Marisol Rivers

2022-07-26

Write exponential functions in the form of $y=a{e}^{kt}$

find k accurate to four decimal places. If t is measured inyears, give the percent annual growth rate and continuous growthrate per year.

a) a city is growing by 26% per year.

b)a company's profit is increasing by an annual growth factor of 1.12

find k accurate to four decimal places. If t is measured inyears, give the percent annual growth rate and continuous growthrate per year.

a) a city is growing by 26% per year.

b)a company's profit is increasing by an annual growth factor of 1.12

akademiks1989rz

Beginner2022-07-27Added 16 answers

a)For the annual growth rate,

Let Po is the initial population of the city,

$P=Po(1.26{)}^{t}$

For the continuous growth rate

$P=Po{e}^{0.26t}$

b) $P=Po(1.12{)}^{t}$

Let Po is the initial population of the city,

$P=Po(1.26{)}^{t}$

For the continuous growth rate

$P=Po{e}^{0.26t}$

b) $P=Po(1.12{)}^{t}$

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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