Math 130 Final Exam Name:________________________
(100 pts)
Show ALL Work similar to work done in class. Open Notes. No Apps.
Showwork
moles/liter
(4 pts each)
#1&2 Use: 𝒑𝒑𝒑𝒑= −𝑳𝑳𝑳𝑳𝑳𝑳[𝒑𝒑 ]
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1. Find the 𝒑𝒑𝒑𝒑 of a solution with [𝒑𝒑+] = 𝟑𝟑. 𝟐𝟐 × 𝟏𝟏𝟏𝟏−𝟑𝟑
(answer in the tenths place)
𝒑𝒑𝒑𝒑 =
Is this solution Acidic, Alkaline or Neutral?
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2. Find the 𝒑𝒑𝒑𝒑 of a solution with [𝒑𝒑 ] = 𝟕𝟕. 𝟑𝟑 × 𝟏𝟏𝟏𝟏−𝟗𝟗 moles/liter
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𝒑𝒑𝒑𝒑 =
(answer in the tenths place)
Is this solution Acidic, Alkaline or Neutral?
(5 pts)
3. Solve for x . Approximate to the hundredths place: Show all work 𝟐𝟐𝒙𝒙 = 𝟏𝟏𝟕𝟕𝟏𝟏, 𝟏𝟏𝟏𝟏𝟏𝟏
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(6 pts)
4. Solve for x . Approximate to the hundredths place: Show all work 𝟏𝟏. 𝟏𝟏 (𝟑𝟑)𝒙𝒙−𝟐𝟐 = 𝟐𝟐𝟏𝟏𝟏𝟏
(7 pts)
5. Solveforx: 𝑳𝑳𝑳𝑳𝑳𝑳𝟏𝟏𝟏𝟏 𝒙𝒙 + 𝑳𝑳𝑳𝑳𝑳𝑳𝟏𝟏𝟏𝟏 (𝟔𝟔𝒙𝒙−𝟕𝟕) = 𝟏𝟏 Showallwork
Condense 1st
Check Answers
(7pts) 6. Solveforx: 𝑳𝑳𝑳𝑳𝑳𝑳𝟐𝟐 𝟑𝟑𝒙𝒙 − 𝑳𝑳𝑳𝑳𝑳𝑳𝟐𝟐 (𝒙𝒙−𝟏𝟏) = 𝟑𝟑 Show all work
Condense 1st
(4 pts each) 𝟏𝟏
#7 & 8. Use: 𝒚𝒚 = 𝒚𝒚 𝒆𝒆𝒌𝒌𝒌𝒌
For bacteria found in a particular food, the initial amount of bacteria was a count of about 250 million, and the growth rate was about 8%, Answer the following questions:
Where 𝒌𝒌 is measured in days and 𝒚𝒚 is measured in millions of bacteria Show all Work
7. Find the number of bacteria after 4 days (round to nearest “whole bacteria”):
8. Findthenumberofbacteriaafter1week(7days)(roundtonearest“wholebacteria”):
9. Use: 𝑨𝑨= 𝑨𝑨𝟏𝟏𝒆𝒆𝒌𝒌𝒌𝒌 Showallwork
Carbon-14 Dating: An old leather shoe is found carefully preserved in a jar in cave. The shoe contains about 51% of the normal amount of carbon-14. Estimate
(7 pts)
the age of the leather shoe.
− 0.01216 %
Round to the nearest whole year
The exponential decay rate of C-14 is
(4 pts each)
#10&11. Use: 𝑨𝑨= 𝑷𝑷𝒆𝒆𝒓𝒓𝒌𝒌 ShowWork
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An investment earning 4% interest, is compounded continuously.
10. Find the “Doubling” Time (years) for this investment: Approx. to the tenths place (give answer as years)
11. Find the “Tripling” Time (years) for this investment: Approx. to the tenths place (give answer as years)
12. Graph the function label the Asymptote: 𝒚𝒚 = 𝟑𝟑𝒙𝒙 + 𝟏𝟏 Find at least “6 points”, Choose zero, positives and negatives for “x” Show Work:
(7 pts)
13. a) Graph the function label the asymptote: 𝒚𝒚 = 𝑳𝑳𝑳𝑳𝑳𝑳𝟒𝟒 𝒙𝒙 1st Change to Exponential Form:
Find at least “6 points”, Choose zero, positives and negatives for “y”
Show Work:
(7 pts)
(10 pts)
14. Solve the Linear System.
(Use Substitution OR Addition-Elimination Method)
Show all work
5𝑥𝑥+7𝑦𝑦 = 6 10𝑥𝑥−3𝑦𝑦 = 46
Give the Answer as an ordered pair:
(10 pts)
15. Solve the Non-Linear System.
Show all work
(Use Substitution OR Addition-Elimination Method)
𝑥𝑥2 − 2𝑦𝑦 = 0 𝑦𝑦 = 3𝑥𝑥+8
Give the Answer as ordered pairs:
(10 pts)
16. TheSupplyanddemandequationsforacertaincommodityaregiven:
𝒔𝒔𝒔𝒔𝒑𝒑𝒑𝒑𝒔𝒔𝒚𝒚: 𝒑𝒑= 𝟏𝟏.𝟒𝟒𝒒𝒒 and 𝒅𝒅𝒆𝒆𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅: 𝒑𝒑= −𝟏𝟏.𝟐𝟐𝒒𝒒+𝟗𝟗𝟏𝟏𝟏𝟏 Where, 𝒒𝒒 = 𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑦𝑦 𝑑𝑑𝑑𝑑𝑑𝑑𝑞𝑞𝑞𝑞𝑑𝑑𝑑𝑑𝑑𝑑 (𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑢𝑢) & 𝒑𝒑 = 𝑝𝑝𝑝𝑝𝑞𝑞𝑝𝑝𝑑𝑑 𝑝𝑝𝑑𝑑𝑝𝑝 𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞 (𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑞𝑞𝑝𝑝𝑢𝑢)
a) Find the ‘equilibrium’ demand: 𝒒𝒒 b) Find the ‘equilibrium’ price: 𝒑𝒑
Show ALL Work. Write answers with correct units:
