{ ( - 4, 2 ), ( - 1, 0 ), ( - 3, 1 ), ( 2, - 3 ) } Write the set using set notation and in ascending order.

The total amount accumulated after 2 years is $3704. 0

The formula for calculating compound interest is expressed as;

A = P ( 1 + r/ n) ^nt

Where;

Now, let's substitute the values into the formula, we have;

A = $3500 ( 1 + 0. 03 / 0. 25) ^(0.25× 2)

Find the exponent

A = $3500 ( 1 + 0. 03 / 0. 25) ^0.5

A =  $3500( 1+ 0. 12)^0. 5

Expand the bracket

A = $3500 (1. 12)^0. 5

A = $3500(1. 05)

multiply the values

A = $3704. 0

Hence, the value is $3704. 0

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Using the greatest common factor, the number of light bulbs in each box is 24.

The greatest common factor (GCF) is the number that can divide two or more numbers without a remainder.

The GCF is a divisor that divides dividends evenly, leaving only quotients without remainders.

For instance, the greatest common factor of 120, 168, and even 288 is 24.

Using this GCF implies that 24 can divide 120, 168, and 288 without leaving any remainders.

                                            Company A      Company B        Total

Total orders for light bulbs         120                     168             288

Greatest common factor of          24                      24               24

Number of boxes delivered           5                        7                12

Thus, with the greatest common factor as 24 light bulbs in each box, Company A will be supplied 5 boxes, while Company B will be supplied with 7 boxes.

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Answer:

B. -6.08 x 10^-8

Answer:

[tex]\textsf{b)} \quad \text{P}(A\;\text{and}\;B)=\dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\text{P}(A)=\dfrac{1}{4}[/tex]

[tex]\text{P}(B)=\dfrac{1}{4}[/tex]

[tex]\text{P}(A|B)=\dfrac{4}{5}[/tex]

Conditional Probability Formula

[tex]\text{P}(A \cap B)=\text{P}(B)\;\text{P}(A|B)[/tex]

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \text{P}(A \cap B)&=\dfrac{1}{4} \cdot \dfrac{4}{5}\\\\&=\dfrac{4}{20}\\\\&=\dfrac{1}{5}\end{aligned}[/tex]

Answer:

$0.45 and a waffle bowl is $1 extra.

Step-by-step explanation:

The height of the statue that exactly with the bottom of a building is approximately 9.3926 feet tall.

height of the office window , a = 45 feet

the bottom of a building that is horizontal  from the office, b = 600 feet

let x represent the angle

tan(x) = a/b

tan(x) = 45/600

x = tan⁻¹(0.75)

x = 4.28 degree

the height of the statue, h  = ?

the statue is from the building, c = 125 feet

tan(45/600) = h/125

h = tan(0.075) x 125

h = 9.3926 feet

The height of the statue that exactly with the bottom of a building is approximately 9.3926 feet tall.

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Step-by-step explanation:

sqrt(7) is larger than 2 (2² = 4) but smaller than 3 (as 3² is 9).

sqrt(220) is larger than 14 (14² = 196) but smaller than 15 (15² = 225).

so, the integers between them are

3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

these are 12 integer values.

The statement that is true about the quadratic function is (b) the graph of the function is a parabola.

The quadratic function is given as

f(x) = x2 – 5x + 12

Rewrite as

f(x) = x² – 5x + 12

All quadratic functions are parabola

This means that option (b) is true

Set x = -10 to calculate f(-10)

So, we have

f(-10) = (-10)² – 5(-10) + 12

Evaluate

f(-10) = 162

This means that option (a) is false

Set x = 20 to calculate f(20)

So, we have

f(20) = (20)² – 5(20) + 12

Evaluate

f(20) = 312

This means that option (d) is false

Set x = 0 to calculate f(0)

So, we have

f(0) = (0)² – 5(2) + 12

Evaluate

f(0) = 12

This means that option (e) is false

The leading coefficient in f(x) = x² – 5x + 12 is positive

Graphs with positive leading coefficient opens up

This means that option (c) is false

Hence, the true statement about the quadratic function is (b)

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The total amount he will pay after 25 years is $18,97,500.

