Answer:
More than 48%
Explanation:
If the interest is calculated monthly based on the outstanding balance, it leads to an effective annual rate of...
(1 + 4%)^12 - 1 = 60.1%... more than 48%
Displacement stabilizes over time. It is known that exponentials raised to infinity approach zero, hence the system model will yield as time approaches infinity, resulting in 4x'' + e−0.1tx = 0. As time approaches infinity, we deduce that 4x'' equals zero. Consequently, upon integrating, we derive 4x' = c, and further integration leads to the conclusion 4x = cx + d.
<span>A force of 110 N is applied at an angle of 30</span>°<span> to the horizontal. Because the force does not align directly either vertically or horizontally with the sled, it can be broken down into two components based on sine and cosine.
For the component parallel to the ground:
x = rcos</span>β
<span>x = 110cos30</span>°
<span>x = 95.26
For the component perpendicular to the ground:
y = rsin</span>β
<span>y = 110sin30</span>°
<span>y = 55</span>
a) The force's magnitude is
, and it acts in the direction from south to north, meaning upward. b) The force's magnitude is
, with the direction pointing towards the west. c) The magnitude of the force is
, indicating zero force since the magnetic field aligns parallel to the current (south to north). d) Our conclusion is that the magnetic force is not substantial enough to create impactful consequences at a standard household current of 1.5 A.
To calculate the rate, first convert units properly. Since 1 kilogram equals 1,000,000 micrograms, 1.6 kilograms is 1,600,000 micrograms. One week has 604,800 seconds. Therefore, dividing 1,600,000 micrograms by 604,800 seconds gives the rate. Simplifying, this results in 2.65 µg/s. I hope this answers your question.
