1. Solve
a. e^.05t = 1600
0.05t = ln(1600)
0.05t = 7.378
t = 7.378/.05
t = 147.56

b. ln(4x)=3
4x = e^3
x = e^3/4
x = 5.02

c. log2(8 – 6x) = 5
8-6x = 2^5
8-6x = 32
6x = 8-32
x = -24/6
x = -4

d. 4 + 5e-x = 0
5e^(-x) = -4
e^(-x) = -4/5
no solution, e cannot have a negative answer

2. Describe the transformations on the following graph of f (x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2 or reflected about the x-axis are descriptions.

a. g(x) = log( x + 5)
horizontal left shift 5
Vertical asymptote x = -5
x-intercept: (-4, 0)

b. g(x)=log(-x)
over the x-axis
vertical asymptote x=0
no x-intercept

3. Students in an English class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, after t months was found to be given by S(t) = 68 - 20 log (t + 1), t ≥ 0.

a. What was the average score when they initially took the test, t = 0? Round your answer to a whole percent, if necessary. S(0)=68-20xlog(0+1) =
68-20x0
= 68%

b. What was the average score after 4 months? after 24 months? Round your answers to two decimal places.
-S(4) = 68-20xlog(4+1)
68-20x0.699
68-13.98
=54.02
-S(24) = 68-20xlog(24+1) = 40.04
68-20x1.398
68-27.96
=40.04

c. After what time t was the average score 50%?
Round your answers to two decimal places.
50 = 68 - 20 log (t + 1)
20log(t+1) = 68-50
log(t+1) = 18/20
t+1 = 10^(18/20) = 7.9433
t = 7.9433-1 = 6.94

4. The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by A=P(1+r/n)^nt A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimal places on...

...NAME : MATH133 Unit5 Individual Project – A
Describe the transformations on the following graph of f ( x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2 or reflected about the x-axis are descriptions. 1)
10 9 8 7 6 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
Y
X 1 2 3 4 5 6 7 8 9 10...

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Uned/Unit 520
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Defnyddiwch y ffurflen hon I gyfnodi manylion gweithgareddau (Ticiwch y bwlch priodol)
Use this form to record details of activities (tick appropriate box)
Arsyllwyd gan eich asesydd
Observed by your assessor
Gwelwyd gan arbenigwr tyst
Seen by an expert witness
Adroddiad huan adlewyrchol
Self reflective account
CD –Canlyniad Dysgu
LO –...

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00Figure 4. Materials
2750185165036500-575310165036500inclined plane with pulley and weights.
The first part of the experiment is “Determination of the Coefficient of Friction” as shown in Figure 5. The first procedure is to position the wooden plane horizontally then measure the weights of the block and pan using the platform balance. Next is to tie one end of the string to the block’s hook and the other end to the pan...

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...Unit5
Written Test
I. Express in one word: 1) to discuss matters in order to come to an agreement; 2) to go beyond what is allowed or necessary; 3) keeping of law, custom, duty; 4) to prevent smb. from doing smth, to bring to nothing; 5) to persuade a person to do or take smth. by using unfair methods, tricks.
II. Give E. equivalents to: 1) взаимодействие человека и машины; 2) глубокие перемены; 3) устранять, исключать, уничтожать; 4) уроки труда;...

...committed to utilities and other expenses?
$504.00 would be committed to utilities and other expenses.
4. If Joe’s net income after taxes each month is equal to 74% of his gross wages, how much is his net income?
$1776 a month would be Joe’s net income.
5. Joe’s total monthly payment to the bank will consist of the mortgage interest plus principal amount plus monthly payments for insurance and taxes. What will the total monthly payments be for a 15-year and a 30-year loan...

...Unit 405 Applying Theories and Principles for Planning and Enabling inclusive Learning and Teaching Level 5 DTLLS / Diploma in Teaching in the Lifelong Learning Sector From JEZI - UK Date 27th October 2014 Unit 405 Part A Define what is meant by Theory to me it is an idea of how something works. It is a way of explaining to others the concept of the how and why of something should be done logically. The Theories of Learning according to Reece...

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