His monthly payment will be $6,325.

Given, the cost of mortgage is $720,000, and the owner of the house makes a down payment of $60,000, with 7.5% interest rate and 25 years repayment plan.

Now, the total amount of the loan be,

720000 - 60000 = 660,000

monthly rate = 7.5/12 = 0.625%

Number of payment periods = 25

Total amount he has to pay after 25 years,

660000 + (660000×7.5×25)/100

= $18,97,500

His monthly payment will be

1897500/25×12

= $6,325

Hence, the total amount he will pay after 25 years is $18,97,500

also, his monthly payment will be $6,325.

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The values of x and y are -1 and 6 respectively, this forms an ordered pair of (-3,6) and (-1,2).

Given the equation and ordered pair in the question;

Find the y-value by substituting the x-value into the equation and solving for y.

y = 4x + 6

Plug in x = -3

y = 4( -3 ) + 6

y = -12 + 6

y = 6

Find the x-value by substituting the y-value into the equation and solving for x.

y = 4x + 6

Plug in y = 2

2 = 4x + 6

2 - 6 = 4x

-4 = 4x

x = -4/4

x = -1

Therefore, the ordered pair are (-3,6) and (-1,2).

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Answer:

Step-by-step explanation:

Both mentioned sides have equal length as opposite sides of a parallelogram.

Set equation and solve for x:

Answer:

13/3

Step-by-step explanation:

3 [tex]\frac{12}{9}[/tex]

[tex]\frac{12}{9}[/tex]= 1 [tex]\frac{1}{3}[/tex]

3+1 1/3

4 [tex]\frac{1}{3}[/tex]

13/3

Answer:

Step-by-step explanation:

step one just add 5/9 +7/9 since they have the same denominator then that will equal 4/3

2nd step add the 1 and 2 together since they are both whole numbers. which equals 3

3rd step 4/3 + 3/1 which equals 13/3 maybe or if the answers wants a mixed number than the answer might be 4 1/3!

I'm not quite sure but try and see if its correct! :)

a. The current ratio is 1.3125

b. The acid test is 1.09375.

c. The average day collection is 37 days.

d. The asset turnover is 1.28.

e. The profit margin on sales is 14.63%.

a. The current ratio will be:

= Current asset / Current liability

= 21000 / 16000

= 1.3125

b. Acid test quick ratio will be:

= (Current asset - Inventory) / Current liability

= (21000 - 3500) / 16000

= 1.09375

c. Average day collection will be:

= Account receivable / (Net sales / 360)

= 4200 / (41000 / 36)

= 4200 / 114

= 37 days.

d. Asset turnover will be:

= Net sales / Total asset

= 41000 / 28000

= 1.28

e. Profit margin will be:

= Net income / Net sales

= 6000 / 41000

= 14.63%

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The two numbers with sum is 10 and difference of their squares is 10  are 5.5 and 4.5.

What is square of numbers?

A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3^2 and is represented by the symbol 3 x 3.

Suppose x and y are the two numbers with sum is 10 and difference of their squares is 10.

As sum of two numbers is 10.

So, x + y = 10            ..(1)

As difference of their squares is 10.

So,  x^2 - y^2 = 10             ..(1)

From equation (1), x = 10 - y

Plug value of x in equation (2)

          (10 - y)^2 - y^2 = 10

100 - 20y + y^2 - y^2 = 10

                  100 - 20y = 10

                           20y = 100 + 10

                             2y = 110

                               y = 5.5

Plug y = 5.5 in equation (1)

x + 5.5 = 10

        x = 10 - 5.5

        x = 4.5

Therefore, The two numbers with sum is 10 and difference of their squares is 10  are 5.5 and 4.5.

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Total cost of work in process Work in process inventory, ending=$1,320,000

The scenario dictates that the computation of the provided data be as follows:-

Buying raw materials will cost $1,800,000.

$20k is the opening stock of raw materials.

Raw material closing stock: $3,140,000.

Purchase of raw materials plus opening stock of raw materials minus closing stock of raw materials equals direct material used.

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The Sample proportion for the data to construct a 95% confidence interval is 0.1351.

