Benita invest £25000 into a fixed deposit account, which offers her an interest of rate of 12% time interest is compound annually, monthly, half yearly, quarterly for 4 years. Calculate the total amount accumulated in each.

For annual compounding, $n=1$.

$$P = \pounds 25,000$$ $$r = 0.12$$ $$n = 1$$ $$t = 4$$

$$A = 25000 \left(1 + \frac{0.12}{1}\right)^{1 \times 4}$$ $$A = 25000 (1.12)^4$$ $$A = 25000 \times 1.57351936$$ $$A = \pounds 39337.98$$

The total amount accumulated annually is $\boxed{\text{£39337.98}}$.

2) Monthly

For monthly compounding, $n=12$.

$$P = \pounds 25,000$$ $$r = 0.12$$ $$n = 12$$ $$t = 4$$

$$A = 25000 \left(1 + \frac{0.12}{12}\right)^{12 \times 4}$$ $$A = 25000 (1 + 0.01)^{48}$$ $$A = 25000 (1.01)^{48}$$ $$A = 25000 \times 1.61222607768$$ $$A = \pounds 40305.65$$

The total amount accumulated monthly is $\boxed{\text{£40305.65}}$.

3) Half-yearly

For half-yearly compounding, $n=2$.

$$P = \pounds 25,000$$ $$r = 0.12$$ $$n = 2$$ $$t = 4$$

$$A = 25000 \left(1 + \frac{0.12}{2}\right)^{2 \times 4}$$ $$A = 25000 (1 + 0.06)^8$$ $$A = 25000 (1.06)^8$$ $$A = 25000 \times 1.5938480745$$ $$A = \pounds 39846.20$$

The total amount accumulated half-yearly is $\boxed{\text{£39846.20}}$.

4) Quarterly

For quarterly compounding, $n=4$.

$$P = \pounds 25,000$$ $$r = 0.12$$ $$n = 4$$ $$t = 4$$

$$A = 25000 \left(1 + \frac{0.12}{4}\right)^{4 \times 4}$$ $$A = 25000 (1 + 0.03)^{16}$$ $$A = 25000 (1.03)^{16}$$ $$A = 25000 \times 1.6047064441$$ $$A = \pounds 40117.66$$

The total amount accumulated quarterly is $\boxed{\text{£40117.66}}$.