Answer:
The single deposit value will be "$15,633.62".
Explanation:
According to the question, the future values will be:
= [tex](1000\times ((1+10 \ percent)^4)+(4000\times ((1+10 \ percent)^3)+(9000\times ((1+10 \ percent)^2)+(5000\times ((1+10 \ percent))+2000[/tex]
= [tex]1464.1+5324+10890+5500+2000[/tex]
= [tex]25178.1[/tex]
By using the Present value formula, the single deposit will be:
⇒ [tex]Present \ value=\frac{Future \ value}{(1+Interest \ rate)^n}[/tex]
             [tex]=\frac{25178.1}{(1+10 \ percent)^5}[/tex]
             [tex]= \frac{25178.1}{1.61051}[/tex]
             [tex]=15,633.62[/tex] ($)
