Hello, I need help solving question 22 a & b please, thanks

Answer:

a) 0.23x+0.21y=75

b) (For the Graph see the attached picture).

A possible solution for the inequality \(0.23x+0.21y\leq75\) would be any point inside the shaded region of the graph. For example (150,175) This is 150 minutes to the United Kingdom and 175 minutes to France.

\(0.23x+0.21y\leq75\)

\(0.23(150)+0.21(175)\leq75\)

\(34.5+36.75\leq75\)

\(71.25\leq 75\)

this inequality is true, so the number of minutes used for the United Kingdom and to France is valid.

Step-by-step explanation:

a)

In order to solve this problem, we must first set our variables:

x= Minutes to the United Kingdom.

y= Minutes to France

The greatest amount of money you can spend is $75 and each minute will cost $0.23 when calling to the United Kingdom and $0.21 when calling to France. So we can use this information to build our equation:

0.23x+0.21y=75.

b) So first, we need to convert our equation into an inequality where the total amount of money spent must be less than $75, so our inequality is:

[tex}0.23x+0.21y\leq75\)

so now we can proceed and graph. This is graphed exactly as you would graph a regular linear equation. You need to find two points on the graph that will satisfy the equation. Plot them and then connect them with a straight line. For example:

First, let's solve the equation for y:

0.23x+0.21y=75

we start by moving the 0.23x to the other side of the equation so we get:

0.21y=-0.23x+75

and next we divide both sides of the equation into 0.21 so we get:

\(y=\frac{-0.23x+75}{0.21}\)

which yields:

y= -1.095x+357.14

next we need to pic an x-value so we can find the first ordered pair. Let's say I pick x=0. So we get:

y= -1.095x+357.14

y= -1.095(0)+357.14

y=357.14

so our first point is (0, 357.14)

And we can follow the same procedure for the second point. Let's say I pick x=1. In that case our second point is (1, 354.04). We can now plot them. Once the graph is drawn, we need to shade it, for which we will pick an ordered pair to the left and an ordered pair to the right of the line. For the left region let's pick the point (0,0) and for the right of the graph, let's pick the point (150,357).

So let's test the inequality for these two points:

First, let's use the point (0,0)

\(0.23x+0.21y\leq75\)

\(0.23(0)+0.21(0)\leq75\)

\(0\leq75\)

This proves that the left side of the graph is the side to be shaded. We can still use the other point and see what we qet:

(150, 357) and let's use it on our inequality:

\(0.23x+0.21y\leq75\)

\(0.23(150)+0.21(357)\leq75\)

\(109.47\leq75\)

Is a false statement, so only the region on the left will contain the possible number of minutes to do the phone calls to the UK and France.

A possible solution for the inequality \(0.23x+0.21y\leq75\) would be any point inside the shaded region of the graph. For example (150,175) This is 150 minutes to the United Kingdom and 175 minutes to France.

\(0.23x+0.21y\leq75\)

\(0.23(150)+0.21(175)\leq75\)

\(34.5+36.75\leq75\)

\(71.25\leq 75\)

This is a true statement so the possible solution is correct.

It's important to note that the effective interest rate takes into account the Compounding effect, which means that Antonio's savings will grow faster than if the interest was only applied annually.

Antonio has saved 10,000 soles in the bank, and the bank is offering him an annual interest rate of 16% which is compounded monthly. To find out the effective interest rate that Antonio will receive, we need to calculate the annual percentage yield (APY).

The formula for APY is (1 + (interest rate/number of compounding periods))^number of compounding periods - 1.

In this case, the interest rate is 16% and the number of compounding periods is 12 (since the interest is compounded monthly). Plugging these values into the formula, we get:

APY = (1 + (0.16/12))^12 - 1
APY = 0.1728 or 17.28%

So, the effective interest rate that Antonio will receive is 17.28%. This means that at the end of the year, he will have earned 1,728 soles in interest (assuming he doesn't withdraw any money from the account). It's important to note that the effective interest rate takes into account the compounding effect, which means that Antonio's savings will grow faster than if the interest was only applied annually.

