Solve. Round the answer to the nearest cent, if necessary.Last year the profit for a company was $483,000. This year's profit decreased by 2.1%. Find this year's profit.

Respuesta :

year's

this year´s profit is $ 472857

Explanation

we can easily solve this by using a rule of three

so

Step 1

a)let x represents this year's profit

so

if it is decreases by 2.1 %

[tex]\begin{gathered} x=100-2.1\text{ = 97}.9 \\ x=97.9\text{\%} \end{gathered}[/tex]

so, this year's profit is 97.9% of the last year profit

hence

[tex]\begin{gathered} \text{if} \\ 483000\rightarrow100\text{ \%} \\ x\rightarrow97.9\text{ \%} \end{gathered}[/tex]

we can make a proportion

[tex]\frac{483000}{100}=\frac{x}{79}[/tex]

finally, solve for x,

[tex]\begin{gathered} \frac{483000}{100}=\frac{x}{97.9} \\ \text{Multiply both sides by 9}7.9 \\ \frac{483000}{100}\cdot97.9=\frac{x}{97.7}\cdot97.9 \\ 472857=x \end{gathered}[/tex]

therefore

this year´s profit is $ 472857

I hope this helps you