Write the slope-intercept form of the line between the two points.
1 answer:
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Answer:
(x -2)² +(y +4)² = 34
Step-by-step explanation:
The center of the circle is the midpoint of the line segment:
S = (J +K)/2 = ((-1, -9) +(5, 1))/2 = (4, -8)/2 = (2, -4)
The radius of the circle is the distance between the center and either end point. We want the square of the radius for our formula.
r² = (5 -2)² +(1 -(-4))² = 9 +25 = 34
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Using the numbers we have found, the equation for circle S is ...
(x -2)² +(y +4)² = 34
Answer:
Annuity C
Step-by-step explanation:
The longer the term, the greater the contribution that interest makes. If we simply assume there is an answer among these choices, it will be the choice with the longest term: Annuity C.
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For n payments, the multiplier of the payment at 5% per year is ...
(1.05^n -1)/(0.05)
The attached graph shows this value exceeds 2n for n > 26.5. That is, for n=30, the interest earned is more than the amount contributed.
