Grade 11 Modules 2021-2022 ABM

General Math (Part 1)

Problem:

Corporation A, with a current market value of P52 gave a dividend of P8 per share for its common stock. Corporation B, with a current market value of P95 gave a dividend of P12 per share. Use the stock yield ratio to measure how much dividends shareholders are getting in relation to the amount invested.

Corporation A

Given:
Dividend per share = P8
Market value = P52

Find: stock yield ratio

Solution:
Stock yield ratio = dividend per share ÷ market value

= P8 ÷ P52

= 0.1538 ≈ 15.38%

• Divide the dividend per share to the market value to get the stock yield ratio of corporation A.

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Corporation B

Given:
Dividend per share = P12
Market value = P95

Find: stork yield ratio

Solution:
Stock yield ratio = dividend per share ÷ market value

= P12 ÷ 95

= 0.1263 ≈ 12.63%

• Divide the dividend per share to the market value to get the stock yield ratio of corporation B.

Corporation A has a higher stock yield ratio than Corporation B. Thus, each peso would earn you more if you invest in Corporation A than in Corporation B. If all other things are equal, then it is wiser to invest in Corporation A.

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Task 2: what am i

2. For a purchase of the house and lot worth php 3,800,000 the bank requires 20% down payment, find the mortgage amount.

Given:
house & lot price = 3,800,000
down payment rate = 20% (0.20)

Find: mortgage amount

Solution:
Down payment = down payment rate × house & lot price

= 0.20 (3,800,000)

= 760,000

• multiply the down payment rate to the house & lot price to get the down payment amount.

Mortgage amount = house & lot price – down payment

= 3,800,000 – 760,000

= 3,040,000

• minus the house & lot price to the down payment amount to get the mortgage amount.

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Activity 1: Proposition or Not

1. I did not get a bonus (proposition)
Ans: its a statement of true that the person did not get a bonus.

2. x is greater than or equal to -2 (proposition)
Ans: x is greater than or equal to 2, so the statement is false.

3. "1+2" (not proposition)
Ans: 1+ 2 is not a proposition because the statement is not whole and cannot categorized as true or false, there should be equal to 1 + 2 to make is true or false.

4. Manila is capital of Philippines. (proposition)
Ans: Manila is indeed a capital of Philippines, so the statement is true.

5. What time is it? (not proposition)
Ans: The statement has a question mark, so its not determined whether its true or false.

6. Just do it! (not proposition)
Ans: The statement cannot categorized whether its true or false and because the statement is exclamatory, so its not a proposition.

7. 0 + 0 =2 (proposition)
Ans: The statement is categorized as false, therefore its proposition.

8. Elephants can fly. (Proposition)
Ans: The statement is categorized as false because elephants cannot fly, so its a proposition.

9. This statement is false. (Not proposition)
Ans: The statement cannot categorized as true or false because of lack of evidence, so its not a proposition.

10. x + y = z (not proposition)
Ans: The statement cannot categorized as true or false, so its not a proposition.

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