Respuesta :

Answer:

[tex]t=1.4\ years[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I 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=?\\ P=\$12,000\\ I=\$500\\r=3\%=3/100=0.03[/tex]

substitute in the formula above

[tex]500=12,000(0.03t)[/tex]

solve for t

[tex]500=360t[/tex]

[tex]t=500/360[/tex]

[tex]t=1.4\ years[/tex]