Evaluate $\frac{\$ 1500\left(1+0.055 \times \frac{3}{12}\right)}{1+0.10 \times \frac{9}{12}}$
A) $1,414.53
B) $1,843.18
C) $348.85
D) $454.56
E) $1,625.58

Question

Quizplus · Accepted Answer

The expression simplifies as follows: First, calculate the interest for 3 months at a 5.5% annual rate, then divide by the amount after applying a 10% annual rate for 9 months. Simplifying the expression gives: $\frac{1500(1+0.055 \times \frac{3}{12})}{1+0.10 \times \frac{9}{12}} = \frac{1500(1+0.01375)}{1+0.075} = \frac{1500 \times 1.01375}{1.075} = \frac{1520.625}{1.075} \approx 1414.53$.

Evaluate $1500(1+0.055×312)1+0.10×912\frac{\$ 1500\left(1+0.055 \times \frac{3}{12}\right)}{1+0.10 \times \frac{9}{12}}1+0.10×129​$1500(1+0.055×123​)​ A) $1,41453 B) $1,843

Evaluate $\frac{\$ 1500\left(1+0.055 \times \frac{3}{12}\right)}{1+0.10 \times \frac{9}{12}}$ A) $1,41453
B) $1,843