The lumber store sells planks in 8 foot pieces. They have an error
tolerance of 4%, What is the minimum length that you can buy
and what is the greatest length you can buy?

Answer: 2187

Step-by-step explanation: Raise 3 to the power of 7 = 2187

The mean age (nearest year) of all the people in the office is 22.4.

Age for women

Age = 12 women × 22 years old / 12

Age = 264 /12

Age = 22

Age for men

Age = 3 men × 24 years old / 3

Age = 72/3

Age = 24

Now let find the mean age

Mean age = Sum of men and women age / Number of men and women

Mean age = 264 + 72 / 12 +3

Mean age = 336 /15

Mean age = 22.4

Therefore the mean age is 22.4.

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In the year 2018, the amount that Chase owes in federal income taxes is $16, 280.70

In 2018, Chase earned $91, 630 which put him in the 24% tax bracket. Here, his tax is $14,089.50 plus 24% of every dollar above $82,500.

The amount that Chase made above $82, 500 is:

= 91, 630 - 82, 500

= $9, 130

The federal income tax that Chase owes is therefore:

= 14, 089.50 + (9, 130 x 24%)

= 14, 089.50 + $2, 191. 20

= $16, 280.70

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Answer: $16,280.70

Step-by-step explanation:

First, find the difference between $91,630 and $82,500 to find the amount that is taxed at the 24% tax rate.

$91,630−$82,500=$9,130

Now, multiply $9,130 by 24% to find the additional amount of tax.

$9,130⋅24%=$2,191.20

Add $2,191.20 to $14,089.50 to find the total amount of federal income taxes Chase owes.

$2,191.20+$14,089.50=$16,280.70

Therefore, Chase owes $16,280.70 in federal income taxes for 2018.

The value of b after solution of the expression, b-14 = -10, is 4.

According to the question,

We have the following expression:

b-14 = -10

Now, we will first add 14 on both sides of the above equation:

b = -10+14

We know that when two integers are of different signs then the smaller number is subtracted from the larger number but the sign in the result is of the larger number.

So, in this case, 14 is larger than 10 then the result will be positive.

So, we have the following expression:

b = 4

Hence, the correct option is B.

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The Z-score of a value is the count of the number of standard deviations between the value and the mean of the set. Hence, the height of a man with a z-score is [tex]25.35inches[/tex]

What is z-sore ?

The z-score of a value is the count of the number of standard deviations between the value and the mean of the set. You can find it by subtracting the value from the mean and dividing the result by the standard deviation.

Here given that,

mean=[tex]69.0 inches[/tex]

standard deviation=[tex]2.8 inches[/tex]

[tex]x=-2[/tex]

The general formula of the z-score is

[tex]z=\frac{x-mean}{standard deviation}[/tex]           .......[tex](1)[/tex]

Now, putting the values in the equation [tex](1)[/tex], we get

[tex]z=\frac{-2-69.0}{2.8}\\z=\frac{71}{2.8}\\z=25.35inches[/tex]

Hence, the height of a man with a z-score is [tex]25.35inches[/tex]

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Answer:

Step-by-step explanation:

supplementary angles = 180°

so

3x + 5 + 9x - 17 = 180

12x - 12 = 180

12x = 180 + 12

12x = 192

x = 192 : 12

x = 16 units

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

check

3 * 16 + 5 + 9 * 16 - 17 = 180

180 = 180

the answer is good

Answer:

1- 50

2- 130

3- 50

4- 130

5- 40

6- 140

7- 90

8- 140

Step-by-step explanation:

Answer:

m∠1 = 50°

Step-by-step explanation:

From inspection of the given diagram we can see that angle 1, angle 40° and a right angle are the interior angles of a right triangle.

As the interior angles of a triangle sum to 180°:

⇒ m∠1 + 40° + 90° = 180°

⇒ m∠1 + 130° = 180°

⇒ m∠1 + 130° - 130° = 180° - 130°

⇒ m∠1 = 50°

Therefore, the measure of angle 1 is 50°.

Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.

Let's x be the kenyan beans that sell for $8.25 per pound and y be venezuelan beans that sell for $9.50 per pound.

Altogether there are 50 pounds of beans.

The algebraic equation would be x + y = 18.

At $9.00 per pound, he will make 50 * $9.00 = $ 450.0

So, how many of the x and y kinds of coffee should he use to make the $9.00 per pound mixture which will net him $450.0.

The algebraic equation would be 8.25x + 9.50y = 450

We now have two equations

x + y = 50 --(i)

8.25x + 9.50y = 450 --(ii)

Substituting x= 50 - y in the second equation gives us

8.25(50-y) + 9.50y = 450

412.5 - 8.25y + 9.50y = 450

1.25y = 450 - 412.5

1.25y = 37.5

y = 30

Substitute the value of y in equation(i)

x + y = 50

x = 50 - 30

x = 20

Hence, Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.

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If our equation is as follows;

We are given an initial condition. We replace the unknown by [tex]-7[/tex] to get the result.

Answer:

log(x^2  y^3/(x+2)^3)

Step-by-step explanation:

According to the concept of unitary method, the number of pennies are 6.

