1. **State the problem:** Holly deposits £550 into a savings account with simple interest at 2% per month. After 6 months, she buys a bike costing £590. We need to find how much money she has left.
2. **Formula for simple interest:**
$$I = P \times r \times t$$
where $I$ is the interest earned, $P$ is the principal amount, $r$ is the monthly interest rate (as a decimal), and $t$ is the time in months.
3. **Calculate the interest earned:**
$$I = 550 \times 0.02 \times 6 = 550 \times 0.12 = 66$$
4. **Calculate the total amount in the account after 6 months:**
$$A = P + I = 550 + 66 = 616$$
5. **Calculate the money left after buying the bike:**
$$\text{Money left} = A - 590 = 616 - 590 = 26$$
**Final answer:** Holly has £26 left after buying the bike.
Simple Interest 5Ae58F
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