The number of new domestic wind turbine generators installed each year in a particular country has been forecast to increase at a constant multiplicative rate of $15\%$ per annum for the foreseeable future. This year $($t $=0)100$ new generators were installed. What is the total number of new generators including this year's, that would have been installed within the next ten years $($that is up to and including year t $=9)?$ Use a discrete model for the growth process. $900$

$235$

$1679$

$2030$