Answer:
see the explanation
Step-by-step explanation:
we know that    
step 1
The compound interest formula is equal to  
 
  
where  
A is the Final Investment Value  
P is the Principal amount of money to be invested  
r is the rate of interest  in decimal
t is Number of Time Periods  
n is the number of times interest is compounded per year
in this problem we have  
 
  
substitute in the formula above 
 
  
 
  
Applying property of exponents
![A=P[(1.025)^{4}]^{t}](https://tex.z-dn.net/?f=A%3DP%5B%281.025%29%5E%7B4%7D%5D%5E%7Bt%7D) 
  
 
  
step 2
The formula to calculate continuously compounded interest is equal to
 
  
where  
A is the Final Investment Value  
P is the Principal amount of money to be invested  
r is the rate of interest in decimal  
t is Number of Time Periods  
e is the mathematical constant number
we have  
 
  
substitute in the formula above 
 
  
Applying property of exponents
![A=P[(e)^{0.10}]^{t}](https://tex.z-dn.net/?f=A%3DP%5B%28e%29%5E%7B0.10%7D%5D%5E%7Bt%7D) 
  
 
  
step 3 
Compare the final amount

therefore
Find the difference
 ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.
 ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.