Which is the answer? Write the exponential equation with an initial value of $100$ and a growth rate of $5\mathrm{.}2\%.$

$y=100(\mathrm{.}052{)}^x$

$y=100(5\mathrm{.}2{)}^x$

$y=5\mathrm{.}2(100{)}^x$

$y=100(1\mathrm{.}052{)}^x$