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IRINA_888 [86]
3 years ago
15

HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded

Mathematics
1 answer:
azamat3 years ago
7 0
19030.95
i think
take the og number times the percent then that times three and add it to the original number (sorry if that’s not right that’s just how i would do it)
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A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Morgarella [4.7K]

Answer:

y = 11 - 10cos(0.1\pi t)

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

y = h_g + d_b = h_g + R - d_c (1)

where h_g = 1 is vertical distance from the ground to the bottom of the wheel, d_b is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, d_c is the vertical distance of the person to the center of the wheel.

So solve for d_c in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)

Note that d_c is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)

7 0
3 years ago
What is the equation of a line passing through (-6,5) and having a slope of 1/3 (1 over 3) ?
krek1111 [17]
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7 0
3 years ago
Read 2 more answers
Can Someone please help me....Like pretty please....It would mean everything to me, Please help me out 1. 2. 3. 4. 5.
navik [9.2K]
<h3>Answers</h3>
  1. SSS congruence theorem
  2. SAS congruence theorem
  3. ASA congruence theorem
  4. AAS congruence theorem
  5. HL congruence theorem

================================

Explanation:

  1. SSS stands for "Side side side" indicating there are 3 pairs of sides that are same length. Visually we use tickmarks to show how the sides pair up. Eg: sides that have 1 tickmark only are the same length. If we know that all 3 pairs of sides are congruent, then we have enough info to conclude the triangles are congruent.
  2. SAS means "side angle side". The angle is between the two sides. The sides in question are the ones with tickmarks to indicate how they pair up.
  3. We have two angles and a side between them. So we use ASA this time. It stands for "Angle side angle". This is slightly different from AAS.
  4. We'll use AAS here. The side is not between the two angles. So this is why AAS is different from ASA. Some books may call "AAS" as "SAA", but they're the same thing.
  5. HL stands for hypotenuse leg. This only applies to right triangles (since the hypotenuse is a special term for the longest side of a right triangle). The hypotenuse is always opposite the 90 degree angle. This is the only time when SSA will work. Otherwise, SSA is ambiguous and it is not a valid congruence theorem.
6 0
3 years ago
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