Answer: Option (B) is correct.
<em>Given:</em>
<em>P = $6000</em>
<em>r = 6%</em>
<em>t = 6 years and 7 months = 79 months</em>
∵ It is compounded semi-annually
∴
I = 8854.72 - 6000
<em>I = 2854.72</em>
A chain fits tightly around two gears as shown. What is the radius of the smaller gear? Round your answer to the nearest tenth.
2 answers:
See image attached
We could find the length of the radius of the small circle using pythagorean theorem. There is a right triangle formed from the picture above. Pythagorean theorem states the sum of the squares of the perpendicular sides on the right triangle is equal to the square of its hypotenuse.
(8 - r)² + 20² = 21²
(8 - r)² + 400 = 441
(8 - r)² = 441 - 400
(8 - r)² = 41
8 - r = √41
r = 8 - √41
r = 8 - 6.403
r = 1.597
to the nearest tenth
r ≈ 1.6
The radius of the small circle is approximately 1.6 in
We could find the length of the radius of the small circle using pythagorean theorem. There is a right triangle formed from the picture above. Pythagorean theorem states the sum of the squares of the perpendicular sides on the right triangle is equal to the square of its hypotenuse.
(8 - r)² + 20² = 21²
(8 - r)² + 400 = 441
(8 - r)² = 441 - 400
(8 - r)² = 41
8 - r = √41
r = 8 - √41
r = 8 - 6.403
r = 1.597
to the nearest tenth
r ≈ 1.6
The radius of the small circle is approximately 1.6 in
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bear in mind that, the vertex is "p" distance from the focus, and "p" distance from the directrix
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and the vertex is half-way between the focus point and the directrix