Question 1129598
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The problem is VERY badly formulated.<br>
The interest equation is<br>
{{{I = prt}}}<br>
We are given that the interest I is 11900.
We are given that the annual interest rate is 6%.
We are given that the time is 50 days.<br>
We are not told whether we are to use 360 or 365 (or some other number) for the number of days in a year.  Since it is common to use 360, I will do that.<br>
Then our interest equation is<br>
{{{11900 = p(.06)(50/360)}}}
{{{p = 11900/(3/360) = 11900/(1/120) = 11900*120 = 1428000}}}<br>
Using 360 for the number of days in a year, the amount of the principal is (exactly) $1,428,000.<br>
That is not one of the answer choices, although answer choice D is close.; and answer A is in the right ballpark.<br>
But here is where the problem is formulated very badly.<br>
If you convert the 6% annual interest rate to a daily interest rate using 360 days per year and us the decimal approximation 0.00016666, you get answer D.<br>
If you convert the 6% annual interest rate to a daily interest rate using 360 days per year and us the decimal approximation 0.0001666, you get answer A.<br>
But NO DECIMAL APPROXIMATION should be used!  The EXACT answer, using 360 days per year, is $1,428,000.