Evaluate $\frac{\$1750{\left(1+\frac{0.11}{4}\right)}^3}{1+0.075\times \frac{275}{365}}$

A) $1,701.95
B) $1,796.85
C) $2,265.35
D) $1,897.86
E) $2,392.70

The given expression can be simplified step by step. First, calculate the compound interest part: $\$1750{\left(1+\frac{0.11}{4}\right)}^3$ . The interest rate per quarter is $\frac{0.11}{4}$ , and it's compounded for 3 quarters. Then, divide the result by the denominator, which adjusts the amount based on a simple interest calculation over a part of a year (275 days out of 365, with a 7.5% annual rate). Simplifying the expression gives approximately \$1,796.85, making option B the correct answer.