Tax Interest
1. The problem asks to find the total amount to pay after 10 years if an initial tax of 9559 is subject to 15% interest per year.
2. This is a compound interest problem where the total amount $A$ after $t$ years is given by the formula:
$$A = P(1 + r)^t$$
where $P$ is the principal (initial amount), $r$ is the annual interest rate (as a decimal), and $t$ is the number of years.
3. Substitute the given values: $P = 9559$, $r = 0.15$, and $t = 10$:
$$A = 9559(1 + 0.15)^{10} = 9559(1.15)^{10}$$
4. Calculate $(1.15)^{10}$:
$$1.15^{10} \approx 4.045557734$$
5. Multiply by the principal:
$$A \approx 9559 \times 4.045557734 = 38668.68$$
6. Round down to the nearest integer:
$$\boxed{38668}$$
So, after 10 years, you would pay 38668.