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notsponge [240]
3 years ago
12

Markus sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elaps

ed time, t tt, in days, since Markus sent the email, and the total number of people who receive the email, P ( t ) P(t)P, left parenthesis, t, right parenthesis, is modeled by the following function: P(t)=6⋅(1.43)t Complete the following sentence about the daily percent change in the number of people who receive the email. Every day, % %percent of people are added to / subtracted from the total number of people who receive the email.
Mathematics
2 answers:
rjkz [21]3 years ago
8 0

Answer:

MArkus is a homesexual a man with many homies

Step-by-step explanation:

Ray Of Light [21]3 years ago
4 0

Answer:

Every day, 43% percent of people are added from the total number of people who receive the email

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

P(t)=a(1+r)^t

where

P(t) is the total number of people who receive the email

t is the time in days

a is the initial value

r is the rate of change

we have

P(t)=6(1.43)^t

so

a=6 ---> initial number of people who receive the email

(1+r)=1.43

solve for r

r=1.43-1\\r=0.43

Convert to percentage

0.43(100)=43\%

so

The daily percent change in the number of people who receive the email. every day is 43%

therefore

Every day, 43% percent of people are added from the total number of people who receive the email

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In the table shown below:

Let N be the number of bottles filled,

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Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

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\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}

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\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}

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Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

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