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The following are extracts from the financial records of ABC Ltd for the year ended 31 August 2021. ABC Ltd Extract from the Statement of financial statement as at 31 August 2021 31 August 2021 - R 31 August 2020 - R Bank Inventories – trade goods Trade receivables Trade payables Prepaid expenses: Accrued expenses: interest Accrued expenses; other SARS – income tax payable Dividends payable 50 000 22 000 77 000 44 000 1 800 1 000 5 700 8 000 1 500 20 000 30 000 69 000 46 000 1 200 2 400 4 400 3 000 2 700 ABC Ltd Extract from the Statement of profit or loss and other comprehensive income for the year ended 31 August 2021 R Sales Cost of sales 592 000 (301 000) Gross profit 291 000 Profit on sale of Equipment 9 000 Depreciation 41 000 Interest expense 2 600 Income tax expense 15 200 Profit for the year 110 300 The dividends declared for the current year is R2 400. Required: Prepare only the “Cash flows from operating activities” section of the statement of cash flows for ABC Use the indirect method.


Option 1: Company ABC’s selling stock is ₱ 1,500.00 per share that will have a dividend of ₱ 200.00 per year. The stock can be sold after two years at ₱2,000.00 and the market requires a rate of return of 15%. The stock can be sold after two years at ₱2,000.00 and the market requires a rate of return of 7%. Determine the stock yield ratio? *

ROUND OFF, NUMBERS ONLY, DO NOT PUT COMMA, PERIOD, ZERO OR PERCENTAGE SIGN.


the following data is given:

t = 10,   20,    30,    40     

R= 30,  15,   7.5,  3.75

 

Which of the following numbers best describes the halving time (half-life)? (To answer the question you may draw a semi-log plot, i.e., plot logR

log⁡R against t, but may also be able to guess it by looking at the data.)

 

a) 5

b) 20

c) -10

d) 10


Express the following argument in symbolic form, and use the rules of inference and also MATLAB to show that it is logically valid.

Ben is a student or a taxi driver.

If Ben is a taxi driver, then he has a taxi licence.

Ben has a car but he does not have a taxi licence.

Therefore Ben is a student.


1.      Eight girls went to a pizza parlor. Each of them ate 1 ¾ slices of pizza. How many slices of pizza did they eat in all                                                                                

Operation/s:                                                                                                            

Answer:                                                                                                                       

Unit (Label)?

2.     Kyle used 1/8 cup of flour to make two hotcakes. How many cups of flour will he need to make a dozen of hotcakes?                                                          Operation/s:                                                                                                           Answer:                                                                                                                   Unit (Label)?3.     A student works for 3 3/5 hours a day in a printing shop. If he is scheduled to work on Monday – Friday, how many hours does he work in a week?Operation/s:                                                                                                          Answer:                                                                                                                   Unit (Label)?4.     Bill earned Php 450 in selling donuts. He spent 1/5 of the money on flowers for his mother’s birthday. How much of Bill’s money was left after buying the flowers?                                                                                                                  Operation/s:                                                                                                           Answer:                                                                                                                              Unit (Label)?5.     Mark climbed a palo sebo. The pole is 15 meters high. He already climbed 7/10 of the pole. How many meters did he need to climb to reach the top of the pole?            Operation/s:                                                                                                            Answer:                                                                                                                              Unit (Label)?  

vector has y component ay= 13.0m

Activity 5.b. Choose a quantity to be represented by a variable, the write a mathematical expression for each.

1. Lota’s age in 5 years

2. a three-digit number whose hundred digits is half the tens digit and the tens digit is 2 more than the units digit.

3. The total interest earned after one year when P100, 000 is invested, part at 6% annual interest rate and the remaining part at 7.5% annual interest rate.

4. The distance traveled by a man driving at the rate of 60 kph

5. The total distance traveled by a boat 1 hour upstream and 30 minutes downstream in which the rate of current is 3kph.





a)              Solve the following equation:         

log (5x- 11)=2                                       

b)             Change to base 10 and arrange in descending order:  11112, 10012, 110012.


c)             Given x = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t},  

            P = {b, e, c, j, l, m, o, n}, R = {c, i, k, m, n, o, s} and S= {c, e, k, n, q, r, t}. 

 

            Determine the following (all work must be shown):

               i.           (P È S

               ii.           (P È R È S

              iii.           (P È S)¢Ç (P È R)

               iv.           [(P È R) Ç (PÇ S)] È (P È R  


d) Briefly explain the concept of gradient with appropriate examples.                       

e)  If one line has a slope of 3 and another has a slope of -6, which line is less steep? Why?

 f)  Given the two points M(3, -5) and N(-2, 6) find the midpoint, length and gradient of MN.                                                                                                                                   g)  Find the equation of the line that passes through the point (-1, -4) and is

 perpendicular to the line x - 3y = 6.  Graph the lines for the equations in (d) on the same axes. 


                                                                                                



(a) Find the polynomial degree 3 in term of three linear factors if P(1) = P(-2) = 0,



P(3) = 200 and P(-1) = 8.



(b) Find the partial fraction for



12x³ + 1/P(x)

A polynomials is defined by P(x) = mx³ + mx² + mx + n where m and n are non-zero real constants. Given that x = -n is a root of P(x). Determine the range of the possible values of m.

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