If $20,000 was invested 82 days ago at an interest rate of 13.75%, what would be the value of the investment today?

A) $19,401
B) $20,618
C) $22,750
D) $20,000
E) $26,306

The value of the investment today can be calculated using the formula for simple interest: $A=P(1+rt)$ , where $A$ is the amount of money accumulated after n days, including interest, $P$ is the principal amount ($20,000), $r$ is the annual interest rate (13.75% or 0.1375 when expressed as a decimal), and $t$ is the time the money is invested for in years. Since the investment is for 82 days, we convert this to years by dividing by 365 (82/365 ≈ 0.2247 years). Plugging the values into the formula gives us: $A=20000(1+0.1375\times 0.2247)\approx \$20,618$ .