PhaedraR605609 PhaedraR605609
  • 25-10-2022
  • Mathematics
contestada

Mary Beth recently raised her hourly rate by 5% to cover increased costs. Her new hourly rate is 23.61. Find Mary beth’s previous rate

Respuesta :

AwsT103525 AwsT103525
  • 25-10-2022

if we say

X= Previous rate

then, the new rate is the previous rate + 5% of the previous rate:

23.61=X+5%X

5%= 5/100

so now we just solve the equation

[tex]\begin{gathered} 23.61=X+\frac{5}{100}X \\ 23.61=X\cdot(1+\frac{5}{100}) \\ 23.61=X\cdot\frac{21}{20} \\ 23.61\cdot\frac{20}{21}=X \end{gathered}[/tex]

and X=22.48

So the answer is: Mary beth’s previous rate was 22.48

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