder reaches approximately 22.2 ft high on the building.

To find the angle of elevation of the ladder, we can use trigonometry. The angle of elevation is the angle between the ladder and the ground.

Given:

Length of the ladder (hypotenuse) = 23 ft

Distance of the base of the ladder from the base of the building (adjacent side) = 6 ft

To find the angle of elevation (θ), we can use the inverse tangent function (arctan) with the ratio of the opposite side to the adjacent side:

\(\theta = tan^{-1}(opposite/adjacent)\)

In this case, the opposite side is the height the ladder reaches on the building.

Using the Pythagorean theorem, we can find the height (opposite side):

\(Height^2 = Length of the ladder^2 - Distance of the base^2\\Height^2 = 23^2 - 6^2\\Height^2 = 529 - 36\\Height^2 = 493\\Height = \sqrt{493}\)

Now, we can calculate the angle of elevation:

\(\theta = tan^{-1}(opposite/adjacent)\\\theta = tan^{-1}(\sqrt{493} / 6)\)

Calculating this value, we find:

θ ≈ 78.7 degrees (rounded to one decimal place)

Therefore, the angle of elevation of the ladder is approximately 78.7 degrees.

To find how high the ladder reaches on the building, we substitute the calculated value of the height:

Height = \(\sqrt{493}\)

Height ≈ 22.2 ft (rounded to one decimal place)

Therefore, the ladder reaches approximately 22.2 ft high on the building.

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Answer:

434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

Answer:

Hello! answer: area is 6 cm2

Step-by-step explanation:

Triangle area formula: base × height ÷ 2 or base × height × 1/2 so...

12 × 16 = 192 192 ÷ 2 = 96

12 ÷ 4 = 3

16 ÷ 4 = 4

3 × 4 = 12 12 ÷ 2 = 6 therefore the area is 6 hope that helps!

Answer:

6 cm²

Step-by-step explanation:

Given the sides of 2 similar figures in the ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 3 : 12 = 1 : 4

ratio of areas = 1² : 4² = 1 : 16

That is the area of the larger polygon is 16 times the smaller, so

area of smaller polygon = 96 ÷ 16 = 6 cm²

Answer:

74/5

Step-by-step explanation:

15x5 =75 5ths. 1/5 + 74/5 = 75/5

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

Answer:

64

Step-by-step explanation:

its 70-2-4 = 64

70-2

=68 -4

=64

The linear function y = (1/2)x + 1 represents a line that passes through the points (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4). The line rises as it moves to the right and intersects the y-axis at (0, 1).

To plot the ordered pairs for the given linear function y = (1/2)x + 1, we will substitute the values from the domain D = {-8, -4, 0, 2, 6} into the equation and calculate the corresponding values for y.

Let's calculate the y-values for each x-value in the domain:

For x = -8:

y = (1/2)(-8) + 1

y = -4 + 1

y = -3

So, the ordered pair is (-8, -3).

For x = -4:

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

y = -2 + 1

y = -1

The ordered pair is (-4, -1).

For x = 0:

y = (1/2)(0) + 1

y = 0 + 1

y = 1

The ordered pair is (0, 1).

For x = 2:

y = (1/2)(2) + 1

y = 1 + 1

y = 2

The ordered pair is (2, 2).

For x = 6:

y = (1/2)(6) + 1

y = 3 + 1

y = 4

The ordered pair is (6, 4).

Now, let's plot these ordered pairs on a coordinate plane. The x-values will be plotted on the x-axis, and the corresponding y-values will be plotted on the y-axis.

The points to plot are: (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

After plotting the points, we can connect them with a straight line to represent the linear function y = (1/2)x + 1.

The graph should show a line that starts in the lower left quadrant, rises as it moves to the right, and intersects the y-axis at the point (0, 1).

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Answer:

it will be the correct answer..

because

The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.

Answer:

Step-by-step explanation:ya

Answer: D. 35 in

Step-by-step explanation:

To find the perimeter of a composite shape you have to add all the sides together.

we know that we have

- 16in

- 5in

- 5in

(for the rectangle)

I used the Pythagorean theorem to find the hypotenuse of the triangles (the outer sides)

6^2+b^2=8^2

b = 5.3 (when rounded to the nearest tenth)

so then we add all the sides together which is now

16+5+5+5.3+5.3= 36.6

The closest to this was answer D aka 35 in

(hope this helps, and I'm sorry if I was wrong)

Answer:

finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.

