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(a) What are the monthly payments on a 25-year, $100,000 loan at 6% annual interest, compounded monthly? Interest is computed based on the balance at the beginning of each month, and payments are made at the end of each month.
(b) How much must be deposited each month to achieve a balance of $100,000 at the end of 25years,at 6% annual interest compounded monthly? Deposits are made at the beginning of each month, and interest is paid on the balance at the end of each month.
Is the sequence arithmetic or geometric? How do you know? Give an explicit form of this sequence and state the 50th term. Add the first 50 terms of this sequence using the appropriate formula.
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. Finde the value of an angle θ with the vertical when the string breaks.
How far is the sailboat from the lighthouse, to the nearest kilometer? (50 kilometers going up and down and 130 kilometers going side to side)
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
Oxford Floral allocated overhead of $7,815 by floor space. What is the overhead for each department? Floor space: fresh flowers, 1,000 square feet.
What was the basic problem with the manager standing over each employee while they were doing their work?
To prove summation formulae. Be sure to identify where you use the inductive hypothesis.
1) Experiment: Roll three 6-sided dice and flip a coin then record the results a) Describe a suitable sample space for the experiment that contains equally likely outcomes. b) Find the probability that the total sum of the three dice is 6 and the coi..
One of the most famous unsolved problems in mathematics is a conjecture made by Christian Goldbach in a letter to Leonhard Euler in 1742. The conjecture made in this letter is now known as Goldbach's Conjecture. The conjecture is as follows:
Find the mass of a thin plate occupying a small region cut from the ellipse x2 + 4y2 = 12 by the parabola x = 4y2 of density 5x.
A shipment of 120 computer cases that contains 5 defective cases was sent to an assembly plant. The quality control manager at the assembly plant randomly selects 5 cases and inspects them. What is the probability exactly one case is defective?
At Dot Com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book.
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