General Mathematics - Grade 11

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Questions and Answers

Which bank offers a better deal for Elisha based on the given interest terms?

Neither, both are equally good
ABC Bank
Any other bank that offers lower interest
ECQ Bank (correct)

What is the interest gained after 5 years from ABC Bank?

Php 6,250 (correct)
Php 5,750
Php 5,000
Php 6,570.41

Which type of interest does ECQ Bank provide?

No interest
Variable interest
Simple interest
Compound interest (correct)

How much will the total maturity value be from ECQ Bank after 5 years?

Php 56,570.41 (D) Signup and view all the answers

If Mr. Cruz chooses Bank A over Bank B, what could be a possible reason?

Bank A has a lower interest rate (D) Signup and view all the answers

What is the formula for calculating maturity value with simple interest?

A(t) = P(1 + rt) (D) Signup and view all the answers

What is the interest rate offered by ABC Bank for Elisha's loan?

2.5% (A) Signup and view all the answers

Which indicator suggests that a simple interest loan is preferable?

Lower total loan payback amount (A) Signup and view all the answers

What is the maturity value for Bank A after 3 years?

Php10,900 (D) Signup and view all the answers

What is the total interest earned from Bank B after 3 years?

Php927.27 (C) Signup and view all the answers

How much interest does Bank A provide after 4 years?

Php1,200 (C) Signup and view all the answers

After 2 years, what is the total amount in Bank B?

Php10,609 (D) Signup and view all the answers

What is the formula used to calculate the simple interest for Bank A?

Prt (D) Signup and view all the answers

What value does the principal become in Bank B after Year 5?

Php11,592.74 (B) Signup and view all the answers

What differentiates Bank A's interest from Bank B's?

Bank A uses simple interest while Bank B uses compound interest. (D) Signup and view all the answers

How much interest is earned from an investment of 150,000 pesos at a 3% annual simple interest rate over 2 years?

PhP 9,000.00 (D) Signup and view all the answers

Which of these interest amounts is associated with the principal after Year 1 at both banks?

Php300 for both banks (A) Signup and view all the answers

What formula can be used to determine the principal amount if the future value, interest, rate, and time are known?

P = F / (1 + rt) (B) Signup and view all the answers

If a businessman made an investment that grew to PhP 130,000.00 over 5 years with an interest of PhP 30,000.00, what was the annual interest rate of his investment?

6% (D) Signup and view all the answers

What would be the future value of an investment of PhP 150,000 at a 3% annual simple interest rate after 2 years?

PhP 159,000.00 (A), PhP 159,000.00 (B) Signup and view all the answers

What is the amount initially invested by the businessman if his total investment is PhP 130,000.00 after 5 years with an interest gain of PhP 30,000.00?

PhP 100,000.00 (B) Signup and view all the answers

Which of the following is the correct way to calculate the simple interest earned?

Is = Prt (C) Signup and view all the answers

After using the second solution formula P = F / (1 + rt), what is the value of rt if r = 6% and t = 5 years?

0.3 (D) Signup and view all the answers

How much interest was earned if 100,000 pesos is invested for 5 years at a 6% simple interest rate?

PhP 30,000.00 (C) Signup and view all the answers

What is the principal amount if the interest earned is ₱1,350 with a rate of 1.5% over 3 years?

₱30,000 (C) Signup and view all the answers

What rate of interest corresponds to a principal of ₱24,000 with total interest earned of ₱1,440 after 2 years?

0.06 or 6% (A) Signup and view all the answers

If a teacher invested ₱250,000 at an interest rate of 0.5%, how long will it take to earn ₱6,250 in interest?

6 years (C) Signup and view all the answers

What is the total amount after 5 years if the teacher earned ₱7,000 from an investment with 3.5% interest per annum?

₱210,000 (C) Signup and view all the answers

How many years did Teacher Jonah take to pay off her loan of ₱150,000 with an interest of ₱33,750 at a rate of 7.5%?

4 years (D) Signup and view all the answers

If Mark borrowed ₱8,500 at a 5% annual simple interest rate, how much interest will he pay in 2 years?

₱850 (D) Signup and view all the answers

What is the simple interest earned on a principal of ₱500,000 at a rate of 3% over 4 years?

₱60,000 (A) Signup and view all the answers

What is the principal amount needed to earn interest of ₱33,750 at a rate of 7.5% over a period of 3 years?

₱150,000 (D) Signup and view all the answers

What is the present value of the investment of PhP 50,000 at 7% compound interest for 10 years?

PhP 34,993.09 (B) Signup and view all the answers

What will be the interest earned on the investment of PhP 50,000 at 7% compound interest after 10 years?

PhP 46,512.92 (D) Signup and view all the answers

How much will be obtained from the investment after 10 years?

PhP 78,512.92 (D) Signup and view all the answers

What is the present value of the loan that has accumulated to PhP 301,987.41 at 6.5% interest after 3 years?

PhP 275,885.12 (D) Signup and view all the answers

What will be the interest of the loan after 3 years if its accumulated value is PhP 301,987.41?

PhP 20,012.15 (C) Signup and view all the answers

How much will be paid after 3 years for the loan that has an accumulated value of PhP 301,987.41?

PhP 301,987.41 (C) Signup and view all the answers

How much did the depositor initially place in a time deposit to reach PhP 125,000 at 2% after 2 years?

PhP 111,290.80 (D) Signup and view all the answers

What is the future amount of the businessman’s investment if he accumulated PhP 60,000 after 5 years at 5% interest compounded yearly?

PhP 60,000.00 (B) Signup and view all the answers

What is the formula for calculating simple interest?

Y = 10 000 (1 + 0.03x) (B) Signup and view all the answers

What is the correct expression for calculating compound interest?

Y = 10 000 (1 + 0.03)^x (A) Signup and view all the answers

Which of the following is the result of compound interest when using a principal of PhP 50,000 at a rate of 3% over one period?

Y = PhP 50,000 (1 + 0.03)^1 (B) Signup and view all the answers

If a principal amount increases to PhP 120,146.10, which calculation method was likely used?

Compound interest (C) Signup and view all the answers

What would be the future value (F) if the principal (P) is PhP 250,000 and it is compounded at 3%?

F = PhP 250,000 (1 + 0.03)^2 (C) Signup and view all the answers

How does the interest accumulate for compound interest in contrast to simple interest?

Simple interest remains constant over time, compound interest increases. (C) Signup and view all the answers

Which of the following future values represents an example of simple interest calculations?

Y = PhP 16,162.97 (A) Signup and view all the answers

Based on the provided formulas, which of the following best exemplifies the multiplication effect of interest over time?

Y = 10 000 (1 + 0.03)^x (A) Signup and view all the answers

Flashcards

Simple Interest

Interest calculated only on the principal amount.

Compound Interest

Interest calculated on the principal and accumulated interest.