1. **State the problem:** Mohsin’s earnings increase exponentially at a rate of 8.7% each year. In 2018, he earned 195600. We want to find how much more he earns in 2027 compared to 2018.
2. **Formula used:** The formula for exponential growth is $$A = P(1 + r)^t$$ where:
- $A$ is the amount after time $t$ years,
- $P$ is the initial amount,
- $r$ is the growth rate (as a decimal),
- $t$ is the number of years.
3. **Identify values:**
- $P = 195600$
- $r = 0.087$
- $t = 2027 - 2018 = 9$
4. **Calculate earnings in 2027:**
$$A = 195600(1 + 0.087)^9 = 195600(1.087)^9$$
5. **Calculate $(1.087)^9$:**
$$1.087^9 \approx 2.039$$
6. **Calculate $A$:**
$$A = 195600 \times 2.039 = 398798.4$$
7. **Calculate how much more he earns in 2027 than 2018:**
$$\text{Difference} = A - P = 398798.4 - 195600 = 203198.4$$
**Final answer:** Mohsin earns approximately 203198.4 more in 2027 than in 2018.
Exponential Earnings A42D21
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