The principal to be deposited is $ 11874.6594
Solution:
Given is a simple interest problem
Principal = ?
Simple Interest = $ 2179
[tex]Rate = 3\frac{2}{3} \% = \frac{11}{3} \% = 3.67 \%[/tex]
Number of years = 60 months = [tex]\frac{60}{12} = 5 \text{ years }[/tex]
The simple interest is given by formula:
[tex]Simple\ Interest = \frac{p \times n \times r}{100}[/tex]
Where, "p" is the principal and "r" is the rate of interest and "n" is the number of years
[tex]2179 = \frac{p \times 3.67 \times 5}{100}\\\\217900 = 18.35p\\\\p = \frac{217900}{18.35}\\\\p = 11874.6594[/tex]
Thus the principal to be deposited is $ 11874.6594