Advanced Algebra Unit 3 Logarithms and Exponential Test 2 Review
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Advanced Algebra Unit 3 Logarithms and Exponential Test 2 Review The grade on this test will replace your grade on Unit 3 Test 1 if such a replacement benefits you.
description
Advanced Algebra Unit 3 Logarithms and Exponential Test 2 Review . The grade on this test will replace your grade on Unit 3 Test 1 if such a replacement benefits you. . Test 2 Content. From Quiz 3. In particular #5, 7, 10, 12, 13. 1. Identify the vertical asymptote for the graph of . - PowerPoint PPT Presentation
Transcript of Advanced Algebra Unit 3 Logarithms and Exponential Test 2 Review
Advanced Algebra Unit 3 Logarithms and Exponential Test 2 Review
The grade on this test will replace your grade on Unit 3 Test 1 if such a
replacement benefits you.
Test 2 Content
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 220
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# wrong
From Quiz 3
• In particular • #5, 7, 10, 12, 13
1. Identify the vertical asymptote for the graph of
2. If you deposit $25,000 into an account that pays 3.5% annual interest compounded continuously, what is the balance after twenty years?
rtA Pe.035(20)25000A e
$50343.82A
1ntrA P
n
3. If you deposit $25,000 into an account that pays 3.5% annual interest compounded monthly, what is the balance after twenty years?
1ntrA P
n
rtA Pe
12(20).03525000 112
A
$50292.55A $50343.82ASo after 20 years about $50 difference.
4. Identify the x-intercept for the graph of
3( ) log ( 2) 4f x x
30 log ( 2) 4x
34 log ( 2)x 43 ( 2)x 81 2x 79 x
(79, 0)
Domain and Range
5. What is the range?
6. What is the domain?
7. Suppose you invest $6000 in an account that pays 4% annual interest. What will the balance be after five years, if the interest is compounded quarterly ?
4(5).046000 14
A
1ntrA P
n
206000 1.01A $7321.14
8. In 2000, the census reported 85,000 citizens of Turboville. However, due to the economy, the residents of Turboville have been leaving at a steady rate of 9% a year. If this rate remains constant, what function would model the population of Turboville, y ,after t number of years since 2000?
1ntrA P
n
1( ).0985000 11
t
A
( )85000 0.91 tA
9. How many years would it take for $2000 to grow to $5000 if the interest rate were 4% compounded monthly?
1ntrA P
n
12.045000 2000 1
12
t
125000 2000 1.0033332000 2000
t
122.5 1.003333 t
122.5 1.003333 t
1.003333log 2.5 12t
1.003333log 2.512
t
22.945 yearst
10. How many years would it take for $2000 to grow to $5000 if the interest rate were 3.5% compounded continuously?
rtA Pe.0355000 2000 te
.0355000 20002000 2000
te
.0352.5 te
.0352.5 te
ln2.5 .035tln 2.5.035
t
26.18 yearst
