Answer: D. [tex] (1.08)^5\times x[/tex]
Step-by-step explanation:
The formula to find the compound amount (investment plus interest ) at the end of t years :
[tex]A= (1+r)^t\times P[/tex] (1)
, where r= rate of interest ( in decimal)
P= Initial amount.
As per given , we have
P = x dollars
r = 8% = 0.08
t = 5
Put all the values in (1) , we get
[tex]A= (1+0.08)^5\times x[/tex]
[tex]A= (1.08)^5\times x[/tex]
Therefore , the the expression that represents the value, in dollars, of Pat's investment plus interest at the end of 5 years :
[tex] (1.08)^5\times x[/tex]
Hence, the correct answer is D. [tex] (1.08)^5\times x[/tex]
