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Class Note for MATH 1310 at UH


Class Note for MATH 1310 at UH

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This 6 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 12 views.

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Date Created: 02/06/15
Compound Interest Compound interest is interest computed on your original investment as well as on any accumulated amount nt Future Value with compound interest formula A P l 1 n A is the future value P is the present value r is the interest rate I is time in years n is the compounding periods per year Continuous compound interest formula A 2 Pgquot A is the future value P is the present value r is the interest rate I is time in years Exponential Growth and Decay A population experiencing exponential growth increases by the formula N N 0e N is the population at some future time N a is the initial size of the population r is the relative rate of growth I is time Example 1 If 5000 is invested at an interest rate of 225 per year compounded quarterly find the value of the investment after 6 years Example 2 If 3700 is invested at an interest rate of 365 per year compounded continuously how long will it take for the investment to grow to a value of 7000 Example 3 The function N t 3 5000e039008t describes the population in Pepperville N I I years after 2000 subject to a growth rate of 08 annually What will be the population in Pepperville in the year 2015 Example 4 A certain radioactive substance decays according to the formula m I 12 67039089 t Where m represents the mass in grams that remains after I days How much of the mass remains after 20 days Example 5 The rabbit population in a certain region has a relative growth rate of 97 per year with an initial population estimated at 11000 Find a function that models the rabbit population after Iyears Math 1310 Chapter 5 Section 56 Applications


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