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(1) I = prt
where
I = interest earned or $75
p = principal amount invested or $3000
r = annual rate or 5% or 0.05
t = number of years the investment is earning interest
We have
(2) 75 = 3000*0.05*t or
(3) 75 = 150*t or
(4) t = 75/150 or
(5) t = 1/2
Answer: It will take one half of a year to earn 75$.