Answer:
[tex]r=0.05[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
A is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=3\ years\\ P=\$3,000\\I=\$450\\r=?[/tex]
substitute in the formula above
[tex]450=3,000(3r)[/tex]
solve for r
[tex]450=9,000(r)[/tex]
[tex]r=450/9,000[/tex]
[tex]r=0.05[/tex]