20 points, pls help Math problem

Question

asked Jul 6, 2020 81.8k views

1 Answer

Corey Porter · Answer 1 · 2020-07-10T06:05:14+0000

Answer:

Rate
$\rightarrow$ the proportion of growth is 0.03 or 3%

Co-efficient
$\rightarrow$ The initial number of books is 1000

Exponent
$\rightarrow$ The percentage multiplied by number of years is

base
$\rightarrow$ This is continuous growth which is represented by

Explanation:

Given:

Initial number of books = 1000

Rate of growth = 3%

To find the exponential expression to model the number of books in the library after
years.

Solution:

The continuous exponential growth equation is given by:

where
$F_v\rightarrow$ final value

$P_v\rightarrow$ initial value

$e\rightarrow$ exponential

$r\rightarrow$ rate of growth

$t\rightarrow$ time

Given data:

$P_v=1000\ books\\r=3\%=0.03\\t=t \ years$

Plugging in the given values in the formula:

F_v=1000e^(0.03t)

So, we have

Rate
$\rightarrow$ the proportion of growth is 0.03 or 3%

Co-efficient
$\rightarrow$ The initial number of books is 1000

Exponent
$\rightarrow$ The percentage multiplied by number of years is

base
$\rightarrow$ This is continuous growth which is represented by