Module 3 Case Assignment

Module 3 Case Assignment - f(x = 3x f(1/3 = 3(1/3 f(1/3 =...

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Trident University Rafael E. Martinez MAT101 - College Mathematics Module 3 Case Assignment Dr. Gregory Dlabach The problems below follow closely the examples shown in the back ground materials.  Complete these problems  showing your work and turn them in by the end of the Module.  1. An initial investment of \$1000 is appreciated for 8 years in an account that earns 2.5% interest, compounded annually. Find the amount of money in the account at the end of the period .    A=P (1+r) nt A=1000 (1+2.5)8(1) A= \$ 1218.40 2. Let f(x) = 3 x . Find f( 3) and f(1/3). f(x) = 3x, f(3) = 3(3), f(3) = 9

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Unformatted text preview: f(x) = 3x, f(1/3) = 3(1/3), f(1/3) = 3/3, f(1/3) = 1 2. Let f(x) = 3^x. Find f( 2). F(2)= 3 2 F(2)= 9 3. Solve the equation 1296^x = 6 since 1296 = 6^4 then 1296^x = 6 (6^4)^x = 6 6^(4x) = 6 4x = 1 x = 1/4 4 . If \$ 2500 is invested in an account that pays interest compounded continuously, how long will it take to grow to \$ 5000 at 3%? Round to the nearest tenth. F + P ert 5000 = 2500e 0.03t 2 = e 0.03t 0.03t = ln 2 T = ln 2 0.03 T = 23.1 years 5. Simplify the expression. 3 log 3 (6x – 4) A = 3log (6x-4) Then A = 6x-4...
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Module 3 Case Assignment - f(x = 3x f(1/3 = 3(1/3 f(1/3 =...

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