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by: StevenSmith

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# Math 1101 Study Guide MATH 1101

Marketplace > Georgia State University > Math > MATH 1101 > Math 1101 Study Guide
StevenSmith
GSU

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These are the notes over what we're covering on test 4
COURSE
INTRO TO MATHEMATICAL MODELING
PROF.
Jheng
TYPE
Study Guide
PAGES
7
WORDS
KARMA
50 ?

## Popular in Math

This 7 page Study Guide was uploaded by StevenSmith on Thursday April 21, 2016. The Study Guide belongs to MATH 1101 at Georgia State University taught by Jheng in Spring 2016. Since its upload, it has received 14 views. For similar materials see INTRO TO MATHEMATICAL MODELING in Math at Georgia State University.

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Date Created: 04/21/16
Test 4 study guide Math 1101 l. Write the given statement in a equivalent logarithmic form. 2. Write the given statement in an equivalent exponential form. 1) 109464=3 3) log 0.1 | 2) 34=31 3) /o­l = ov l 2. 4) log x = 6 er=x 5) log x 4) (062 x 6) Inx = 5 54) l) 10 9 4. Use the properties of 10 a •'t l­  5. Rewrite the express ion as a single logarithm. 1) 71n(x+4) ­ 91nx 2) 510g(x­4) + 910g(x+3) @1618+ 7.  Int Iq(7J of The Richter scale measurement for an island earthquake of 2009 was 6.8. Fl d the intensity  630  443 moles per liter.or PTI is pH = —log[H+], where [H +1 is the concentration of hydrogen ion in  l) Find the pH value of a solution for which [H +] = 0.0000068 moles per liter (Round to nearest  tenth as needed) 6—1468 2) The pH of a fruit juice is 5.3. What is the hydrogen ion concentration of the juice? 9. Solve the following exponential or logarithmic equations. 10. The amount of l'adioactive isotope thorium­234 present in a certain sample at time I is given  by A(t) = 600 e­0.034/ grams, where t years is the time since the initial amount was  measured. a) Find the initial amount of the isotope that is presen he sample, A(O)  600 b) Find the half­li e f this isotope. That is, find the number of years until, half of the  original amount of the isotope remains.  2­0 396/Qx­ec9gnrs) I l . After the end of an advertising campaign, the daily sales of a product fell rapidly, with daily  sales given by S—40000 (3 ) dollars, where x is the number of days after the end of the  campaigni How many days passed aftel' the campaign ended when the daily sales were 10000 dollars? g —10000 144 ( woo 4000 0 ( 3 12. The population of a city was 280000 in 2005 and its population after 2005 is given by the function P(T )=280000 e0.015/ where T is the number of years since 2005. In what year will the population reach 297314? 2017314=2800000   Ov01fT (n  6 19))  In IS     2 0­VJ—t 13. At the end oft years, the future value of an  investment of \$20000 at 2%, compounded annually, is given by S 20000(1+ 0.02)t In how 14, a) Write retail b) Use c) Finthe doublingllie. 15. At  = c It campaign,weekly amounteto\$ 16000and en ecrea the end of an advertising  by 4% each week after the end of the campaign. a) Write the equation of the exponential function, in the )  , that models the  weekly sales. IC1000( I ­0011') ex ­ number of woks  c)Whenwillthesales 1007) ) C, (5) b) Find the sales 5 weeks after the end of the advertising campaign,. Y:  (0'6)5 16. Suppose that \$ P is invested in a savings account in which interest is compounded h continuously at interest rate r. The amount A accumulated after t years, is A — P e  / . Suppose that \$ 8000 is invested at 3.5% compounded continuously. a) Find the value of the investment after 6 years. b) Find the doubling time. 0.022btAme ­ %2 17.At the end oft yeärs, the future value of an investment of \$ 40000 at 5%, compounded  annually, is given by S—40000 (1 In how many years will the investment grow to  859098.22? ha 18, At the end of t years, the future value of an investment of \$ 25000 in an account that pays 6.6% APR compounded monthly is S 25000 (1 + 0.066 12t dollars, a) 50,00 25, Iboq b)

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