Simplify and collect like terms: x ( 1 + 0.045 × 55 365 ) + 2 x ( 1 − 0.045 × 200 365 ) x\left(1+0.045 imes \frac{55}{365} ight) +\frac{2 x}{\left(1-0.045 imes \frac{200}{365} ight) } x ( 1 + 0.045 × 365 55 ) + ( 1 − 0.045 × 365 200 ) 2 x A) 2.957xB) 2.208xC) 3.057xD) 2.068xE) 1.983x

Question

Simplify and collect like terms:   x ( 1 + 0.045 × 55 365 )  + 2 x ( 1 − 0.045 × 200 365 )  x\left(1+0.045 	imes \frac{55}{365}ight) +\frac{2 x}{\left(1-0.045 	imes \frac{200}{365}ight) } x ( 1 + 0.045 × 365 55 ​ )  + ( 1 − 0.045 × 365 200 ​ )  2 x ​ A)  2.957xB)  2.208xC)  3.057xD)  2.068xE)  1.983x

Dylana Williams · Accepted Answer

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

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

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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​ A) 2.957xB) 2.208xC) 3.057xD) 2.068xE) 1.983x

Definitions

Learning Objectives

Learning Objectives

Related questions

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