Answer:
$650
Explanation:
To find the amount that Simon deposited to get $87.75 in time, we need to use the formula:
![I=Prt](https://img.qammunity.org/2020/formulas/mathematics/high-school/cdjmgfdfmb2kwq036uhm16pb9npa11fpx7.png)
Let's break down our variables first.
P = ?
r = 4.5% or 0.045
t = 3
I = $87.75
Now let's plug our values into the formula.
![I=Prt](https://img.qammunity.org/2020/formulas/mathematics/high-school/cdjmgfdfmb2kwq036uhm16pb9npa11fpx7.png)
![87.75=P(0.045*3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/w6h0mha81fxbi09fry9n8ffx1aufkk2ffv.png)
![87.75=P(0.135)](https://img.qammunity.org/2020/formulas/mathematics/high-school/2vlc0l47q1hf1jykvauacuxl3of3s972g0.png)
To find P we need to divide both sides with 0.135.
![(87.75)/(0.135)=(P(0.135))/(0.135)](https://img.qammunity.org/2020/formulas/mathematics/high-school/2mbroazdsffd4k1kltle5c1n615avpxv7g.png)
![P=650](https://img.qammunity.org/2020/formulas/mathematics/high-school/36wyl6pyvk76h876u9ply3au068pibrir5.png)
This means the Simon deposited $650 to open the account.