Dirk entered the following expression into his graphing calculator.
13600*(1+.02/4)^
Which of these future values could he have been calculating?
To determine the future values that Dirk could have been calculating, let's break down the expression he entered into his graphing calculator:
13600*(1+.02/4)^
The expression seems to be the formula for compound interest, where:
- 13600 is the initial principal or starting amount
- 1 is added to the interest rate divided by the number of compounding periods per year, in this case, 0.02/4 since the interest rate is 2% and it is compounded quarterly
- The result is then raised to an exponent, which we are missing in the given expression
It seems that the exponent is missing in the given expression. Without knowing the value of the exponent, we cannot determine the exact future value that Dirk was calculating.
To find the future value, you need to know the number of compounding periods (n) and the time period (t). Once you have these values, you can substitute them into the formula and calculate the future value using the expression:
Future Value = Principal * (1 + r/n)^(n*t)
In this case, since the exponent is missing, we cannot determine the exact future values Dirk could have been calculating.