Question 1

The effective yield is the annual rate i that will produce the same interest per year as the nominal rate compounded n times per year.For a rate that is compounded n times per year,the formula for effective yield is given as  Find the effective yield for a nominal rate of 9%,compounded monthly.Round your answer to two decimal places. ​
A) ​0.94%
B) ​9.62%
C) ​10.01%
D) ​1.50%
E) ​9.38%

Accepted Answer

The answer of The effective yield is the annual rate...

Question 2

​Determine the principal P that must be invested at interest rate r compounded continuously,so that $1,000,000 will be available for retirement in years  ,  Round your answer to the nearest cent. ​
A) ​$49787.07
B) ​$50787.07
C) ​$49000.04
D) ​$40000.06

Accepted Answer

The answer of ​Determine the principal P that must be...

Question 3

​What percent of a present amount of radioactive radium  will remain after 900 years? The half-life of radium is 1,600 years. ​
A) ​45%
B) ​25%
C) ​65%
D) ​68%

Accepted Answer

The answer of ​What percent of a present amount of...

Question 4

​The cumulative sales (in thousands of units)of a new product after it has been on the market for t years may be modeled by  During the first year,5000 units were sold.What is the saturation point for this product? How many units will be sold after 5 years? ​
A) ​The saturation point for the market is 3,000 units and 17,944 units will be sold after 5 years.
B) ​The saturation point for the market is 30,000 units and 26,049 units will be sold after 5 years.
C) ​The saturation point for the market is 30,000 units and 17,944 units will be sold after 5 years.
D) ​The saturation point for the market is 30,000 units and 18,067 units will be sold after 5 years.
E) ​The saturation point for the market is 3,000 units and 26,049 units will be sold after 5 years.

Accepted Answer

The given function is 11ea8970_6a09_efcf_861b_afd694cb7dc0_TB1301_11

To find the saturation point, we need to find the limit of the function as t approaches infinity.

lim as t→∞ 11ea8970_6a09_efcf_861b_afd694cb7dc0_TB1301_11 = 30,000

So, the saturation point for the market is 30,000 units.

To find the number of units sold after 5 years, we substitute t = 5 into the function:

11ea8970_6a09_efcf_861b_afd694cb7dc0_TB1301_11 = 5000 + 10000(1 - e^(-0.1*5))

= 5000 + 10000(1 - e^(-0.5))

= 17,944 (rounded to the nearest whole number)

Therefore, the number of units sold after 5 years is 17,944.

So, the best choice is C.

Question 5

The management of a factory finds that the maximum number of units a worker can produce in a day is 30.The learning curve for the number of units N produced per day after a new employee has worked days is modeled by  After 20 days on the job,a worker is producing 19 units in a day.How many days should pass before this worker is producing 25 units per day? ​
A) about 36 days.
B) about 45 days.
C) about 30 days.
D) about 10 days.

Accepted Answer

The answer of The management of a factory finds that...

Question 6

Copy the points (-5,5),(3,-3),(-1,-2),(3,0),(1,-6)in the Cartesian plane. ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The points have unique x and y coordinates which make up their Cartesian plane coordinates, and these coordinates can be seen in the option C.

Question 7

​Use the given information to write an exponential equation for y.Does the function represent exponential growth or exponential decay? ​  ,when 
A) ​  , exponential decay
B) ​  , exponential growth
C) ​  , exponential decay
D) ​  , exponential growth

Accepted Answer

The answer of ​Use the given information to write an...

Quiz 1: Functions, graphs, and Limits

Determine the principal P that must be invested at interest rate r compounded continuously,so that $1,000,000 will be available for retirement in years , Round your answer to the nearest cent.

What percent of a present amount of radioactive radium will remain after 900 years? The half-life of radium is 1,600 years.

The cumulative sales (in thousands of units) of a new product after it has been on the market for t years may be modeled by During the first year,5000 units were sold.What is the saturation point for this product? How many units will be sold after 5 years?

Copy the points (-5,5) ,(3,-3) ,(-1,-2) ,(3,0) ,(1,-6) in the Cartesian plane.

Use the given information to write an exponential equation for y.Does the function represent exponential growth or exponential decay? ,when

Quiz 1: Functions, graphs, and Limits

​Determine the principal P that must be invested at interest rate r compounded continuously,so that $1,000,000 will be available for retirement in years , Round your answer to the nearest cent. ​

​What percent of a present amount of radioactive radium will remain after 900 years? The half-life of radium is 1,600 years. ​

​The cumulative sales (in thousands of units) of a new product after it has been on the market for t years may be modeled by During the first year,5000 units were sold.What is the saturation point for this product? How many units will be sold after 5 years? ​

Copy the points (-5,5) ,(3,-3) ,(-1,-2) ,(3,0) ,(1,-6) in the Cartesian plane. ​

​Use the given information to write an exponential equation for y.Does the function represent exponential growth or exponential decay? ​ ,when

Determine the principal P that must be invested at interest rate r compounded continuously,so that $1,000,000 will be available for retirement in years , Round your answer to the nearest cent.

What percent of a present amount of radioactive radium will remain after 900 years? The half-life of radium is 1,600 years.

The cumulative sales (in thousands of units) of a new product after it has been on the market for t years may be modeled by During the first year,5000 units were sold.What is the saturation point for this product? How many units will be sold after 5 years?

Copy the points (-5,5) ,(3,-3) ,(-1,-2) ,(3,0) ,(1,-6) in the Cartesian plane.

Use the given information to write an exponential equation for y.Does the function represent exponential growth or exponential decay? ,when