The percentage of red candies is  (24.5%,  2.52%)

What do you mean by sample proportion?

The sample proportion (p) indicates the percentage of people in a sample who exhibit a particular quality or attribute. Divide the number of individuals (or items) who have the desired attribute by the overall sample size to obtain the sample proportion.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Sample proportion [tex]=\frac{5}{37}=0.1351[/tex]

For 95% confidence interval, z = 1.96

Hence,

95% confidence interval will be:

[tex]0.1351 \pm 1.96\times \sqrt{0.1351\times(1-0.1351)/37}[/tex]

[tex]0.1351\pm0.1099[/tex]

(0.245, 0.0252)

(24.5%,  2.52%)

Since the confidence interval only contains values less than 30%.

The result is not consistent with 34% rate reported by the candy maker.

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On average, Jaya drinks 0.46 ounces glasses of water does she drink in one hour.

Average:

Average refers the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

On average, Jaya drinks of a 6-ounce glass of water in 13 hours.

Here we need to find the number of glasses of water does she drink in one hour.

Let x be the number of glasses of water does she drink in one hour.

We know that, Jaya drinks of a 6-ounce glass of water in 13 hours.

So, in order to find the average we have to divide the number of glasses by the time taken.

So, it can be written as,

=> 6/13

=> 0.46

Therefore, for one hour Jaya drinks 0.46 ounces of water.

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Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.

Given,

The amount of calorie burns while jogging = 745 calories

The amount of calorie in Doughnut = 320 calories

The amount of calorie in latte = 820 calories

Here,

Total calorie intake by Ray = 320 + 820 = 1140

The calorie burnt while jogging = 745

Number of hours Ray needs to jog for burning 1140 calories;

1140/745 = 1.53 hours.

That is,

Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.

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The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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The coordinates of G(4, 4) , H (0, 2),  J(8, 0)

In order to construct the three sets of relationships between the coordinates of each triangle's three sides' ends and the shared midpoint, we must first set up the three sets of relationships.

G(x(G), y(G))

K(2, 3) (2, 3)

M(6, 2) (6, 2)

H(x(H) and y(H))L (4, 1)

J(x(J), y(J))

K(2, 3) at the midway of side GH

According to the x-component:

x(H) = x(G - x(H))/2

x(G)-[x(H)-x(G)] = 2*x(H)

x(H) + x(G) = 4

x(H) = 4 - x(G) (G)

According to the y-component:

y(H) plus [y(G) - y(H)]/2 = 3.

2*y(H) plus [y(G-y(H)] = 6

y(H) + y(G) = 6

y(H) = 6 - y(G) (G)

Midpoint L(4) and side JH(1):

According to the x-component:

(x(H) + [x(J) - x(H)]/2) equals four.

2*x(H) plus [x(J)-x(H)] = 8

x(H) + x(J) = 8

x(H) = 8 - x(J) (J)

According to the y-component:

y(H) = y(J - y(H)]/2 + y(J) = 1

y(J) - y(H) = 2*y(H)

y(H) + y(J) = 2

y(H) = 2

Side GJ with M(6, 2) as the midpoint:

For the x - component, the formula is: x(J) = [x(G) - x(J)]/2 = 6 2*x(J) = [x(G)- x(J)] = 12 x(J) = 12 - x (G)

y(J) + [y(G) - y(J)]/2 = 2 2*y(J) + [y(G)- y(J)] for the y-component. = 4 y(J) = 4 - y + y(G) = 4 y(J) (G)

The x and y coordinates may now be easily separated, and we can use algebra to isolate each one and determine its location.

x(H) = 4 - x(G), 8 - x(J), and 12 - x(J) (G)

Because x(H) = x (H)

4 - x(G) = 8 - x(J) (J)

8 - x(J) - 8 - x(G) - 4 = -x(J) x(J) x(J) = 4 + x (G)

Using 1.c above and this relationship now x(J) = x(J), so:

-2 * x(G) = -8 x(G) =, 4 12 - x(G) = 4 + x(G) 12 - x(G) - x(G) - 12 = 4 + x(G) - x(G) - 12

Given that x(J) = 4 + x(G) above, x(J) = 4 + 4 = 8 and x(H) = 4 - x(G) = 4 - 4 = 0 respectively.

