Veronica is self employed. in one year, veronica generates a gross income of $65,500. when calculating her taxes, veronica is allowed to deduct up to $2,500 in expenses from her gross income (to give the 'operating income'), but if her expenses exceed $2,500 then any surplus must be deducted against her income after tax. in this calendar year, veronica's total expenses were $5,500. the tax system is such that she must pay 15% tax on any operating income up to $25,000 and then 30% on any operating income over $25,000. calculate veronica's net profit, that is, the amount she earns after all taxes and expenses.

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation:

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6

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.