Simplify and collect like terms: $\frac{P}{1+0.07 \times \frac{5}{12}}+2 P\left(1+0.07 \times \frac{4}{12}\right)$
A) 3.076P
B) 3.018P
C) 2.787P
D) 3.532P
E) 2.956P

Question

Quizplus · Accepted Answer

First, simplify each term: $\frac{P}{1+0.07 \times \frac{5}{12}} = \frac{P}{1.0291667}$ and $2P(1+0.07 \times \frac{4}{12}) = 2P(1.0233333)$. Calculate each and add them: $\frac{P}{1.0291667} \approx 0.9718P$ and $2P(1.0233333) \approx 2.0466P$. Adding these gives approximately $3.0184P$, which is closest to 3.018P.

Simplify and Collect Like Terms P1+0.07×512+2P(1+0.07×412)\frac{P}{1+0.07 \times \frac{5}{12}}+2 P\left(1+0.07 \times \frac{4}{12}\right)1+0.07×125​P​+2P(1+0.07×124​)

Simplify and Collect Like Terms $\frac{P}{1+0.07 \times \frac{5}{12}}+2 P\left(1+0.07 \times \frac{4}{12}\right)$