Unitary method:

The process of finding the value of a single unit, and based on this value is called as unitary method.

Given,

Out of 150 coins, 90 are quarters. Of the remaining coins, 40% are nickels and the rest are dimes and pennies. There are 5 dimes for every penny.

Here we need to find the number of pennies in the coins.

Here we know that the total number of coins are 150, thus includes

=> Quarters + nickels + dimes + pennies = 150 

Here the number of Quarters are 90 

Therefore, the remaining coins are calculated as,

=>  150 − 90 = 60

Here the percent of nickels is 40, then the number of nickels is

=> 60x 40/100

=> 24 numbers

Now, the remaining coins such as dimes and pennies are

=> 60 − 24 = 36 numbers.

Here we know that, in (5 + 1) = 6 coin of dimes and pennies there is 1 penny

So, in 36 coin of dimes and pennies there are,

=>36 / 6

=> 6 

Therefore, there are 6 pennies.

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Answer: It adds to your purchasing power.

Answer: It adds to your purchasing power

Step-by-step explanation:

Edmentum it's right.

$5539.53 is each withdrawal if the interest rate is 5% per year, compounded monthly.

What is compounded interest?

Compound interest is the interest earned on savings that are calculated on both the initial principal and the interest earned in previous periods.

We have,

Initial amount - le 5,00,000

Interest = l = 5/100 = 0.05/12 = 0.004167

Time period T = 25 x 12 = 300

[tex]A = P(1 + r)^t[/tex]

where A = total balance after t years,

P = principal amount (the amount invested),

r = interest rate (decimal form), and

t = time in years.

How much money will Jack have after 25 years?

[tex]A = 5,00,000 (1+ 0.05)^{25}[/tex]

A = 1661859

A / 300 = 5643

Therefore, $5539.53 is each withdrawal if the interest rate is 5% per year, compounded monthly.

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Step-by-step explanation:

0.16666666666

Answer:

4y

Step-by-step explanation:

the graph is that also 02929393 i needed points

Step-by-step explanation:

Find the perimeter of the rectangle. length 7 inches and area 35 square inches.

P = 2W + 2L

A = LW

because you know that L = 7:

A = LW

35 = 7W

divide both sides by 7:

35/7 = 7W/7

W = 5

substitute into first equation:

P = 2W + 2L

P = 2(5) + 2(7)

P = 10 + 14

P = 24

the anwer is 5

35 divied by 7 is 5

7 times 5 is 35

Answer:

canadate A =4 votes

Step-by-step explanation:

Answer:

A. 125/100 = p/35

Step-by-step explanation:

" I hope it helps : - ) "

The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

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Clara's pay based on commission is $290.

Given:

Minimum wage is 15 h. Clara's commission is 5 % of sales. During one week ,Clara works 25 h and sells $5800 worth of merchandise.

commission = 5%

Clara's pay = 5800*5%

= 5800*5/100

= 58*5

= $290.

Therefore Clara's pay based on commission is $290.

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$17,260.27

Divide 6.3 million dollars by 365 to show how much the basketball players earns in a day

A

C

A

D

B

You're welcome :)

Answer:

IGF

Step-by-step explanation:

the two angles have the same vertex and lie on the same lines

Answer:

D)

Step-by-step explanation:

Let the original length be 'x'.

Percentage error = 5 %

So, (100 -5)% = 95% of the original measurement is 3.99 m

     95% of x = 3.99

     [tex]\sf \dfrac{95}{100}*x = 3.99[/tex]

              [tex]\sf x = \dfrac{3.99*100}{95}\\\\x = \dfrac{399}{95}\\\\\\x = 4.2 m[/tex]

Original length = 4.2 m

m = (-1/2 - 3/4) / (5/6 - (-2/3))

= (-2/4 - 3/4) / (5/6 + 4/6)

= (-5/4) / (9/6)

times 24 on top and bottom,

= -30/36

= -5/6

The worth in 5 years is $1,383,441.63. option B is the correct answer

From the question, we have

worth in 5 years = current value * ( 1 + rate) ^ 5

= 810,000*( 1 + 11.3/100) ^ 5

= 810,000*( 1.113) ^ 5

=$1,383,441.63

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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The possible number of green tiles in the rectangle can be found to be H. 24.

The number of green tiles and red tiles in the rectangle will need to be expressed as whole number alone.

This means that because the ratio of the green tiles to the red tiles is 3 : 4, number of green tiles should be divisible by 3.

The numbers given are:

= 10 / 3

= 3.33

16:

= 16 / 3

= 5.33

24:

= 24 / 3

= 8

Because 24 is divisible by 3, there must be 24 green tiles in the rectangle.

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The skew lines in the prism shown, considering their definition, are given as follows:

QT and WX.

Skew lines are pairs of lines that share these two features:

Hence, for each option in this problem, we have that:

Hence there is only one pair of skew lines, given by lines QT and WX, thus only the third option should be marked.

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The number of short sleeves that Maria sold is 819.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.

The number of short sleeves will be:

= Ratio for short sleeve / Total ratio × Total number of clothes

= 9 / (8 + 9) × 1547

= 9/17 × 1547

= 819

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