1. **State the problem:** Calculate the value of the expression $25,000 \left(\frac{1 - (1+ 0.05)^{-5}}{0.05}\right)$. 2. **Formula and explanation:** This expression resembles the formula for the present value of an annuity: $$PV = P \times \frac{1 - (1 + r)^{-n}}{r}$$ where $P$ is the payment amount, $r$ is the interest rate per period, and $n$ is the number of periods. 3. **Calculate the power term:** $$(1 + 0.05)^{-5} = 1.05^{-5} = \frac{1}{1.05^5}$$ Calculate $1.05^5$: $$1.05^5 = 1.2762815625$$ So, $$(1.05)^{-5} = \frac{1}{1.2762815625} \approx 0.7835261665$$ 4. **Substitute back into the expression:** $$25,000 \times \frac{1 - 0.7835261665}{0.05} = 25,000 \times \frac{0.2164738335}{0.05}$$ 5. **Simplify the fraction:** $$\frac{0.2164738335}{0.05} = 4.32947667$$ 6. **Multiply by 25,000:** $$25,000 \times 4.32947667 = 108,236.91675$$ 7. **Final answer:** $$\boxed{108,236.92}$$ This is the value of the given expression rounded to two decimal places.