While cramming for her MAT211 final examination, Sibaliwe learns a large number of proofs. At a time t weeks after the examination, the percentage of those proofs she is able to recall is given by the formula According to this formula, p(t) % = 180 + 20e0.5t 1+e0.5t a) the percentage of proofs she is able to recall at the time of writing the examination is b) the percentage of proofs she is able to recall five weeks after writing the examination is %

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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b) the percentage of proofs she is able to recall five weeks after writing the examination
%
is
c) how many weeks after the examination will Sibaliwe be able to recall exactly 50% of the
proofs?
weeks
=
d) Applying four iterations of the Interval Halving Method to f(t) = p(t) – 50, taking the
initial approximations t₁ 1.5 and t₂ = 3.5, yield the following approximations for the number
of weeks after which Sibaliwe is able to recall exactly 50% of the proofs she memorized for
the examination:
t₂
=
t(3)
=
Transcribed Image Text:b) the percentage of proofs she is able to recall five weeks after writing the examination % is c) how many weeks after the examination will Sibaliwe be able to recall exactly 50% of the proofs? weeks = d) Applying four iterations of the Interval Halving Method to f(t) = p(t) – 50, taking the initial approximations t₁ 1.5 and t₂ = 3.5, yield the following approximations for the number of weeks after which Sibaliwe is able to recall exactly 50% of the proofs she memorized for the examination: t₂ = t(3) =
While cramming for her MAT211 final examination, Sibaliwe learns a large number of proofs.
At a time t weeks after the examination, the percentage of those proofs she is able to
recall is given by the formula
According to this formula,
p(t) =
%
180 + 20e0.5t
1 + e0.5t
a) the percentage of proofs she is able to recall at the time of writing the examination is
b) the percentage of proofs she is able to recall five weeks after writing the examination
is
%
Transcribed Image Text:While cramming for her MAT211 final examination, Sibaliwe learns a large number of proofs. At a time t weeks after the examination, the percentage of those proofs she is able to recall is given by the formula According to this formula, p(t) = % 180 + 20e0.5t 1 + e0.5t a) the percentage of proofs she is able to recall at the time of writing the examination is b) the percentage of proofs she is able to recall five weeks after writing the examination is %
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