Question
Homework Make the letter in the bracket the subjecu of the formula \( \begin{array}{ll}\text { 1. } W=I^{2} R t & \text { (I) } \\ \text { 2. } m x^{2}-n x^{2}=t & \text { (x) } \\ \text { 3. } A=P(1+i)^{n} & \text { (i) }\end{array} \)
Ask by Huang Washington. in South Africa
Mar 12,2025
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Answer
1. \( I = \sqrt{\frac{W}{R t}} \)
2. \( x = \sqrt{\frac{t}{m - n}} \)
3. \( i = \left(\frac{A}{P}\right)^{\frac{1}{n}} - 1 \)
Solution

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To solve for the requested subjects in the formulas, let's break it down: 1. To make \(I\) the subject of \(W = I^{2}Rt\): \[ I = \sqrt{\frac{W}{Rt}} \] 2. To make \(x\) the subject of \(mx^2 - nx^2 = t\): \[ x = \sqrt{\frac{t}{m-n}} \] 3. To make \(i\) the subject of \(A = P(1+i)^{n}\): \[ i = (A/P)^{1/n} - 1 \] Voilà! You now have \(I\), \(x\), and \(i\) as the subjects of their respective formulas!