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Answer:

f(2) = -3

g(-3) = -5

Step-by-step explanation:

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Answer:

14) B. 9

15) C. (7 x 3)cm

Step-by-step explanation:

14) The area of of parallelogram ABCD is 63 and the altitude is 7

divide 63 by 7 = 9

15) The length of OC is twice the length of EO so CE = 1(7) + 2(7) = 3(7)

Answer:

14. B

15. C

Step-by-step explanation:

Question 14

Area of a parallelogram = base × altitude

Given:

Substituting the given values into the formula and solve for AB:

⇒ Area = base × altitude

⇒ 63 = AB × 7

\(\sf \implies AB=\dfrac{63}{7}\)

⇒ AB = 9cm

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Question 15

Median:  the line segment from the vertex to the midpoint of the opposite side.

Median Theorem:  the medians of a triangle intersect at a point called the centroid.  The centroid is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

Therefore,

\(\sf CO=\dfrac23CE \implies EO=\dfrac13CE\)

Given:

Substituting the given values into the formula and solve for CE:

\(\sf \implies EO=\dfrac13CE\)

\(\sf \implies 7=\dfrac13CE\)

⇒ CE = (7 x 3) cm

Answer:

c and b

Step-by-step explanation:

Answer:

c and b

Step-by-step explanation:

Answer:

Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400

The required profit in the twelfth month is $2400.

Arithmetic progression is the series of numbers that have common differences between adjacent values

To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.

The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).

We use the formula for the nth term of an arithmetic sequence:

an = a₁ + (n - 1)d

So, substituting the given values, we get:

a₁₂ = -2000 + (12 - 1)400

a₁₂ = -2000 + 11*400

a₁₂ = -2000 + 4400

a₁₂ = 2400

Therefore, the profit in the twelfth month is $2400.

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Answer:

Part A:

Option 1

3x + 8 = 5x - 20 (vertically opposite angles)

2x = 28

x = 14

3x + 8 + 5x + 4y = 180° (adjacent angles on a straight line)

8x + 4y = 172

Substitute x = 14 into equation to find y.

8(14) + 4y = 172

4y = 60

y = 15

Hence, x = 14 and y = 15.

Part B:

Option 4

Unlabeled angle = 5x + 4y (vertically opposite angles)

Substitute x and y to find angle measure.

5(14) + 4(15) = 130°

Hence, measure of unlabeled angle is 130°.

Answer:

Step-by-step explanation:

(1-4)/(2+3)= -3/5 is the slope

y - 4 = -3/5(x + 3)

the solution is F

By using  arithmetic sequence there is subtraction pattern, In all numbers we will subtract -3 then we get our required answer from given eqution -5-3=8.

An arithmetic sequence is an organized set of numbers that have a coarse different between each consective number.

In an arithmetic pattern the arrangements are based on the subtraction of the term if two or more values in the sequence we can use subtraction to find arithmetic missing value in the sequence.

By using this pattern we get

     4-3=1

     1-3=-2

    -2-3=-5

    -5-3=-8

    -8-3=-11

     .

     .

     .

    -53-3=-56

In this pattern I just subtract the number -3 from all given values.We have to got required number.

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The absolute value of the given functions are ;

1. increasing

2. increasing

3. decreasing

4. increasing

5.  increasing

6. decreasing

7. decreasing

8. decreasing

Calculus functions called increasing and decreasing functions have f(x) values that change according to how much x rises or decreases. The behavior of growing and decreasing functions is examined using the derivative of the function f(x). If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.

Like wise in this question we just have to find the d/dx and if it comes out positive then the function is increasing and if it is negative then it is decreasing.

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Answer:

True, depending on where f(x) is located

Step-by-step explanation:

1 dozen = 12

1 dollar / 30 cents = 3 1/3

You can buy 3 1/3 dozen.

12 x 3 1/3 = 40

You can buy 40 balloons for a dollar.

Answer:

44

Step-by-step explanation:

30=12 Balloons

30 goes into 100 3 times

3 x 300 =90

now there are only ten cents left

3x10 = 30

12/3=4

40 + 4 = 44

We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.

We will see that it is the equation of the ellipse.

Now let's see why that is the correct answer.

