The value of Dhanu's model railway is $550.
This value increases exponentially at a rate of r% per year.
At the end of 5 years the value will be $736.

Calculate the value of r.

Respuesta :

Answer:

r = 5.83%

Step-by-step explanation:

Recall that the expression for exponential increase is:

[tex]N=N_0\,\,e^{r*t}[/tex]

where we can replace No with 550, N with 736 when t= 5

and then use natural logs to solve for "r" in the exponent:

[tex]736=550\,\,e^{r*5}\\\frac{736}{550} =e^{r*5}\\ln(\frac{736}{550})=r*5\\r=ln(\frac{736}{550})/5\\r\approx 0.058262[/tex]

which in percent form can be written as r = 5.83%