Was Susan B. Anthony right in her prediction in this quote, why or why not? “We shall someday be heeded (noticed), and when we shall have our amendment to the Constitution of the United States, everybody will think it was always so, just exactly as many young people think that all the privileges, all the freedom, all the enjoyments which woman now possesses always were hers. They have no idea of how every single inch of ground that she stands upon today has been gained by the hard work of some little handful of women of the past.” ~Susan B. Anthony, 1894

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Ответ:

nataliahenderso

21.12.2022

English

(See explanation)

Step-by-step explanation:

The differential equation for a exponential growth is:

$\frac{dn}{dt} = k\cdot n$

The formula is rearranged and integrated afterwards:

$\frac{dn}{n} = k \cdot dt$

$\int\limits_{n_{o}}^{n} {\frac{dn}{n} } = k\cdot \int\limits_{0}^{t}\, dt$

$\ln \frac{n}{n_{o}} = k\cdot t$

$\frac{n}{n_{o}} = e^{ k\cdot t}$

$n = n_{o}\cdot e^{k\cdot t}$

The exponential growth function can be used to find the montly growth function as follows:

$\ln 1.2 = k\cdot 12$

k = 0.015

The coeffcients of the expression are, respectively:

$n_{o} = 25$

k = 0.015

The exponential growth function with a monthly growth rate is:

$n(t) = 25\cdot e^{0.015\cdot t}$ , where t is measured in months.

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