## An estimate of an actual data value has an error of $$p$$ percent if $$p=\dfrac{100|e-a|}{a},$$ where $$e$$ is the estim

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### An estimate of an actual data value has an error of $$p$$ percent if $$p=\dfrac{100|e-a|}{a},$$ where $$e$$ is the estim

by Gmat_mission » Sun Aug 15, 2021 3:50 pm

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An estimate of an actual data value has an error of $$p$$ percent if $$p=\dfrac{100|e-a|}{a},$$ where $$e$$ is the estimated value and $$a$$ is the actual value. Emma's estimate for her total income last year had an error of less than $$20$$ percent. Emma's estimate of her income from tutoring last year also had an error of less than $$20$$ percent. Was Emma's actual income from tutoring last year at most $$45$$ percent of her actual total income last year?

(1) Emma's estimated income last year from tutoring was $$30$$ percent of her estimated total income last year.
(2) Emma's estimated total income last year was $$\40,000.$$