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Published byEthan Stafford Modified over 9 years ago
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Pg. 255/268 Homework Pg. 277#32 – 40 all Pg. 292#1 – 8, 13 – 19 odd #6 left 2, up 4#14Graph #24 x = #28x = 6 #35 Graph#51r = 6.35, h = 9, V = 380 #1 Graph#3a) dec b) inc c) dec #5 down 4#7right 3 #9 left 1, up 7#15a = c
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5.1 Exponential Functions Suppose the half-life of a certain radioactive substance is 20 days and there are 5g present initially. Draw a complete graph of an algebraic representation of this problem situation and find when there will be less than 1g of the substance remaining.
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5.2 Simple and Compound Interest Simple Interest Suppose P dollars are invested at a simple interest rate r, then the simple interest formula for the total amount T after n interest periods is: T = P(1 + nr) Example: Silvia deposits $500 in an account that pays 7% simple annual interest. How much will she have saved after 10 years?
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5.2 Simple and Compound Interest Compound Interest Compound Interest is when financial institutions pay interest on the interest. Suppose P dollars are invested at an interest rate r, then the compound interest formula for the total amount S after n interest periods is: S = P(1 + r/n) nt Example Suppose $500 is invested at 7% interest compounded annually. Find the value of the investment after 10 years. How much should be invested at 6.25% compounded semi-annually in order to have an investment of $1,500 after 5 years?
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5.2 Simple and Compound Interest Compound Interest Suppose $1000 is invested at 8%. Find the value of the investment after one year when it is compounded – Annually – Quarterly – Monthly – Weekly – Daily – Hourly Continuous Interest If P dollars are invested at APR r (in decimal form) and compounded continuously, then the value of the investment after t years is given by: S = Pe rt
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