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Investing $1000 at an annual interest rate of r%, compounded continuously, for 10 years gives you a balance of $B, where B = g(r). Give a financial interpretation of the statements:
(a) g(5) ≈ 1649.
(b) g (5) ≈ 165. What are the units of g'(5)?
A converging lens (f = 14.6 cm) is located 31.4 cm to the left of a diverging lens (f = -7.91 cm), Find the overall magnification
A uniform bar of length 18 m and mass 1 kg is attached to a wall with a hinge that exerts a horizontal force Hx and a vertical force Hy on the bar. find the magnitude of the horizontal force Hx on the pivot
A hiker begins a trip by first walking 23.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, Determine the components of the hiker's displacement for each day
11.50 kg block of metal measuring 12.0 cm x 10.0 cm x 10.0 cm is suspended from a scale and immersed in water. the 12.0
a piece of copper wire is formed into a rectangle. The length of the rectangle is 3m and the width is 2m. what is the average electrical energy dissipated in the resistance of the wire
A 1.0cm x 1.0cm parallel-plate capacitor has 3.0 mm spacing. The electric field strength inside the capacitor is 1.4x105 V/m. What is the potential difference across the capacitor
A duck has a mass of 3 kilogram. As the duck paddles, a force of 0.10 Newton acts on it in a direction due east. Estimate the magnitude and direction (relative to due east) of displacement that the duck undergoes in 3.9 second while the forces are ..
A thin spherical shell of mass 0.450 kilogram and diameter 0.230 meter is filled with alcohol (ρ = 806 kg/m3). Compute the acceleration of the alcohol-filled shell
The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows with a constant acceleration -5.90 m/s2 for 4.50 s, With what speed does the car then strike the tree
A ball is thrown vertically upward with a speed of 19.0 m/s. How long does it take to reach its highest point
Calculate the direction of the average force on the ball during the contact . The magnitude of the average force is 4700N
A softball of mass 0.220 kg that is moving with a speed of6.0 m/s (in the positive direction)collides head-on and elastically with another ball initially atrest. Calculate the velocity of the target ball after the collision
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