Anthony would need to invest approximately $9,181.84 to the nearest dollar for the value of the account to reach $13,700 in 12 years with a 3.7% interest rate compounded daily.
To find out how much Anthony needs to invest today for the value of the account to reach $13,700 in 12 years with an interest rate of 3.7% compounded daily, you can use the compound interest formula:

Where:
A = the future value of the investment ($13,700 in this case)
P = the initial principal (the amount Anthony needs to invest)
r = the annual interest rate (3.7% or 0.037 as a decimal)
n = the number of times interest is compounded per year (daily, so n = 365)
t = the number of years (12 years in this case)
We want to solve for P. Let's plug in the values:
13,700 =

Now, let's calculate the exponent part first:
1 + 0.037/365 = 1.00010136986 (rounded to 10 decimal places)
Now, raise this to the power of (365 * 12):
≈ 1.49411962
Now, the equation becomes:
13,700 = P * 1.49411962
To solve for P, divide both sides of the equation by 1.49411962:
P = 13,700 / 1.49411962 ≈ 9,181.84
So, The answer is $9,181.84.