Question 1

A school librarian estimates that 2% of the library's books are either lost or damaged each year and need to be pulled from the shelves. There are currently 250,000 books in circulation, and the library adds 6,000 books each year. Is the library currently gaining or losing books?

Accepted Answer

The answer of A school librarian estimates that 2% of...

Question 2

Twice a day, a patient takes a 25 mg tablet of a drug. At the end of a 12 hour period, 35% of the drug remains in the body. How many mg of the drug remain in the body right after taking the 6^th tablet? Round to 2 decimal places.

Accepted Answer

The answer of Twice a day, a patient takes a...

Question 3

A new drug to control high blood pressure is found to have a half life of 2 days. How many milligrams of the drug would need to be given daily to achieve a steady state of 600 mg? Round to the nearest whole number.

Accepted Answer

The answer of A new drug to control high blood...

Question 4

Find the market stabilization point if 5000 new units are manufactured each year and 15% of the total number of units in use fail each year.

Accepted Answer

The answer of Find the market stabilization point if 5000...

Question 5

A new drug to control high blood pressure is found to have a half life of 2 days. A patient takes two 50 milligram tablets of the drug at the same time each day. How many milligrams of the drug are in the body after the 8^th dose? Round to 2 decimal places.

Accepted Answer

The answer of A new drug to control high blood...

Question 6

A yearly deposit of $10,000 is made into an account that pays 4.7% interest per year, compounded annually. What is the balance right after the 8^th deposit? Round to the nearest cent.

Accepted Answer

The answer of A yearly deposit of $10,000 is made...

Question 7

An employee is offered two options: a fixed annual salary of $50,000, or $1 the first month, $2 the second month, $4 the next month, and so on (doubling each month). If the employee plans to work for two years, which option should he choose?

Accepted Answer

The salary that doubles each month will exceed the fixed annual salary of $50,000. Doubling each month for 24 months (2 years), the final month's salary alone would be $2^{23} (since the first month is $2^0 = 1), which is significantly larger than the annual fixed salary, not even counting the total of all the months leading up to the last month.

Question 8

A school librarian estimates that 2.5% of the library's books are either lost or damaged each year and need to be pulled from the shelves. There are currently 250,000 books in circulation, and the library adds 6000 books each year. What will the stabilization point be for the number of books in the library?

Accepted Answer

The answer of A school librarian estimates that 2.5% of...

Question 9

A scholarship fund is set up to award 5 scholarships of $6000 each per year. The fund earns 4% annual interest. How much money should be invested if the scholarships are to be continued forever? Round to the nearest dollar.

Accepted Answer

The answer of A scholarship fund is set up to...

Question 10

At the end of the year 2000, the total reserves of a natural resource was approximately 500,000 m³. During 2001, 4000 m³ of the resource was consumed, and consumption was predicted to increase 9% per year after that. Under these assumptions, how many years (after the year 2000) will the resource last? Round to 1 decimal place.

Accepted Answer

The answer of At the end of the year 2000,...

Question 11

Twice a day, a patient takes a 25 milligrams tablet of a drug. At the end of a 12 hour period, 25% of the drug remains in the body. How many milligrams of the drug remain in the body at the steady state level, right after taking a tablet?

Accepted Answer

The answer of Twice a day, a patient takes a...

Question 12

Every evening, a person receives an injection of a drug. At the end of a 24 hour period, 40% of the drug remains in the body. Complications arise if the level of the drug in the body exceeds 140 milligrams. How many milligrams of the drug can be safely injected each day? Round to the nearest whole number.

Accepted Answer

The answer of Every evening, a person receives an injection...

Question 13

An employee accepts a job with a starting annual salary of $37,000 and a promised cost-of-living increase of 2.5% per year. What are her total projected earnings over the next 7 years? Round to the nearest dollar.

Accepted Answer

The answer of An employee accepts a job with a...

Question 14

The government gives a tax rebate totaling 4 billion dollars. The total additional spending resulting from this tax rebate if everyone who receives the money spends 85% of it is _____ billion dollars. Round to the nearest billion dollars.

Accepted Answer

The answer of The government gives a tax rebate totaling...

Question 15

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 40% of the drug remains in the body. How many milligrams of the drug remain in the body right before the 5^th injection? Round to the nearest whole number.

Accepted Answer

The answer of Every evening, a person receives an 80...

