Step 1 :Use the formula for simple interest: \( A = P(1 + rt) \)
Step 2 :Rearrange the formula to solve for \( P \): \( P = \frac{A}{1 + rt} \)
Step 3 :Substitute the given values: \( A = 3000 \), \( r = 0.025 \), \( t = 5 \)
Step 4 :Calculate the initial investment: \( P = \frac{3000}{1 + (0.025)(5)} \)
Step 5 :Calculate the result: \( P = \frac{3000}{1.125} \)
Step 6 :Find the initial investment: \( P = 2666.6666666666665 \)
Step 7 :Round up to the nearest cent: \( P = 2666.67 \)
Step 8 :Final Answer: You must put \( \boxed{2666.67} \) in this CD now in order to have $3000 for a graduation trip in 5 years.