Respuesta :
Answer:
Option A - [tex]I=0.047P[/tex]
Step-by-step explanation:
Given : The simple interest on an investment is directly proportional to the amount of the investment. By investing $2400 in a certain bond issue, you obtained an interest payment of $111.75 after 1 year.
To Find : A mathematical model that gives the interest I for this bond issue after 1 year in terms of the amount invested P ?
Solution :
Using interest formula,
[tex]I=P\times R\times T[/tex]
Where, I is the interest I=$111.75
P is the principal P=$2400
T is Time T=1 year
Substitute the value,
[tex]111.75=2400\times R\times 1[/tex]
[tex]R=\frac{111.75}{2400}[/tex]
[tex]R=0.0465625[/tex]
[tex]R=0.047[/tex]
A mathematical model that gives the interest I for this bond issue after 1 year in terms of the amount invested P is given by,
[tex]I=P\times 0.047\times 1[/tex]
[tex]I=0.047P[/tex]
Therefore, Option A is correct.
