Question 1192290
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Use the continuously compounded interest formula
A = P*e^(r*t)
where,
A = final amount
P = initial amount or deposit = 4000 dollars
e = special constant = 2.718... 
r = annual interest rate = 0.00175
t = number of years = 10
Note: 0.175% = 0.175/100 = 0.00175


So,
A = P*e^(r*t)
A = 4000*e^(0.00175*10)
A = 4,070.61608860308
A = 4,070.62


Make sure to use your calculator's "e" button rather than using something like 2.718 to ensure the most accuracy possible. Your calculator will have more decimal digits stored to work with.
In this case, 4000*(2.718)^(0.00175*10) = 4,070.6087 approximately does round to 4,070.61; however, there may be other cases in which we aren't so lucky. 


Answer: <font color=red>$4,070.62</font>
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