Ms. Smythe put $7,000 in a retirement account that offers 6% interest compounded annually. She makes no additional deposits or withdrawals. Which amount is closest to the balance in her account at the end of 4 years?

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(x) - (y) = (1 + 4i)

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.