The general conic equation is of the form:

\(A*(x - a)^2 + B*(x - b)^2 = R^2\)

Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.

For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.

If we write:

A = 1/C

B = 1/K

(both are positive, because "it has two squares with the same signs").

Then we get the equation:

\(\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2\)

We get the equation we wanted.

The same sign in both square parts and different leading coefficients.

The above equation is the general equation of an ellipse.

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Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

The volume of the cylinder is 169.7. (Option C)

Based on the provided information, let the radius of the cylinder be r and diameter of the cylinder be 2r. The diameter and height of the circular cylinder is the same. When examining the cross section of the cone and cylinder, there are two similar triangles. Hence,

(15 – 2r)/15 = r/5

5(15 – 2r)= 15r

75 – 10r = 15r

r = 3

Volume of the cylinder = πr^2h where r is the radius of the cylinder and h is the height of cylinder. As h = 2r, Hence,

V = πr^2(2r) = (22/7)(3^2)(6) = 169.7

Note: The question is incomplete as the options are incorrect. The correct options are A) 127.5 B) 151.6 C) 169.7 D) 168.5

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Answer:

x = -7

Step-by-step explanation:

Isolate x by adding 10 to both sides:

-17 = -10 + x

-7 = x

So, x = -7

To graph the inequality y < 1, you will draw a parallel line to the x-axis at y = 1

The line will be a dashed line because there is no equal sign with the sign of the inequality

The shaded part will be under the line

The purple line represents the inequality y < 1

The shaded area is under the line

Answer:

It comes out to around 127

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

No___count ____cumm____count%___cumm%

0_____40_______40_______20%_____20%

1_____80_______120_______40%_____60%

2____48________168_______24%_____84%

3____20________188_______10%______94%

4____8_________196_______4%_______98%

5____4_________200_______2%______100%

Hence number of observations in the sample is the sum of counts of each interception, which is also the bottom most value of the cumulative frequency column.

Sum of counts (40 + 80 + 48 + 20 + 8 + 4) = 200

The formula that defines the sequence is f(n) = f(n-1) + 4

The recursive function rule is expressed as;

f(n) = f(n-1)  + d

where

d is the common difference

Given the following sequence

2, 6, 10, 14, 18..

Determine the common difference

d = 6-2 = 10-6

d = 4

Substitute to have

f(n) = f(n-1)  + d

f(n) = f(n-1) + 4

Hence the formula that defines the sequence is f(n) = f(n-1) + 4

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Answer:

for x=3

Step-by-step explanation:

After simplification of the given fraction, the answer in mixed number will be equal to 10 47/30.

A phrase must be simplified and made shorter using a variety of methods. The steps required to decrease something are carried out according to a specified order known as PEDMAS.

Make a fraction simpler by reducing it to the base form. If both the numerator and denominator of a fraction only include the integer, the fraction is considered to be in its basic form.

As per the given equation in the question,

7 3/10+4 4/15

73/10 + 64/15

= (219 + 128)/30

= 347/30

Also, it can be written as: \(10\frac{47}{30}\).

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The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

Step-by-step explanation:

The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.

  RS +ST = RT

  (5y +5) +(4y +8) = 67

Simplifying, we get ...

  9y +13 = 67

  9y = 54 . . . . . . . . subtract 13

  y = 6 . . . . . . . . . divide by 9

RS = 5y +5 = 5·6 +5 = 35

ST = 4y +8 = 4·6 +8 = 32

The values of interest are ...

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Answer: A: Greater than the whole number

Step-by-step explanation:

5/2 x 9 = 45/2 = 22.5

Answer:

A-B = {5,7}

Ans

Step-by-step explanation:

plz mark me as brilliant

The set A - B using the listing method is {5, ​7}

If we have two sets A and B as:

\(A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}\)

Then, function

\(A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}\)

is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.

The connected pairs are then written as:

\(\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}\)

under the function f.

Given;

A={3​,4,5, ​7}

B={2,3,4}

C=​{6​, ​7}

U=​{0, ​1, 2,​ 3, 4,​ 5, 6,​ 7}

A-B={3​,4,5, ​7}-{2,3,4}

={5, ​7}

Therefore, the correct answer of set will be {5, ​7}

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