Solve the problem.
-The amount of particulate matter left in solution during a filtering process decreases by the equation $\mathrm { P } ( \mathrm { n } ) = 700 ( 0.5 ) ^ { 0.6 \mathrm { n } }$, where $\mathrm { n }$ is the number of filtering steps. Find the amounts left for $\mathrm { n } = 0$ and $\mathrm { n } = 5$. (Round to the nearest whole number.)
A) $700 ; 22$
B) $700 ; 88$
C) $1400 ; 88$
D) $700 ; 5600$

Question

Quizplus · Accepted Answer

Substituting n = 0 into the equation, we get: P(0) = 700(0.5)^0 = 700.
Substituting n = 5 into the equation, we get: P(5) = 700(0.5)^(0.6*5) = 88. Therefore, the amounts left for n = 0 and n = 5 are 700 and 88, respectively. The only answer choice that matches these values is B.

Solve the Problem P(n)=700(0.5)0.6n\mathrm { P } ( \mathrm { n } ) = 700 ( 0.5 ) ^ { 0.6 \mathrm { n } }P(n)=700(0.5)0.6n

Solve the Problem $\mathrm { P } ( \mathrm { n } ) = 700 ( 0.5 ) ^ { 0.6 \mathrm { n } }$