Final answer:
The interest payable accrued on Cookie Creations' $2,000 loan at 9% annual interest up to January 31, 2024, is $37 after rounding to 0 decimal places.
Step-by-step explanation:
To calculate the interest payable that was accrued and recorded up to January 31, 2024, on Cookie Creations' $2,000 loan from Natalie's grandmother, we use simple interest formula I = Prt, where 'P' is the principal amount ($2,000), 'r' is the annual interest rate (9% or 0.09 when expressed as a decimal), and 't' is the time in years.
Since the loan was taken on November 16, 2023, and we're calculating up to January 31, 2024, the time 't' is for 2.5 months (half of November, all of December and January).
First, convert the months into years by dividing the number of months by 12. Thus 2.5 months / 12 months per year = 0.2083 years (rounded to four decimal places for precision). Now, plugging the values into the formula, we get: Interest = $2,000 × 0.09 × 0.2083 = $37.49. No cents were recorded as per the instruction to round to 0 decimal places.
Therefore, the interest payable accrued up to January 31, 2024, is $37.