2 years ago

What single percentage change is equivalent to a 9% increase followed by a 14% decrease?

Mathematics

1 answer:

ivann1987 [24]2 years ago

8 0

Assume the number 100. 100*1.09=109. You then do 109*0.86=93.74.

So the overall decrease is 6.26%.

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2 years ago

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Evaluate k to the 6th power times p to the -7 power when k is 2 and p is -1

Solnce55 [7]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad a^n\implies \cfrac{1}{a^{-n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
k^6p^{-7}~~
\begin{cases}
k=2\\
p=-1
\end{cases}\implies (2)^6(-1)^{-7}\implies \cfrac{2^6}{(-1)^7}\implies \cfrac{64}{-1}\implies -64$