[Solved]>>> Assignment 11

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Assignment 11

Started: Nov 30 at 5:54pm

Quiz Instructions

For Assignment 11 you will input your answers into this Canvas assignment.

There are two extra credit questions at the end of the assignment. 

Top of Form

Problems 1-6

Suppose the population of a small country is 875,000 and growing at an annual rate of 3%.

 

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Question 12 pts

Identify the rate as either a growth rate or decay rate.

Growth rate = 3%
Decay rate = 3%

 

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Question 22 pts

What is the growth/decay factor?

Decay Factor = 3
Decay Factor = 97

 

Growth Factor = 1.03
Growth Factor = 3

 

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Question 32 pts

Select a general equation using exponents.

y=875,000(1.03)n
y=875,000(1)n

 

y=875,000(3)n
y=875,000(0.97)n

 

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Question 44 pts

What will the population be in 10 years?

(Remember: population is rounded to nearest whole number)

 

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Question 54 pts

What will the population be in 25 years?

(Remember: population is rounded to nearest whole number)

 

.

Question 64 pts

How many years will it take for the population to reach 2 million? Remember “trial and error.”

 

.

Problems 7-12

Suppose that the population of an endangered species is 13,000 and it isdecreasing at an annual rate of 2.5%.

 

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Question 72 pts

Identify the rate as either a growth rate or decay rate.

Growth rate = 2.5%
Decay rate = 2.5%

 

.

 

 

Question 82 pts

What is the growth/decay factor?

Growth Factor = 1.025
Growth Factor = 2.5

 

Decay Factor = 2.5
Decay Factor = 0.975

 

.

Question 92 pts

Select the general equation.

y=13,000(1)n
y=13,000(0.975)n

 

y=13,000(0.025)n
y=13,000(1.025)n

 

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Question 104 pts

What will the population be in 10 years?

(Remember: population is rounded to nearest whole number)

 

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Question 114 pts

What will the population be in 25 years?

(Remember: population is rounded to nearest whole number)

 

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Question 124 pts

How many years will it take for the population to drop to 5,000?

 

 

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Problems 13-17

You have one bacterium in a test tube that doubles every minute.

 

Question 132 pts

Identify the rate as either a growth rate or decay rate.

Growth rate = 100%
Decay rate = 100%

 

Growth rate = 1
Decay rate = 1

 

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Question 142 pts

What is the growth/decay factor?

Decay Factor = 200
Decay Factor = 2

 

Growth Factor = 200
Growth Factor = 2

 

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Question 152 pts

Select the general equation.

y=1(100)n
y=1(200)n

 

y=1(2)n
y=1(1)n

 

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Question 164 pts

How many bacteria will you have in 1 hour? Write your answer in scientific notation. When writing exponents use the “^” symbol.

Example: 1,230,000,000,000,000 is written as 1.23 x 10^15

WRITE EXPLANATION

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Question 174 pts

How many bacteria will you have in 1 day?   Note: Your calculator may give you an error if the number is too large.  Leave your answer as a number with an exponent.  When writing exponents use the “^” symbol.    

WRITE EXPLANATION

 

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Problems 18-21

Suppose the time it takes for the earth to make one daily rotation increases 5% per billion years.

 

 

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Question 182 pts

Identify the rate as either a growth rate or decay rate.

Decay Rate = 1% per billion years
Growth rate = 5% per billion years

 

Growth rate = 1% per billion years
Decay rate = 5% per billion years

 

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Question 192 pts

What is the growth/decay factor?

Growth Factor = 1.05
Decay Factor = 5

 

Decay Factor = 1.05
Growth Factor = 5

 

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Question 202 pts

Write a general equation.

HTML EditorKeyboard Shortcuts

 

12pt

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0 words

 

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Question 214 pts

If the length of an hour is assumed constant, how many hours long will a day be just before the sun novas (exploding just before its death), destroying Earth, 4 billion years in the future? Hint: How many hours are there in a day right now?  You will be increasing this amount.

 

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Problems 22-25

You deposit $9,500 into a bank account and leave it there for 8 years at an interest rate of 2.1%.

Everything you need for compounding more than once per year is in the lecture slides and readings. Just be careful when substituting into the formula. Do not to round too soon or too much! 

 

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Question 224 pts

How much will you have at the end of 8 years if the interest is compounded annually?

(Remember: money is rounded 2 decimal places)

 

 

 

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Question 234 pts

How much will you have at the end of 8 years if the interest is compounded semi-annually?

(Remember: money is rounded 2 decimal places)

 

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Question 244 pts

How much will you have at the end of 8 years if the interest is compounded quarterly?

