A coincoin sold for ​$264 in 1977 and was sold again in 1989 for $475. Assume that the growth in the value V of the​ collector's item was exponential. Find the value k of the exponential growth rate. Assume Vo=264.

Respuesta :

Answer:

The exponential growth rate=k=0.0489

Explanation:

The formula we are going to use is:

[tex]V=V_oe^{kt}[/tex]

Where:

V is the final value

V_o is the initial value

K is the exponential growth

t is the time

In our case:

V=475

V_o=264

t=12 years

Required:

The exponential growth rate=k=?

Solution:

[tex]475=264e^{k*12}\\k=\frac{1}{12}ln(\frac{475}{264})\\ k=0.0489[/tex]

The exponential growth rate=k=0.0489