If your accountant tells you that by maintaining the current interest rate on your $750 balance for three years, you will accumulate $944.78 in your account, then what is the current interest rate?

To find out the current interest rate, you can use the formula for compound interest, which is:

`A = P(1 + r/n)^(nt)`

Where: A = the future value of the investment/loan, including interest P = the principal investment amount (initial deposit or loan amount, which is $750 in this case) r = the annual interest rate (decimal) n = the number of times that interest is compounded per year t = the number of years the money is invested or borrowed for (3 years in this case) In this situation, the problem tells us that the future value (A) of the investment is $944.78, the principal (P) is $750, and time (t) is 3 years. We are asked to solve for the annual interest rate (r). The compounding frequency (n) is not provided, but for this example, let's assume it is compounded annually (n=1). If we have different compounding period, then this would need to be included in our calculation.

Plugging the numbers into the compound interest formula and solving for r gives us:

$944.78 = $750(1 + r/1)^(1*3) $944.78 = $750(1 + r)^3

Now, we must isolate the variable r. We'll first divide both sides by $750:

$944.78 / $750 = (1 + r)^3

Next, we get the cube root of both sides to remove the exponent:

( $944.78 / $750 )^(1/3) = 1 + r

Now we just solve for r:

( $944.78 / $750 )^(1/3) - 1 = r

Plugging the numbers into a calculator will give the value of r:

(1.2597066667) - 1 = r

r ≈ (1.2597066667) - 1 r ≈ 0.2597066667 or 25.97066667%

Therefore, the current annual interest rate is approximately 25.97%.