https://file.aiquickdraw.com/mathbot/file/1728999455762txh2caui.jpg

Let's break down the questions from the image and solve them.

### Question 9(a)
The bank offers an interest rate of **2.2% per annum** for the savings. You are asked to complete the table with the given information.

The formula for calculating simple interest is:

\[
\text{Interest} = P \times r \times t
\]

Where:
- \( P \) = Principal amount
- \( r \) = Annual interest rate (as a decimal)
- \( t \) = Time in years

#### (i) Principal = RM20,000, Duration = 5 years

Using the formula:

\[
\text{Interest} = 20,000 \times 0.022 \times 5 = RM 2,200
\]

So, the interest for this case is RM2,200.

#### (ii) Principal = RM8,000, Duration = 5 years

We already have part of the table filled (RM1,584 interest is given for this case). So no further calculation is needed here.

### Question 9(b)
Puan Shamili deposits RM25,000 in a savings account with a **3.5% per annum** interest rate compounded every **3 months** (quarterly). We are asked to find the interest after one year.

The formula for compound interest is:

\[
A = P \left(1 + \frac{r}{n}\right)^{nt}
\]

Where:
- \( A \) = Amount after interest
- \( P \) = Principal amount (RM25,000)
- \( r \) = Annual interest rate (0.035)
- \( n \) = Number of times the interest is compounded per year (quarterly means 4 times per year)
- \( t \) = Time the money is invested (1 year)

First, let's calculate:

\[
A = 25,000 \left(1 + \frac{0.035}{4}\right)^{4 \times 1}
\]
\[
A = 25,000 \left(1 + 0.00875\right)^4
\]
\[
A = 25,000 \times (1.00875)^4
\]
\[
A = 25,000 \times 1.03547 = 25,886.79
\]

Now, the total interest earned is:

\[
\text{Interest} = A - P = 25,886.79 - 25,000 = RM886.79
\]

Hence, Puan Shamili will receive RM886.79 in interest after one year.

For the last part of the question, **if the compounding rate increases**, the total interest would increase because the interest is being compounded more frequently.

---

### Do you have any further questions or would you like more details?

### Related questions:
1. How would the total interest change if the interest rate were 4% instead of 3.5%?
2. What would the interest be if Puan Shamili invested the money for 3 years at the same rate?
3. How do simple interest and compound interest differ in terms of growth?
4. What would happen if the interest were compounded monthly instead of quarterly?
5. How does increasing the principal amount affect the total interest earned?

### Tip:
The more frequent the compounding period, the higher the interest will be because you're earning interest on interest more frequently.

A bank offers an interest rate of 2.2% per annum for the savings. Complete the table based on the information given.
(i) Principal = RM20,000, Duration = 5 years, Total Interest = ?
(ii) Principal = RM8,000, Duration = 5 years, Total Interest = RM1,584

(b) Puan Shamili deposited RM25,000 in a savings account with a rate of 3.5% per annum and quarterly compounding. Calculate the total interest received after 1 year. How would increasing the compounding frequency impact the total interest?

Learn how to calculate simple interest for bank savings with an annual rate of 2.2% and compound interest with a 3.5% annual rate, compounded quarterly. Includes examples with RM20,000 and RM8,000 over five years, and a breakdown of Puan Shamili’s RM25,000 deposit. Discover how compounding frequency affects the total interest earned.

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