To determine how many people will have heard about the opening plug in \(t=24\)

\(\displaystyle{y}={525}{\left({1}-{e}^{{-{{0.038}}}}{\left({24}\right)}\right)}\)

\(\sim314\)

Question

asked 2021-08-03

Sociologists have found that information spreads among a population at an exponential rate. Suppose that the function \(\displaystyle{y}={525}{\left({1}-{e}^{{-{0.038}{t}}}\right)}\text{mod}{e}{l}{s}{t}{h}{e}\nu{m}{b}{e}{r}{o}{f}{p}{e}{o}{p}\le\in{a}\to{w}{n}{o}{f}{525}{p}{e}{o}{p}\le{w}{h}{o}{h}{a}{v}{e}{h}{e}{a}{r}{d}\ne{w}{s}{w}{i}{t}{h}\in{t}{h}{o}{u}{r}{s}{o}{f}{i}{t}{s}{d}{i}{s}{t}{r}{i}{b}{u}{t}{i}{o}{n}.{G}{r}{a}{p}{h}{t}{h}{e}{f}{u}{n}{c}{t}{i}{o}{n}{o}{n}{a}{g}{r}{a}\phi{n}{g}{c}{a}{l}{c}\underline{{a}}\to{r}.{W}{h}{e}{n}{w}{i}{l}{l}{P}{S}{K}{90}\%\) of the people have heart about the grocery store opening?

asked 2020-11-03

India, \(A=1173.1e^{0.008t}\)

Iraq, \(A=31.5e^{0.019t}\)

Japan, \(A=127.3e^{0.006t}\)

Russia, \(A=141.9e^{0.005t}\)

asked 2021-06-09

\(\begin{array}{|c|c|} \hline x& y \\ \hline 1&2 \\ \hline 2&4\\ \hline 3&8\\ \hline 4&16\\ \hline 5&32\\ \hline \end{array}\)

Write a linear \((y=mx+b)\), quadratic \((y=ax2)\), or exponential \((y=a(b)x)\) function that models the data. \(y=\)

asked 2021-06-19

Canada

\(\displaystyle{A}={33.1}{e}^{{0.009}}{t}\) Uganda \(\displaystyle{A}={28.2}{e}^{{0.034}}{t}\)

Use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Uganda's growth rate is approximately 3.8 times that of Canada's.