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Note that the interest rate is prorated for interest accumulated before the year is up. For example, if the annual rate is 12%, the amount compounded after 1 month is only 1%. (a) Suppose interest accrues quarterly (four times per year). I. What is the balance at the end of the first quarter (in terms of P and r)? [Hint: the interest rate for 1 quarter is r/4.] Ii. What is the balance at the end of the second quarter? Iii. What is the balance at the end of the third quarter? Iv. What is the balance at the end of the first year? (Four quarters) v. What is the balance after t years?
A 105 ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire ne..
A motorboat travels 455 km in 7 hours going upstream and 963 km in 9 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Assume f : R -> R is differentiable and there exists an L
Find the elasticity of demand E for the demand function q = 40,000 - 10p2.
arest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?
If, in a special right triangle the sides are denoted by "a, b, c" and the angles are denoted by "A, B, C" If I knew only C was 90 degrees, that a was 6 units long and b was 13 units long. How would I be able to find the degrees of Angle A and B?
You walk 84 yards due south, then 145 yards due west, and then 35 yards due north. How far away is your starting point?
I know how to do part 1 and 2 , but then i dont know how to do part 3. Can you please help. Here is the problem
integral over gamma of e^(iz) / z^2 dz, where gamma(t) = e^(it), 0=
A rectangular swimming pool 20 ft long, 12 ft wide, and 12 ft deep is filled with water to a depth of 11.5 ft. How much work would be required to pump half of the water into a drain at the top edge of the pool. (Take as the density of water delta ..
In order to help you through college, your parents just deposited $20,000 into a bank account paying 6% interest. Starting tomorrow you plan to withdraw equal amounts from the account at the beginning of each of the next four years. What is the MO..
five school children are weighed in pairs. the readings (in kilograms) are: 58,60,61,64,65,67,68,70 and 71. find the weight of the individual children.
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