Luiza's savings account had \$50$50dollar sign, 50 in its first year. Each year since then, her account accumulated interest amounting to 15\%15%15, percent of the balance in the previous year. Let g(n)g(n)g, left parenthesis, n, right parenthesis be Luiza's account balance at the n^\text{th}n
th
n, start superscript, start text, t, h, end text, end superscript year of the saving.