Question 16

A farmer sells 10,000 pounds of potatoes per year. The current selling price is $0.20 per pound, but this price goes up 4% each year because of inflation. Predict the farmer's total earnings from potato sales over the next 10 years. Round to the nearest dollar.

Accepted Answer

The answer of A farmer sells 10,000 pounds of potatoes...

Question 17

A couple wants to establish an annuity for retirement that will make annual payments of $40,000 from an account that pays 5% interest per year, compounded annually. If the payments are to start right now, how much should be deposited if they plan to live indefinitely? Round to the nearest dollar.

Accepted Answer

The answer of A couple wants to establish an annuity...

Question 18

A new drug to control high blood pressure is found to have a half life of 2 days. A patient takes two 40 milligram tablets of the drug at the same time each day. How many milligrams of the drug are in the body at the steady state right before taking the tablets? Round to 2 decimal places.

Accepted Answer

The answer of A new drug to control high blood...

Question 19

Each morning at breakfast, a person consumes 10 micrograms of a toxin found in a pesticide, which leaves the body at a continuous rate of 5% per day. In the long run, how many micrograms of the toxin have accumulated in the body right after breakfast each day? Round to the nearest whole number.

Accepted Answer

The answer of Each morning at breakfast, a person consumes...

Question 20

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 45% of the drug remains in the body. How many milligrams of the drug remain in the body right before receiving the injection at the steady state? Round to the nearest whole number.

Accepted Answer

The answer of Every evening, a person receives an 80...

Quiz 10: Geometric Series

A school librarian estimates that 2% of the library's books are either lost or damaged each year and need to be pulled from the shelves. There are currently 250,000 books in circulation, and the library adds 6,000 books each year. Is the library currently gaining or losing books?

Twice a day, a patient takes a 25 mg tablet of a drug. At the end of a 12 hour period, 35% of the drug remains in the body. How many mg of the drug remain in the body right after taking the 6^th tablet? Round to 2 decimal places.

A new drug to control high blood pressure is found to have a half life of 2 days. How many milligrams of the drug would need to be given daily to achieve a steady state of 600 mg? Round to the nearest whole number.

Find the market stabilization point if 5000 new units are manufactured each year and 15% of the total number of units in use fail each year.

A new drug to control high blood pressure is found to have a half life of 2 days. A patient takes two 50 milligram tablets of the drug at the same time each day. How many milligrams of the drug are in the body after the 8^th dose? Round to 2 decimal places.

A yearly deposit of $10,000 is made into an account that pays 4.7% interest per year, compounded annually. What is the balance right after the 8^th deposit? Round to the nearest cent.

An employee is offered two options: a fixed annual salary of $50,000, or $1 the first month, $2 the second month, $4 the next month, and so on (doubling each month) . If the employee plans to work for two years, which option should he choose?

A scholarship fund is set up to award 5 scholarships of $6000 each per year. The fund earns 4% annual interest. How much money should be invested if the scholarships are to be continued forever? Round to the nearest dollar.

Twice a day, a patient takes a 25 milligrams tablet of a drug. At the end of a 12 hour period, 25% of the drug remains in the body. How many milligrams of the drug remain in the body at the steady state level, right after taking a tablet?

An employee accepts a job with a starting annual salary of $37,000 and a promised cost-of-living increase of 2.5% per year. What are her total projected earnings over the next 7 years? Round to the nearest dollar.

The government gives a tax rebate totaling 4 billion dollars. The total additional spending resulting from this tax rebate if everyone who receives the money spends 85% of it is _____ billion dollars. Round to the nearest billion dollars.

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 40% of the drug remains in the body. How many milligrams of the drug remain in the body right before the 5^th injection? Round to the nearest whole number.

A farmer sells 10,000 pounds of potatoes per year. The current selling price is $0.20 per pound, but this price goes up 4% each year because of inflation. Predict the farmer's total earnings from potato sales over the next 10 years. Round to the nearest dollar.

A couple wants to establish an annuity for retirement that will make annual payments of $40,000 from an account that pays 5% interest per year, compounded annually. If the payments are to start right now, how much should be deposited if they plan to live indefinitely? Round to the nearest dollar.

A new drug to control high blood pressure is found to have a half life of 2 days. A patient takes two 40 milligram tablets of the drug at the same time each day. How many milligrams of the drug are in the body at the steady state right before taking the tablets? Round to 2 decimal places.

