d) A certain production process takes two stages 1 and 2. In a given period 5,000 units were introduced in process one and the costs indicated were incurred. 4,650 units were transferred to process 2 and additional costs incurred as indicated in the table. From experience process loss for process 1 amount to 10% with no loss anticipated for process 2. 4,480 units were successfully completed.
Required: Compute the cost per unit of the complete units assuming that defective units are sold at ksh 20 per unit (10 mks)

Process 1 Process 2 Total costs
Rm 100,000 150,000 250,000
Labor 50,000 50,000 100,000
Overheads 50,000 20,000 70,000
420,000

Answer:

6/8>7/12

Step-by-step explanation:

6/8>7/12

36/48>28/48

I think

The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

It's 180% :)

Hope this Helps!

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

7x+12y<350

Step-by-step explanation:

7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350

The value of the expression for x=-3 is 78.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 6(2x²-5).

Here, x=-3

Substitute x=-3 in the expression 6(2x²-5), we get

6(2(-3)²-5)

= 6(18-5)

= 78

Therefore, the value of the expression is 78.

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Answer:

$620.30

Step-by-step explanation:

We multiply 593.59 by .045 to get the amount we add to the original price. This gives us 620.30

Answer:

\(\huge\boxed{\sf r = 5}\)

Step-by-step explanation:

Given that,

7q + 35 = 7q + 7r

7q - 7q + 35 = 7q - 7q + 7r

35 = 7r

35/7 = r

5 = r

OR

\(\rule[225]{225}{2}\)

Answer:

r = 5

Step-by-step explanation:

Given statement,

→ 7(q + 5) is equivalent to (q + r)7.

Forming the equation,

→ 7(q + 5) = 7(q + r)

Now we have to,

→ Find the required value of r.

Then the value of r will be,

→ 7(q + 5) = 7(q + r)

Applying Distributive property:

→ 7(q) + 7(5) = 7(q) + 7(r)

→ 7q + 35 = 7q + 7r

Cancelling 7q from both sides:

→ 35 = 7r

→ 7r = 35

Dividing the RHS with number 7:

→ r = 35/7

→ [ r = 5 ]

Therefore, the value of r is 5.

The piecewise function that defines the graph is given as follows:

A piecewise function is a function that has different definitions, according to the input values assumed by the function.

The different definitions for the function in this problem are given as follows:

To the left of x = -2, the function is increasing with a slope 1, hence it would cross the y-axis at y = 1, and the definition is given as follows:

y = x + 1, x < -2.

At x = 2 and between x = -2 and x = 1, the function is constant.

The piecewise function is given by the image presented at the end of the answer.

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The card that is the bet choice under these conditions is the traveler card this is because it is the cheapest and constitutes the lowest cost to the consumer.

When selecting a card, rational consumers or customers normally opt for the one that is cheapest in terms of annua cost.

The above attached  when completed shows that by adding the annual finance charge to the annual fee, we are able to see the Total annual cost which is the highest as well as the lowest.

In this case, the lowest is the Travelers Card.

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Answer:

ew

Step-by-step explanation:

Answer:

this question is of high school or collage

Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

The claim proposed is an equation with a variable x which is hitherto unknown. When my friend says

he/she is right for as long as x turns out to be a real number.

Let us solve for x to find out whether my friend is right.

First, let us do the product 6* 12 on RHS (right- hand side) to get

and finally, let us divide both sides by 48 to get

So the value of x is 1.5 and my friend is right.

GIVEN:

We are told that a school wants to estimate the number of students who drive to school.

Required:

To determine which survey would best represent the entire student population..

Step-by-sep solution;

Taking a sample of 11th graders would not correctly represent the entire student population. The result from this survey would at best represent the preference of 11th grade students and not other grades. The same thing applies to a survey of the science club. The science club cannot accurately represent all students (including other clubs).

However, a survey of 25 students from the school would best represent the entire student population since there is a probability of every category of student being represented.

Therefore,

25 students are randomly selected from the school; 4 drive to school.

Part (B):

There are 1750 students at Lincoln High. Use the answer above to estimate the number of students who drive to school.

If the sample of 25 students has 4 students who drive to school, then to estimate the entire population based on this;

Therefore, we now have;

ANSWER:

The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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One of the equation which illustrates and meets the decimal conditions given is :

1.25 × 0.2 = 0.25

Let the first number  with two decimal places be x = 1.25

Let the second number with one decimal place be y = 0.2

Result = first Number × second number

Thus;

Result = 1.25 × 0.2

Result = 0.25

Evaluating the result of 0.25, it means that;

Number of digits = 3

Non - zero digits = 2

There are several values of x and y which will satisfy the 3 conditions given.

Therefore, the product of the values 1.25 and 0.2 gives the required output of the question.

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Step-by-step explanation:

\(( \frac{64}{125} ) {}^{ - } {}^ { \frac{ 1}{3} } \\ \)

\(( {}^{3} \sqrt{ \frac{125}{64} } ) \\ \)

\( \frac{5}{4} \\ \)

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

Answer:

4.

.....................

Answer: Option 4

Step-by-step explanation:

2x+5y=20

5y=-2x+20

y=-2x/5 + 4 ==> y-int: (0, 4) ==> Option 4

Answer:

Step-by-step explanation:

Answer & Step-by-step explanation:

In this problem, we a re given two points. These points are (-4, 3) and (-2, -1). We can use these points and put them into the slope formula.

\(Slope=\frac{y2-y1}{x2-x1}\)

Now, plug in the points to their respectful places.

\(Slope=\frac{-1-3}{-2-(-4)}\)

\(Slope=\frac{-4}{2}\)

\(Slope=-2\)

So, your slope of the the line is -2.

12.5% is the percentage of numbers randomly generated by Taylor's computer that is less than 0.5.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

The percentage of numbers randomly generated by Taylor's computer are less than 0.5 is given by

P(0≤X≤0.5)

=\(\int_{0}^{0.5}\frac{1}{4}dx\)

\(=\frac{1}{4}x|^{0.5}_{0}\)

\(=\frac{1}{4}(0.5-0)\)

\(=0.25(0.5)\)

= 0.125

That is 12.5%

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Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

B

y = -4x

Step-by-step explanation:

PLZ mark brainliest

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

Step-by-step explanation:

Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum