the cost of living last year went up 6%. fortunately, alice swanson got a 6% raise in her salary from last…

the cost of living last year went up 6%. fortunately, alice swanson got a 6% raise in her salary from last year. this year she is earning $31,810. how much did she make last year? $ (round to the nearest hundredth.)

the cost of living last year went up 6%. fortunately, alice swanson got a 6% raise in her salary from last year. this year she is earning $31,810. how much did she make last year? $ (round to the nearest hundredth.)

Answer

Explanation:

Step1: Let last - year salary be $x$.

The salary this year is the last - year salary plus a 6% raise. So, the equation is $x+0.06x = 31810$.

Step2: Combine like terms.

$1.06x=31810$.

Step3: Solve for $x$.

$x=\frac{31810}{1.06}$.

Step4: Calculate the value of $x$.

$x = 30009.43396$.

Step5: Round to the nearest hundredth.

$x\approx30009.43$.

Answer:

$30009.43$