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$$S=500(1.02)^{t}$$$\newline$The given equation models the amount of money in dollars, $S$, in a savings account $t$ years after the initial deposit was made. If the interest rate remains constant, which of the following equations models the amount of money in the savings account $d$ decades after the initial deposit was made?$\newline$Choose $1$ answer:$\newline$(A) $\boldsymbol{S}=500(1.02)^{\frac{d}{10}}$$\newline$(B) $S=500(1.02)^{10 d}$$\newline$(C) $S=500(1.22)^{10 d}$$\newline$(D) $S=500(1.002)^{d}$