George says that an account that earns 4% interest compounded annually and an account that earns 2% interest compounded semi-annually will be worth the same if the principals are the same

the account won't yield the same amount despite the same principal amount.

Step-by-step explanation:

To test this assertion :

Let principal = $1000

t = 1 year

Compound interest formula :

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

P = principal ; r = rate, n = number of times interest is compounded per period ; t = time

Account A :

Rate = 4% annually

A = 1000(1 + 0.04/1)^1

A = 1000 * 1.04 = $1040

Account B:

Rate = 2% compounded semianually ; n = 12 /6 = 2

A = 1000(1 + 0.02/2)^1*2

A = 1000(1.01)^2

A = 1000 * 1.0201

A = $1020.1

From the result, the account won't yield the same amount despite the same principal amount.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490