Worldwide gross sales of Barbie's Mattel brand were $1,009,500,000 in 2014 and $905,900,000 in 2015. What is the absolute and relative change in Mattel's gross sales from 2014 to 2015?Round your answer for relative change to the nearest hundredth of a percent.Do not round until your final answer.

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SOLUTION

(a) The absolute change is the difference in value within the two years, this becomes

[tex]\begin{gathered} 905,900,000-1,009,500,000 \\ =-103,600,000 \end{gathered}[/tex]

Hence the answer is -103,600,000

(b) The relative change becomes

[tex]\begin{gathered} \frac{905,900,000-1,009,500,000\text{ }}{initial\text{ value}}\times100 \\ \frac{-103,600,000}{1,009,500,000}\times100 \\ =-10.262506 \end{gathered}[/tex]

Hence the answer is -10.26%