Question

a payroll officer has been told to distribute a bonus to the employees of a company worth 18% of the companys net income. since the bonus is an expense to the company, it must be subtracted from the income to determine the net income. if the company has an income of $170000 before the bonus, then the payroll officer must solve: b = 0.18(170000 - b) to find the bonus b. solve the equation to find b, correct to two decimal places.

Explanation:

Paso1: Expandir el lado derecho de la ecuación

$B = 0.18\times170000-0.18B$
$B = 30600 - 0.18B$

Paso2: Sumar $0.18B$ a ambos lados

$B+0.18B=30600 - 0.18B+0.18B$
$1.18B = 30600$

Paso3: Despejar $B$

$B=\frac{30600}{1.18}$
$B\approx25932.20$

Respuesta:

$B\approx25932.20$

Answer:

Paso1: Expandir el lado derecho de la ecuación

$B = 0.18\times170000-0.18B$
$B = 30600 - 0.18B$

Paso2: Sumar $0.18B$ a ambos lados

$B+0.18B=30600 - 0.18B+0.18B$
$1.18B = 30600$

Paso3: Despejar $B$

$B=\frac{30600}{1.18}$
$B\approx25932.20$

Respuesta:

$B\approx25932.20$