Math Problem Solving

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l. A srudcnt invcsts $5000 in a savings account that eams 2.4olo interest compounded monthly.
o. Writc thc 0ccount valuc of this investment as 8 function oftime’
b. Show how to usc the functiol from part a. to find the value ofthis investment afler 8 years’
c. Algcbraically calculate the numbers ofyears for the investment to be worth S10,000.
Show all work, round final answer to the nearest year, and interpret your results with a
complete sentence.

  1. Find a formula for thc cxponcntial functior that passcs through the poiots (2, 5) and (6, 9).
    Clcarly show your algebraic work. Round values to 4 decimal places.
    Then describe the long term behavior as x –+ -oo and .x –+ co.
  2. In 2009, 80 deer were reintroduced into a wildlife refuge area from which the population had
    previously been hunted to elimimtion. By 2015, the population had grown to 180 deer. If
    this populatioD grows cxponentially, find a formula for the fiuction.
  3. You are giveo the gaph of a[ exponential function,
    a. Find a formula for the giveo function.
    b. Find the average rate of chatrge of th€ fiuction on the
    interval [-4,-3].
  4. Simplify each ofthe following expressions, ifpossible. Leave answos in exact {iorm
    a. (lne)’z b. lne c. rn(e,) d. h(-e)
    e. hG . r0 e. hk)-(he)’
    “t...i-, -.i. .:..

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