Each morning at breakfast, a person consumes 10 micrograms of a toxin found in a pesticide, which leaves the body at a continuous rate of 5% per day. In the long run, how many micrograms of the toxin have accumulated in the body right after breakfast each day? Round to the nearest whole number.

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 45% of the drug remains in the body. How many milligrams of the drug remain in the body right before receiving the injection at the steady state? Round to the nearest whole number.

Quiz 10: Geometric Series

A school librarian estimates that 2% of the library's books are either lost or damaged each year and need to be pulled from the shelves. There are currently 250,000 books in circulation, and the library adds 6,000 books each year. Is the library currently gaining or losing books?

Twice a day, a patient takes a 25 mg tablet of a drug. At the end of a 12 hour period, 35% of the drug remains in the body. How many mg of the drug remain in the body right after taking the 6th tablet? Round to 2 decimal places.

A new drug to control high blood pressure is found to have a half life of 2 days. How many milligrams of the drug would need to be given daily to achieve a steady state of 600 mg? Round to the nearest whole number.

Find the market stabilization point if 5000 new units are manufactured each year and 15% of the total number of units in use fail each year.

A new drug to control high blood pressure is found to have a half life of 2 days. A patient takes two 50 milligram tablets of the drug at the same time each day. How many milligrams of the drug are in the body after the 8th dose? Round to 2 decimal places.

A yearly deposit of $10,000 is made into an account that pays 4.7% interest per year, compounded annually. What is the balance right after the 8th deposit? Round to the nearest cent.

An employee is offered two options: a fixed annual salary of $50,000, or $1 the first month, $2 the second month, $4 the next month, and so on (doubling each month) . If the employee plans to work for two years, which option should he choose?

A scholarship fund is set up to award 5 scholarships of $6000 each per year. The fund earns 4% annual interest. How much money should be invested if the scholarships are to be continued forever? Round to the nearest dollar.

Twice a day, a patient takes a 25 milligrams tablet of a drug. At the end of a 12 hour period, 25% of the drug remains in the body. How many milligrams of the drug remain in the body at the steady state level, right after taking a tablet?

An employee accepts a job with a starting annual salary of $37,000 and a promised cost-of-living increase of 2.5% per year. What are her total projected earnings over the next 7 years? Round to the nearest dollar.

The government gives a tax rebate totaling 4 billion dollars. The total additional spending resulting from this tax rebate if everyone who receives the money spends 85% of it is _____ billion dollars. Round to the nearest billion dollars.

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 40% of the drug remains in the body. How many milligrams of the drug remain in the body right before the 5th injection? Round to the nearest whole number.

A farmer sells 10,000 pounds of potatoes per year. The current selling price is $0.20 per pound, but this price goes up 4% each year because of inflation. Predict the farmer's total earnings from potato sales over the next 10 years. Round to the nearest dollar.

A couple wants to establish an annuity for retirement that will make annual payments of $40,000 from an account that pays 5% interest per year, compounded annually. If the payments are to start right now, how much should be deposited if they plan to live indefinitely? Round to the nearest dollar.

A new drug to control high blood pressure is found to have a half life of 2 days. A patient takes two 40 milligram tablets of the drug at the same time each day. How many milligrams of the drug are in the body at the steady state right before taking the tablets? Round to 2 decimal places.

Each morning at breakfast, a person consumes 10 micrograms of a toxin found in a pesticide, which leaves the body at a continuous rate of 5% per day. In the long run, how many micrograms of the toxin have accumulated in the body right after breakfast each day? Round to the nearest whole number.

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 45% of the drug remains in the body. How many milligrams of the drug remain in the body right before receiving the injection at the steady state? Round to the nearest whole number.

Twice a day, a patient takes a 25 mg tablet of a drug. At the end of a 12 hour period, 35% of the drug remains in the body. How many mg of the drug remain in the body right after taking the 6^th tablet? Round to 2 decimal places.

A new drug to control high blood pressure is found to have a half life of 2 days. A patient takes two 50 milligram tablets of the drug at the same time each day. How many milligrams of the drug are in the body after the 8^th dose? Round to 2 decimal places.

A yearly deposit of $10,000 is made into an account that pays 4.7% interest per year, compounded annually. What is the balance right after the 8^th deposit? Round to the nearest cent.

Every evening, a person receives an 80 milligram injection of a drug. At the end of a 24 hour period, 40% of the drug remains in the body. How many milligrams of the drug remain in the body right before the 5^th injection? Round to the nearest whole number.