Project #31476 - math alg

Lesson 13 140

Be sure to show all of your work.

Solve these exponential and logarithmic expressions using a calculator.

Convert 53 =125 to log form  ________________________________________________________________________

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 Convert 44 =256 to log form  ________________________________________________________________________

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Simplify log6(6)   ________________________________________________________________________

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Simplify log3(1)

________________________________________________________________________

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 Simplify log4(-16) ________________________________________________________________________

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Now, use the equations below to graph your own trigonometric functions and

indicate the amplitude, period, phase shift, and vertical shift.

GRAPH PAPER SUPPLEMENT IS NEEDED FOR THIS ASSESSMENT.

y=tan(x-π) +1  

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y=tan (x+3)+2  

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Your local bank is offering three promotions: You can make a minimum

investment of $50 and earn an annual interest rate of 2% for five years, a minimum

investment of $100 and earn a quarterly interest rate of 0.5% for five years, or the

bank will give you $25 for opening an account. Which offer will make the most

money for you? Show evidence for your choice. ________________________________________________________________________

________________________________________________________________________

________________________________________________________________________

 

In 2009, company is hit by the recession and has to cut employee hourly

wages by 4% every year for three years. If an employee’s hourly wage was $11.67

in 2009, what will it be in 2012? ________________________________________________________________________

________________________________________________________________________

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Give the growth or decay factor for the following rates:

13. 39% decay

 ________________________________________________________________________

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14. 200% growth ________________________________________________________________________

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 A population of a town in thousands after t years is 50(1.035)t. What is the town’s

annual growth rate? Monthly growth rate? Growth rate after a decade?

________________________________________________________________________

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Create an exponential equation for the following scenarios:

The tire efficiency of a car decreases by 6% every 10 miles over 50mph.

________________________________________________________________________

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The weight gain of a 10-lb baby increases by 4.5% every month.

________________________________________________________________________

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Now, solve these literal equations for the variable given.

Solve the equation V=πr2H for H

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Solve the equation V=πr2H for R

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Solve the equation A=½ (B1+B2)H for H

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Please complete the following cumulative assessment. Ask you instructor if you have any

questions during the test. Be sure to show all of your work.

Let’s say you have a deck of cards, what is the probability that the following will

occur?

You draw a Queen: ________________________________________________________________________

 

You draw a red card: ________________________________________________________________________

 

Based on the Standard American English alphabet, what is the probability that of

the following would occur by choosing a letter at random?

You choose a letter that is not H: ________________________________________________________________________

 

You choose letters that will make up the word LOVE: ________________________________________________________________________

 

Based on a six-sided dice, what is the probability that of the following would occur

by rolling it?

You roll an even number: ________________________________________________________________________

 

You roll every number other than 3: ________________________________________________________________________

 

 Let’s say a coin is tossed 4 times. Create a sample set that demonstrates the 16

different results. You might find it helpful to create a tree diagram to find the

possible results: ________________________________________________________________________

 

Based on the information from the sample space above in question #7, answer

the following questions.

What is the probability that the four tosses will result in…

 Only two tails?

 ________________________________________________________________________

 

 No heads?

 ________________________________________________________________________

 

Two heads and two tails? ________________________________________________________________________

 

With more tails than heads? ________________________________________________________________________

 

Determine if the following samples are or are not mutually exclusive. If they are

mutually exclusive write “mutually exclusive” if they aren’t mutually exclusive, then

write “not mutually exclusive.”

 Green; the grass: ________________________________________________________________________

 

 Blue feathers; a person: ________________________________________________________________________

 

 An herb; a plant: ________________________________________________________________________

 

 A bird; an insect: ________________________________________________________________________

 

 A car; a road:

________________________________________________________________________

 

A circle is divided into 4 parts: A, B, C, D

 

If the pointer is spun repeatedly, then how many different results could occur

from 5 spins?

 ________________________________________________________________________

 

If the pointer is spun repeatedly, then how many different results could occur

from 15 spins?

________________________________________________________________________

 

In how many different ways can each of the letters in the following words be

arranged? Show your work and solutions.

 LEARN

 ________________________________________________________________________

 

 LEARNS

 ________________________________________________________________________

 

Find the number of permutations of the digits or letters below:

STEEPER:

 ________________________________________________________________________

 

456456:

________________________________________________________________________

 

929292

 ________________________________________________________________________

 

What is the probability that a random arrangement of 8 different numbers on a letter

block will have them all in numerical order? ________________________________________________________________________

 

A hat, 4 coats, and a pair of boots are all arranged for sale. What is the probability that

a random arrangement would have the hat first the pair of boots last and the four

different coats in between? ________________________________________________________________________

 

 

Subject Mathematics
Due By (Pacific Time) 05/24/2014 12:00 am
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