Let's now perform the identical procedure using the y-coordinates.

y(H) = 6 - y(G), y(H) = 2 - y(J), y(J) = 4 - y(G),

and since y(H) = y(H), 6 - y(G) = 2 - y(J), -y(G) = 2 - y(J) - 6 = -y(J) - 4 y(G) = y(J) + 4 Now that y(J) = 4 - y,

we may substitute (G).

y(H) = y(G) - 2 and y(H) + 4 - y(G) = 2

and y(H) + 4 - y(G) = 2 - 4 and y(G)

Since y(H) = 6 - y(G)

according to 1. above, y(H) = y(G) - 2 + 6 - y(G) 2 * y(H) = 4 y(H) = 2 y(H) = 2 - y(J) 2 = 2 - y(J) y(J) = 4 - y(G) 0 = 4 - y(G) y(G)

H(x(H), y(H)), G(x(G), y(G)), and J(x(J), y(J)) are the results.

To determine the coordinates of the angles or triangle's tips, we used the midpoints of each side.

The coordinates are: H (0, 2) G(4, 4) J(8, 0)

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The height of the cone given the volume of 2411.52 cubic millimeters and a radius of 12 millimeters is 16 millimeters.

Volume of a cone = 1/3πr²h

2411.52 = 1/3 × 3.14 × 12 x 12 × h

2411.52 = 1/3 × 3.14 × 144h

2411.52 = 452.16h / 3

7,234.56 = 452.16h

h = 7,234.56 / 452.16

h = 16 millimeters

In conclusion, the height of the cone is given by 16 milliliters.

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The different ways to make groups of 4 based on the napkins given is 6 ways.

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. Thus can be illustrated by nCr

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time

In this case, Elijah has red and yellow napkins. He must set out napkins for 4 people. This will be:

= n! / ((n – r)! r!)

= 4! / (4 - 2)! 2!

= 4! / 2!2!

= 4 × 3/2

= 6

Therefore, there are 6 ways.

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Step-by-step explanation:

Domain is the x value and Range is the y value. (A way to remember is by saying dr since domain is x and range is y)

Y value is also called f(x) as shown on your screen

The points are

(1,-8)

(2,5)

(3,-2)

(4,1)

The domain would be 4,3,2,1 and the range would be -8,-2,1,5

The common difference is that the domain follows a constant change of rate, but not the range.

A constant change of rate means that it's changing at a constant rate.

It can also be called slope.

E.G: 1,2,3,4 (constant change of rate is adding 1) or 9,6,3,0 (subtracting 3)

The domain is subtracting 1, yet the range isn't following a constant change of rate.

A way to find slope is in the image.

The total number of hours that Jerry would work during a week to make at least $700.00 is 11 hours

information given in the query

The amount of Jerry's pay every week before taxes, J,

a function of the number of overtime hours that he works (the number of hours over 40), h

J = $493.60 + $18.51h

The given equation is an equation of linear function

considering the equation J = $493.60 + $18.51h, the number of hours that Jerry would work is gotten by substituting the value of $700.00 and solving for number of hours

J = $493.60 + $18.51h

700 = 493.60 + 18.5h

18.5h = 700 - 493.60

18.5h = 206.4

h = 11.16

h = 11 hours

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The values of y and x are -7 and 2 respectively, completing the ordered pairs: (6,-7) and (2,1).

Given the equation in the question;

To find the y-value that completes the ordered pair ( 6,y ), replace all occurrence of x with 6 in the equation and solve for y.

y = −2x + 5

y = −2( 6 ) + 5

Multiply -2 and 6

y = -12 + 5

y = -7

Hence, the output value is -7, this forms an ordered pair of (6,-7).

To find the x-value that completes the ordered pair ( x,1 ), replace all occurrence of y with 1 in the equation and solve for x.

y = −2x + 5

1 = −2x + 5

Add 2x to both sides

1 + 2x = −2x + 2x + 5

1 + 2x = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

Hence, the input value is 2, this forms an ordered pair of (2,1).

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