After 5 years, Mike's account earned \( \$ 1200 \) in interest. If the interest rate (in decimal form) is 0.06 , how much did Mike initially invest? Step 2 of 3 : Without substitution, solve the formula chosen in the previous step for the unknown variable in terms of the known variable(s).
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To find how much Mike initially invested, we can use the formula for simple interest, \( I = P \times r \times t \). Rearranging this formula to solve for the principal \( P \) gives us \( P = \frac{I}{r \times t} \). Here, \( I \) represents the interest earned, \( r \) is the interest rate, and \( t \) is the time in years. Given that Mike earned \$1200 in interest at an interest rate of 0.06 over 5 years, substituting these known values can lead you to calculate \( P \) directly when you're ready!
