$$ € 2000 $$ is invested for 3 years at $$ 4 \% $$ per year at compound interest. (a) Work out the amount of the investment after 1 year.

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To calculate the amount of the investment after 1 year with compound interest, you can use the **compound interest formula**:

$$
A = P \times (1 + r)^n
$$

where:
- $$ A $$ = the amount of money accumulated after $$ n $$ years, including interest.
- $$ P $$ = the principal amount (initial investment).
- $$ r $$ = annual interest rate (in decimal).
- $$ n $$ = number of years the money is invested.

**Given:**
- Principal ($$ P $$) = €2000
- Annual interest rate ($$ r $$) = 4% = 0.04
- Number of years ($$ n $$) = 1

**Plugging the values into the formula:**

$$
A = 2000 \times (1 + 0.04)^1
$$

$$
A = 2000 \times 1.04
$$

$$
A = 2080
$$

**After 1 year, the investment amount will be €2,080.**
After 1 year, the investment will be €2,080.

\( € 2000 \) is invested for 3 years at \( 4 \% \) per year at compound interest. (a) Work out the amount of the investment after 1 year.

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