(Remember: money is rounded 2 decimal places)

 

 

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Question 254 pts

How much will you have at the end of 8 years if the interest is compounded monthly?

(Remember: money is rounded 2 decimal places)

 

 

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Problems 26 and 27

Write the following number in scientific notation. When writing exponents use the “^” symbol.   Example: 1,230,000,000,000,000 is written as 1.23 x 10^15

 

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Question 262 pts

The average distance from Mars to Earth is about 140 million miles.

 

 

 

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Question 272 pts

The time it takes for light to travel a half mile is 0.00000269 seconds.

 

 

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Problems 28 and 29

Write the following number in expanded form (not in scientific notation).

 

 

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Question 282 pts

7.85×105

 

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Question 292 pts

9×10−4

 

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Problems 30 and 31

Do the following percent problems the SHORT WAY, i.e. in one step.  

 

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Question 304 pts

Increase $2,600 by 8.5%.

 

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Question 314 pts

Decrease $725 by 9%

 

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Problems 32 – 35

Simplify. 

When writing exponents use the “^” symbol (y^8) or, if you want, you can use the “insert math equation” button to type in your answer. 

 

 

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Question 322 pts

x5×x3

 

 

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Question 332 pts

b13×b−11

 

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Question 342 pts

y25y15

 

 

 

 

 

 

 

 

 

 

 

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Question 352 pts

Hint: Remember to do the numerator first. 

m7×m−3m3

 

 

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Question 360 pts

EXTRA CREDIT  QUESTION – If correct, your grader will add 2 points to your final grade on this assignment. 

 

Go back to question 17. Take the answer you got in exponential form and write the answer in correct scientific notation.

(If you understand how to manipulate exponents, you can break down your answer into a number with an exponent that will work in your calculator.)

You MUST show your work for this problem to receive the bonus points.

 

WRITE EXPLANATION

 

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Question 370 pts

EXTRA CREDIT – If correct, your grader will add 2 points to your final grade on this assignment. 

For the past few months, the city of New Orleans has been plagued by a dangerously high level of unusual coliform bacteria in the drinking water. At the temperature of the water in their main reservoir, a coliform population is known to grow by 6.2% per day!!!

Assume the following:

  • Only 12 bacteria were initially introduced into the reservoir to start this outbreak.
  • The infected reservoir contains 2.3 million gallons of water. (Be careful of units!!)
  • Measurements show a bacteria count of 20 coliforms per quart.

 

How long ago were the original 12 coliforms introduced into the water?

(This problem is not more difficult than any of the others.  The difficulty is only in the conversions.)

You MUST show your work for this problem to receive the bonus points.

WRITE EXPLANATION

 

Category:

Description

Assignment 11

Started: Nov 30 at 5:54pm

Quiz Instructions

For Assignment 11 you will input your answers into this Canvas assignment.

There are two extra credit questions at the end of the assignment. 

Top of Form

Problems 1-6

Suppose the population of a small country is 875,000 and growing at an annual rate of 3%.

 

.

Question 12 pts

Identify the rate as either a growth rate or decay rate.

Growth rate = 3%
Decay rate = 3%

 

.

Question 22 pts

What is the growth/decay factor?

Decay Factor = 3
Decay Factor = 97

 

Growth Factor = 1.03
Growth Factor = 3

 

.

Question 32 pts

Select a general equation using exponents.

y=875,000(1.03)n
y=875,000(1)n

 

y=875,000(3)n
y=875,000(0.97)n

 

.

Question 44 pts

What will the population be in 10 years?

(Remember: population is rounded to nearest whole number)

 

.

Question 54 pts

What will the population be in 25 years?

(Remember: population is rounded to nearest whole number)

 

.

Question 64 pts

How many years will it take for the population to reach 2 million? Remember “trial and error.”

 

.

Problems 7-12

Suppose that the population of an endangered species is 13,000 and it isdecreasing at an annual rate of 2.5%.

 

.

Question 72 pts

Identify the rate as either a growth rate or decay rate.

Growth rate = 2.5%
Decay rate = 2.5%

 

.

 

 

Question 82 pts

What is the growth/decay factor?

Growth Factor = 1.025
Growth Factor = 2.5

 

Decay Factor = 2.5
Decay Factor = 0.975

 

.

Question 92 pts

Select the general equation.

y=13,000(1)n
y=13,000(0.975)n

 

y=13,000(0.025)n
y=13,000(1.025)n

 

.

Question 104 pts

What will the population be in 10 years?

(Remember: population is rounded to nearest whole number)

 

.

Question 114 pts

What will the population be in 25 years?

(Remember: population is rounded to nearest whole number)