Question

20 points, pls help

Math problem

Answer 1

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
`0.03t`

base
`\rightarrow` This is continuous growth which is represented by
`e`

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
`t` years.

Solution:

The continuous exponential growth equation is given by:

`F_v=P_ve^(rt)`

where
`F_v\rightarrow` final value

`P_v\rightarrow` initial value

`e\rightarrow` exponential
`e=2.71828183....`

`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
`0.03t`

base
`\rightarrow` This is continuous growth which is represented by
`e`