Answer:
card I by $82.50
Step-by-step explanation:
As you know the compound interest formula is ...
A = P(1 +r/n)^(nt)
For card H, P=1186.44, r=0.1474, n=1, t=3, so the balance will be ...
A = $1186.44(1.1474^3) ≈ $1792.22
For card I, P=1522.16, r=0.125, n=12, t=3, so the balance will be ...
A = $1522.16(1 +.125/12)^(12·3) ≈ $2210.44
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The increase in card H is ...
$1792.22 -1185.44 = $605.78
The increase in card I is ...
$2210.44 -1522.16 = $688.28 . . . . . . card I increased more
The difference in the increases is ...
$688.28 -605.78 = $82.50
Card I increased by $82.50 more than card H in the time period.
