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If the account earns interest at a rate of 6% per annum, convertible quarterly, after how many years (to 2 decimal places) will your account balance reach 2,200? 5. 100 is deposited into an account at the beginning of each year for 20 years. The account earns compound interest at a level rate in all years. The balance at the end of 20 years is 3 times the balance at the end of 10 years. What is the balance in the account at the end of 20 years?
Formulate and prove a version of the division algorithm for integers allowing negative remainders. Will you be able to preserve uniqueness of the quotient and remainder?
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
What do we gain by studying geometry? Do you see any geometric concepts being used in your area of expertise or in your day-to-day experiences? Explain
Find whether the given information results in one triangle.
Suppose that men arrive at a ticket counter according to a Poisson process at the rate of 120 per hour, and women arrive according to an independent Poisson process at the rate of 60 per hour. Determine the probability that four or fewer people ar..
A catalog describes two types of freezers. Type A has a storage capacity of 60 cm x 60 cm x 150 cm and costs $339; type B has a storage capacity of 55 cm x 72 cm x 160 cm and costs $379. Which freezer gives you more cubic cm per dollar?
Find how much radioactive material remains after 8 hours. Round your answer to the nearest thousandth.
Determine how much they must invest today at 10.4% compunded at semiannually to accomplish their goal.
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
The circumference of a sphere was measured to be 83000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
What does the graph look like- describe the x placement. What is the graph function called? Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are..
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