Simplify and collect like terms: $x\left(1+0.045 \times \frac{55}{365}\right)+\frac{2 x}{\left(1-0.045 \times \frac{200}{365}\right)}$
A) 2.957x
B) 2.208x
C) 3.057x
D) 2.068x
E) 1.983x

Question

Quizplus · Accepted Answer

First, simplify the expressions inside the parentheses: $1+0.045 \times \frac{55}{365} = 1 + 0.00675$ and $1-0.045 \times \frac{200}{365} = 1 - 0.02466$. Then, the expression becomes $x(1.00675) + \frac{2x}{(1-0.02466)} = x(1.00675) + \frac{2x}{0.97534}$. Simplifying further, we get $1.00675x + 2.051x$, which sums up to $3.057x$.

Simplify and Collect Like Terms x(1+0.045×55365)+2x(1−0.045×200365)x\left(1+0.045 \times \frac{55}{365}\right)+\frac{2 x}{\left(1-0.045 \times \frac{200}{365}\right)}x(1+0.045×36555​)+(1−0.045×365200​)2x​

Simplify and Collect Like Terms $x\left(1+0.045 \times \frac{55}{365}\right)+\frac{2 x}{\left(1-0.045 \times \frac{200}{365}\right)}$