rational equations in financial contexts\n0.25x - 0.06x = 150\n0.19x = 150\nx = \\frac{150}{0.19} \\approx…

rational equations in financial contexts\n0.25x - 0.06x = 150\n0.19x = 150\nx = \\frac{150}{0.19} \\approx 789.47\nthis question has three parts.\npart 1. plug x = 789.47 into the original equation.\n0.25 = \\frac{0.06*789.47 + 150}{789.47}\nround the value on the right side to the nearest hundredth. enter your answer in the box.\n0.25 = \npart 2. choose the correct answer from the drop - down menu to complete the statement.\nx = 789.47 a solution.\npart 3. choose the correct answers from the drop - down menus to complete the statements.\nthe employee must have a gross income of approximately $ per paycheck to achieve a savings rate of

rational equations in financial contexts\n0.25x - 0.06x = 150\n0.19x = 150\nx = \\frac{150}{0.19} \\approx 789.47\nthis question has three parts.\npart 1. plug x = 789.47 into the original equation.\n0.25 = \\frac{0.06*789.47 + 150}{789.47}\nround the value on the right side to the nearest hundredth. enter your answer in the box.\n0.25 = \npart 2. choose the correct answer from the drop - down menu to complete the statement.\nx = 789.47 a solution.\npart 3. choose the correct answers from the drop - down menus to complete the statements.\nthe employee must have a gross income of approximately $ per paycheck to achieve a savings rate of

Answer

Explanation:

Step1: Substitute x value

Substitute $x = 789.47$ into the left - hand side of the original equation $0.25x-0.06x$. First, calculate $0.25x-0.06x=(0.25 - 0.06)x=0.19x$. Then, when $x = 789.47$, we have $0.19\times789.47 = 149.9993$.

Step2: Round the result

Round $149.9993$ to the nearest hundredth. Using the rounding rule, $149.9993\approx150.00$.

Step3: Determine if it's a solution

Since when $x = 789.47$, the left - hand side of the original equation $0.25x-0.06x$ (which is approximately $150.00$) is equal to the right - hand side ($150$), $x = 789.47$ is a solution.

Answer:

Part 1: $150.00$ Part 2: is Part 3: (No drop - down menu values provided for this part to give a full answer. But based on previous work, the employee must have a gross income of approximately $$789.47$ per paycheck to achieve the relevant savings rate situation described in the context.)