To find the amount in the account after one year, we can use the formula for compound interest:
A = P * (1 + r/n)^(nt)
where:
A = the amount in the account after t years
P = the principal amount (9500)
r = the interest rate as a decimal (0.15)
n = the number of times the interest is compounded per year (1 in this case, since it's compounded once a year)
t = the number of years (1)
Plugging in the values:
A = 9500 * (1 + 0.15/1)^(1 * 1)
A = 9500 * 1.15
A = 10,925
So after one year, the amount in the account would be $10,925.