ANSWER:

25,525.64Php

EXPLANATION:

To calculate the total amount in Bank A after three years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Total amount

P = Principal amount (initial investment)

r = Annual interest rate

n = Number of times interest is compounded per year

t = Number of years

In this case, for Bank A:

P = 30,000Php

r = 2% = 0.02

n = 1 (compounded annually)

t = 3 years

Plugging these values into the formula, we have:

A = 30,000(1 + 0.02/1)^(1*3)

A ≈ 30,000(1.02)^3

A ≈ 30,000 * 1.061208

A ≈ 31,836.24Php

Therefore, the total amount in Bank A after three years would be approximately 31,836.24Php.

Now, let's calculate the total amount in Bank B after five years:

P = 20,000Php

r = 5% = 0.05

n = 1 (compounded annually)

t = 5 years

Using the same formula:

A = 20,000(1 + 0.05/1)^(1*5)

A ≈ 20,000(1.05)^5

A ≈ 20,000 * 1.276282

A ≈ 25,525.64Php

Therefore, the total amount in Bank B after five years would be approximately 25,525.64Php.