27 x

50 X

100

=D1%

Step-by-step explanation:

The number in the log as a power of the base y = -6.

What is  logarithmic identity ?

Logarithmic identities are mathematical formulas or rules that are used to manipulate logarithmic expressions. These identities are derived from the properties of logarithms and can be used to simplify or solve logarithmic equations.

The following are some commonly used logarithmic identities:

Product rule: log_a (x * y) = log_a (x) + log_a (y)

This identity states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.

Quotient rule: log_a (x / y) = log_a (x) - log_a (y)

This identity states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.

According to the question:
To write the number in the log as a power of the base, we can use the following logarithmic identity:

log_a (x) = y is equivalent to\(a^y = x\)

Using this identity, we can rewrite the logarithmic expressions as follows:

y = log3 243 can be written as \(3^y = 243\)

y = log2 1/64 can be written as \(2^y = 1/64\)

Now, we can solve for y by taking the appropriate power of both sides of each equation:

For the first equation, we can write:

\(3^y = 243\)

\(3^y = 3^5 (since 243 = 3^5)\)

Therefore, y = 5.

For the second equation, we can write:

\(a^y = 1\)

Since any non-zero number raised to the power of 0 is equal to 1, we have:

\(a^y = a^0\)

Therefore, y = 0.

For the third equation, we can write:

\(2^y = 1/64\)

\(2^y = 2^-6 (since 1/64 = 2^-6)\)

Therefore, y = -6.

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Answer:

False

Step-by-step explanation:

supplementary means 180 and right angle is 90 so 180-90 gives us 90 which is also a right angle. So false, acute angle is when the angle is less than 90. If it is excatly 90 then that would be right angle.

Answer:

0.5

Step-by-step explanation:

First find the mean of the data

3+4+4+5 = 16

16/4 = 4

Find the distance of each data to the mean

4-3 =  1

5-4= 1

4-4 = 0

4-4 = 0

Now find the mean of those

1+1+0+0 = 2

2/4

MAD = 0.5

Answer:

12

Step-by-step explanation:

Because you would divide the total number of points which is 48 by the number of games he's played which is 4 and you would get 12, since 48 divided by 4 is 12

Answer:12

Step-by-step explanation:hope this help

Answer:

The cafe sold 11 regular coffees.

Step-by-step explanation:

50% of the total 22 coffees is the same as saying half of 22. Divide 22 by 2 to get 11.

Answer:

Write the problem as a mathematical expression.

22/50%

Convert to a decimal.

0.0044

Answer:4x-y-11=0

Step-by-step explanation:

The solution is in the attached file

Answer:

c) 2.2 feet

Step-by-step explanation:

1) Iris' puppy is 2 1/5 feet long. Which

decimal represents Iris' puppy's length?

c) 2.2 feet

Answer:

(6/5) mph

Step-by-step explanation:

The logarithm expression when evaluated is lg(1000a²/b⁴)

From the question, we have the following parameters that can be used in our computation:

3+2lg a-4lg b

Apply the exponent law of logarithm

3 + lga² - lgb⁴

Apply the quotient law of logarithm

So, we have the following representation

3 + lg(a²/b⁴)

Also, we have

lg1000 = 3

Next, we have

lg1000 + lg(a²/b⁴)

So, we have

lg(1000a²/b⁴)

Hence, the solution is lg(1000a²/b⁴)

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The required amount that Ethan have to pay is $32.

A sales discount is a marked down cost presented by a business on an item or administration. Figure out how to remember limits for solicitations. A deals rebate, likewise usually known as only a 'markdown' furnishes clients of a business with a diminished rate on at least one of the items or administrations being advertised.

We have,

Selling price = $39.99

Discount = 20%

20% of $39.99 = 20×$39.99/100

⇒ $7.99

So the payable amount for video game = $39.99 - $7.99

⇒ $32

Thus, required price is $32.

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