Assignment 11

578.40

Do the following percent problems the SHORT WAY, i.e. in one step. Decrease $600 by 3.6%

1605

Do the following percent problems the SHORT WAY, i.e. in one step. Increase $1500 by 7%

2^1440

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 wirting exponents use the "^" symbol.

y^1 = y

Simplify. When writing exponents use the "^" symbol. Example: y^8 Or if you want, you can use the "insert math equation" button to type in your answer Hint: Remember to Tio the numerator first. (y^7 x y^-2) / y^4

a^3

Simplify. When writing exponents use the "^" symbol. Example: y^8 Or if you want, you can use the "insert math equation" button to type in your answer a^-3 x a^6

b^8

Simplify. When writing exponents use the "^" symbol. Example: y^8 Or if you want, you can use the "insert math equation" button to type in your answer b^10 / b^2

b^7

Simplify. When writing exponents use the "^" symbol. Example: y^8 Or if you want, you can use the "insert math equation" button to type in your answer b^2 x b^5

Y = 15,000 (0.965) ^ n

Suppose that the population of an endangered species is 15,000 and it is decreasing at an annual rate of 3.5%. General equation?

45

Suppose that the population of an endangered species is 15,000 and it is decreasing at an annual rate of 3.5%. How long will it take for the population to reach 3,000?

Decay rate = 3.5%

Suppose that the population of an endangered species is 15,000 and it is decreasing at an annual rate of 3.5%. Identify the rate as either a growth rate or decay rate.

Decay factor = 0.965

Suppose that the population of an endangered species is 15,000 and it is decreasing at an annual rate of 3.5%. What is the growth / decay factor?

10505

Suppose that the population of an endangered species is 15,000 and it is decreasing at an annual rate of 3.5%. What will the population be in 10 years?

6156

Suppose that the population of an endangered species is 15,000 and it is decreasing at an annual rate of 3.5%. What will the population be in 25 years?

29

Suppose the population of a small country is 950,000 and growing at an annual rate of 4%. How long will it take for the population to reach 3 milion? ?Remeber trial and error"

Growth rate = 4%

Suppose the population of a small country is 950,000 and growing at an annual rate of 4%. Identify the rate as either a growth rate or decay rate.

Growth Factor = 1.04

Suppose the population of a small country is 950,000 and growing at an annual rate of 4%. What is the growth/decay factor?

1406233

Suppose the population of a small country is 950,000 and growing at an annual rate of 4%. What will the population be in 10 years?

2532545

Suppose the population of a small country is 950,000 and growing at an annual rate of 4%. What will the population be in 25 years?

y = 950,000(1.04)^n

Suppose the population of a small country is 950,000 and growing at an annual rate of 4%. general equation using exponents.

33

Suppose the time it takes for the earth to make one daily rotation increases 5% per billion years. If the length of an hour is assumed constant, how many hours long will a day be just before the sun novas (expoliing just before its death), destroying Earth, 5 billion years in the future? Hint: How many hours are there in a day right now? You will be increasing this amount.

Y = 1,000,000,000 (1.05) ^ n

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

Growth rate = 5%

Suppose the time it takes for the earth to make one daily rotation increases 5% per billion years. Identify the rate as either a growth rate or decay rate.

Growth factor = 1.05

Suppose the time it takes for the earth to make one daily rotation increases 5% per billion years. What is the growth / decay factor?

0.00003

Write the following number in expanded form (not in scientific notation). 3 x10^-5

13600000.

Write the following number in expanded form (not in scientific notation). 1.36 x 10^7

2.1 x 10^8

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 The mean distance from the Sun to Mars is about two hundred ten million miles.

5.38 x 10 ^ -6

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 The time it takes for light to travel 1 mile is 0.00000538 seconds.

9306.26

You deposit $7,500 into a bank account and leave it there for 9 years at an interest rate of 2.4%. Everything you need for compounding more than once per year is in the lecture slides and readings. Just be careful in substituting into the formula. Be careful not to round too soon or too much! *** How much will you have at the end of 9 years if the interest is compounded monthly?

9302.26

You deposit $7,500 into a bank account and leave it there for 9 years at an interest rate of 2.4%. Everything you need for compounding more than once per year is in the lecture slides and readings. Just be careful in substituting into the formula. Be careful not to round too soon or too much! *** How much will you have at the end of 9 years if the interest is compounded quarterly?

9296.31

You deposit $7,500 into a bank account and leave it there for 9 years at an interest rate of 2.4%. Everything you need for compounding more than once per year is in the lecture slides and readings. Just be careful in substituting into the formula. Be careful not to round too soon or too much! *** How much will you have at the end of 9 years if the interest is compounded semi-annually?

9284.55

You deposit $7,500 into a bank account and leave it there for 9 years at an interest rate of 2.4%. Everything you need for compounding more than once per year is in the lecture slides and readings. Just be careful in substituting into the formula. Be careful not to round too soon or too much! ***How much will you have at the end of 9 years if the interest is compounded annually?

Y = 1 (2) ^n

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

1.152921505 x 10 ^ 18

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

Growth rate = 100%

You have one bacterium in a test tube that doubles every minute. Identify the rate as either a growth rate or decay rate.

Growth factor = 2

You have one bacterium in a test tube that doubles every minute. What is the growth / decay factor