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Practice 04 Math 142 - Section 2.5 (1626672)
Due:Wed Jan 26 2011 11:55 PM CST
1.
Question 12345
Question DetailsTAMUBusCalc 2.6.001. [1686311]
Solve the following e x pone ntia l e qua tion using prope rtie s of e x pone nts. (Ente r your answe rs a s a com m a-se pa ra te d list.)
1
2
2x ·
2 4x
= 2 21
x =
2.
Question DetailsTAMUBusCalc 2.6.002. [1686305]
A study conducte d in 2000 e stim a te d that the populatio n of a ce rtain Euro pe a n na tion was 14.9 m illion. The study a lso
conclude d that the a nnua l growth rate of the country is 1.2%.
(a) W hat is the e x pe cte d nationa l po pulation in 2013? (R ound your answe r to the ne a re st hundre d thousa nd.)
m illion pe ople
(b) W hat is the e x pe cte d population in 2045? (R ound your answe r to the ne a re st hundre d thousa nd.)
m illion pe ople
3.
Question DetailsTAMUBusCalc 2.6.003. [1686285]
Solve the following e quation. (Ente r your answe rs a s a com m a-se pa rate d list.)
x
2 x
4(5 ) − x 5 = 0
x =
4.
Question DetailsTAMUBusCalc 2.6.004. [1390525]
The ave rage e nd-o f-ye ar bonuse s pa id to e x e cutive s at a corporation in various ye a rs are re corde d in the table be low.
Year
A verage Bonus
(thousands of dollars)
1989
1993
1997
2001
2005
362.594 416.496 474.982 542.701 622.215
An e x pone ntial m o de l ba se d on this se t of data is
B(x) = 363.115(1.034 x )
whe re B is the ave rage bo nus in thousa nds o f dollars a nd x is the num be r of ye a rs since 1989.
(a) Estim ate the a ve rage e nd-of-ye a r bonus for the ye a r 1992. (R ound your a nswe r to the ne a re st hundre d dollars.)
$
(b) Estim ate the a ve rage e nd-of-ye a r bonus for the ye a r 2007. (R ound your a nswe r to the ne a re st hundre d dollars.)
$
5.
Question DetailsTAMUBusCalc 2.6.005. [1686314]
C athy wants to have $22,000 in cash 5 ye ars from now in orde r to pa y for im prove m e nts tha t m ust be m ade to he r sm all office
at that tim e . If C a thy finds a sa vings a ccount that pays a nnua l inte re st of 2.8% com pounde d m onthly, the n how m uch should
she inve st right no w in the a ccount in orde r to ha ve the funds in 5 ye ars? (R ound yo ur answe r to the ne a re st ce nt.)
$
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Author: W hitfield, Jennifer ( jwhitfld@math.tamu.edu )
Last Saved: Jan 14, 2011 01:43 PM CST
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