1. **State the problem:**
We have a flat costing 103500 that depreciates by 2.3% each year for 3 years. We want to find its value after 3 years.
2. **Formula used:**
The depreciation formula for value after $n$ years is:
$$ V = P \times (1 - r)^n $$
where:
- $V$ is the value after $n$ years,
- $P$ is the initial price,
- $r$ is the depreciation rate (as a decimal),
- $n$ is the number of years.
3. **Apply the values:**
Initial price $P = 103500$
Depreciation rate $r = 2.3\% = 0.023$
Number of years $n = 3$
4. **Calculate:**
$$ V = 103500 \times (1 - 0.023)^3 $$
$$ V = 103500 \times (0.977)^3 $$
5. **Calculate the power:**
$$ (0.977)^3 = 0.977 \times 0.977 \times 0.977 $$
$$ = 0.977 \times 0.977 = 0.954529 \rightarrow 0.954529 \times 0.977 = 0.932674 $$
6. **Multiply:**
$$ V = 103500 \times 0.932674 $$
$$ V = 96406.269 $$
7. **Final answer:**
The value of the flat after 3 years is approximately **96406.27**.
Flat Depreciation D6Dc38
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