Respuesta :
Answer:
The interest rate is 5.98%.
Step-by-step explanation:
To find : What interest rate is needed for $9,500 to earn $900 in 19 months?
Solution :
The formula of interest is given by,
[tex]I=P\times R\times T[/tex]
Where,
I is the interest amount I=$900
P is the principle P=$9500
T is the time T=19 months= [tex]\frac{19}{12}[/tex] year.
R is the interest rate
Substitute the value in the formula,
[tex]900=9500\times R\times \frac{19}{12}[/tex]
[tex]R=\frac{900\times 12}{9500\times 19}[/tex]
[tex]R=\frac{10800}{180500}[/tex]
[tex]R=0.0598[/tex]
The rate of interest in percentage is [tex]R=0.0598\times 100=5.98\%[/tex]
Therefore, The interest rate is 5.98%.