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Dora sells appliances. She is paid a commission of 6.83% of her first 1300 in sales during the week and 14% on all sales over 1300. What is her commission in a week during which she sells 2717.18 worth of appliances? Express your answer as a dollar amount and round to the nearest cent

Respuesta :

Given:

Dora sells appliances.

She is paid a commission of 6.83% of her first 1300 in sales during the week and 14% on all sales over 1300.

We will find the commission when she sells 2717.18 worth of appliances

so, we will divide her earning into two parts:

From 0 to 1300, then the amount over 1300 to 2717.18

So,

[tex]2717.18=1300+1417.18[/tex]

The first $1300, the commission is 6.83%

And the amount of $1417.18 the commission is 14%

So, her total commission will be =

[tex]\begin{gathered} 6.83\%\times1300+14\%\times1417.18 \\ =\frac{6.83}{100}\times1300+\frac{14}{100}\times1417.18 \\ =88.79+198.4052 \\ =287.1952 \end{gathered}[/tex]

Rounding the answer to the nearest cent

So, the answer will be Her commission = $287.20

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