QuestionAugust 26, 2025

Practice Try it with the following expressions: (1+(.05)/(6))^6t+300 (1-(.03)/(12))^12t+200

Practice Try it with the following expressions: (1+(.05)/(6))^6t+300 (1-(.03)/(12))^12t+200
Practice
Try it with the following expressions:
(1+(.05)/(6))^6t+300
(1-(.03)/(12))^12t+200

Solution
4.2(401 votes)

Answer

(1.008333)^{6t+300}, (0.9975)^{12t+200} Explanation 1. Simplify the First Expression The expression is (1+\frac{0.05}{6})^{6t+300}. Calculate \frac{0.05}{6} to get approximately 0.008333. Thus, the expression becomes (1.008333)^{6t+300}. 2. Simplify the Second Expression The expression is (1-\frac{0.03}{12})^{12t+200}. Calculate \frac{0.03}{12} to get 0.0025. Thus, the expression becomes (0.9975)^{12t+200}.

Explanation

1. Simplify the First Expression<br /> The expression is $(1+\frac{0.05}{6})^{6t+300}$. Calculate $\frac{0.05}{6}$ to get approximately $0.008333$. Thus, the expression becomes $(1.008333)^{6t+300}$.<br /><br />2. Simplify the Second Expression<br /> The expression is $(1-\frac{0.03}{12})^{12t+200}$. Calculate $\frac{0.03}{12}$ to get $0.0025$. Thus, the expression becomes $(0.9975)^{12t+200}$.
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