Quiz 11

Date: MATH 1090-4 - Fall 2003

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

1. If $ 1000 is invested for $x$ years at 8%, compounded quarterly, the future value is given by

   $$S(x) = 1000\cdot (1.02)^{4x}.$$

   
   
   What amount will result in 10 years?

2. Find $x$ such that $\log_8(x) = -\frac{1}{3}$.

3. Use your calculator and the change of base formula to find $\log_3(100)$.

4. Find $x$ so that $30=e^{2x}$.