Question 1

Of all the topics we have covered in unit 4, what has stood out to you as something most relevant to your life? Explain why.

Accepted Answer

One of the topics that has stood out to me as most relevant to my life in unit 4 is time management. Learning about different strategies and techniques for managing my time effectively has been incredibly helpful. As a busy student with multiple responsibilities, being able to prioritize tasks and allocate my time efficiently is crucial for my success. The skills and knowledge I have gained from this topic have already made a noticeable difference in my daily life, and I can see how they will continue to benefit me in the future. Overall, time management is a practical and essential skill that I am grateful to have learned about in this unit.

Question 2

The average number of words that can be printed on a standard size piece of paper varies inversely with the font size.
a. If 320 words can be printed with a 10-pt size in a particular font, write an equation that relates the average number of words that can be printed to the font size.
b. How many words can be printed with a 12-pt size in this font?
c. If your teacher tells you to use a 12-pt font, and you decide to try to use a 13-pt font instead, what would you expect to happen in terms of the number of words on the page? (And trust me, your teacher WILL notice that you used that larger font and wider margins. You don't want them in a bad mood when they grade your paper!)

Accepted Answer

The answer of The average number of words that can...

Question 3

b  is inversely proportional to  c . If  b  is 2 when  c  is 10 , find  b  when  c=5 .

Accepted Answer

A)   1
B)    b=200 
C)    b=20 
D)    b=4  D

Question 4

According to the National Association of Realtors, the mean sale price for existing homes in the United States in 2011 was $214,300. Assume that sale prices are normally distributed with a standard deviation of $41,000.  
Find the percentage of existing homes in 2011 that:
b. sold for between $132,300 and $296,300
c. sold for more than $255,300

Accepted Answer

The answer of According to the National Association of Realtors,...

Question 5

Find the vertex of the parabola.

Accepted Answer

The answer of Find the vertex of the parabola. ...

Question 6

A car travels west 8 miles and then north 15 miles. How far is the car from its starting point?

Accepted Answer

A)  The car is 17 miles from its starting point.
B)  The car is 144.5 miles from its starting point.
C)  The car is 4.8 miles from its starting point.
D)  The car is 23 miles from its starting point.

Question 7

Simplify.

Accepted Answer

The answer of Simplify. ...

Question 8

Solve the equation by using the quadratic formula. $$3 x ^ { 2 } + 15 x - 72 = 0$$

Accepted Answer

The answer of Solve the equation by using the quadratic...

Question 9

In 2000, the population of Sheboygan, WI was about 113,000 and was growing at a rate of 0.85% per year. Use an exponential function to predict the population in 2023 to the nearest whole number.

Accepted Answer

A)  147,338
B)  1,577,713,700
C)  130,785
D)  137,285

Question 10

Subtract the polynomials. $$\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)$$

Accepted Answer

The answer of Subtract the polynomials. \[\left( 4 t ^...

Question 11

Add the polynomials. $$\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)$$

Accepted Answer

The answer of Add the polynomials. \[\left( 4 w ^...

Question 12

Accepted Answer

The answer of 
...

Question 13

Write the distance formula.

Accepted Answer

The answer of Write the distance formula....

Question 14

$30,000 is invested in an account that pays 2% simple interest. If the money is invested for 10 years, how much will the account be worth?

Accepted Answer

The answer of $30,000 is invested in an account that...

Question 15

If a bank compounds interest quarterly for 10 years, how many total compound periods are there?

Accepted Answer

A)  There are 60 total compound periods.
B)  There are 5 total compound periods.
C)  There are 20 total compound periods.
D)  There are 40 total compound periods.

Question 16

Add the polynomials.

Accepted Answer

The answer of Add the polynomials. ...

Question 17

Determine whether x and y vary directly, inversely, or jointly in the following equation.

Accepted Answer

The answer of Determine whether x and y vary directly,...

Question 18

The amount of $6,000 is invested at 5% for 3 years.
a. Compute the ending balance if the bank calculates simple interest.
b. Compute the ending balance if the bank calculates interest compounded annually.
c. How much more interest is earned in the account with compound interest?

Accepted Answer

The answer of The amount of $6,000 is invested at...

Question 19

Simplify the expression. Write the answer in exponent form. $$y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }$$

Accepted Answer

The answer of Simplify the expression. Write the answer in...

Question 20

Simplify.

Accepted Answer

The answer of Simplify. ...

Exam 4: Living in a Nonlinear World

Of all the topics we have covered in unit 4, what has stood out to you as something most relevant to your life? Explain why.

b is inversely proportional to c . If b is 2 when c is 10 , find b when c=5 .

Find the vertex of the parabola.

A car travels west 8 miles and then north 15 miles. How far is the car from its starting point?

Simplify.

Solve the equation by using the quadratic formula. $3 x ^ { 2 } + 15 x - 72 = 0$

In 2000, the population of Sheboygan, WI was about 113,000 and was growing at a rate of 0.85% per year. Use an exponential function to predict the population in 2023 to the nearest whole number.

Subtract the polynomials. $\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)$

Add the polynomials. $\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)$

Write the distance formula.

$30,000 is invested in an account that pays 2% simple interest. If the money is invested for 10 years, how much will the account be worth?

If a bank compounds interest quarterly for 10 years, how many total compound periods are there?

Add the polynomials.

Determine whether x and y vary directly, inversely, or jointly in the following equation.

The amount of $6,000 is invested at 5% for 3 years. a. Compute the ending balance if the bank calculates simple interest. b. Compute the ending balance if the bank calculates interest compounded annually. c. How much more interest is earned in the account with compound interest?

Simplify the expression. Write the answer in exponent form. $y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }$

Simplify.

Exam 4: Living in a Nonlinear World

Of all the topics we have covered in unit 4, what has stood out to you as something most relevant to your life? Explain why.

b is inversely proportional to c . If b is 2 when c is 10 , find b when c=5 .

Find the vertex of the parabola.

A car travels west 8 miles and then north 15 miles. How far is the car from its starting point?

Simplify.

Solve the equation by using the quadratic formula. 3x2+15x−72=03 x ^ { 2 } + 15 x - 72 = 03x2+15x−72=0

In 2000, the population of Sheboygan, WI was about 113,000 and was growing at a rate of 0.85% per year. Use an exponential function to predict the population in 2023 to the nearest whole number.

Subtract the polynomials. (4t3−12t+6)−(−6t3+t2+16t)\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)(4t3−12t+6)−(−6t3+t2+16t)

Add the polynomials. (4w2+8w)+(3z2−5z)\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)(4w2+8w)+(3z2−5z)

Write the distance formula.

$30,000 is invested in an account that pays 2% simple interest. If the money is invested for 10 years, how much will the account be worth?

If a bank compounds interest quarterly for 10 years, how many total compound periods are there?

Add the polynomials.

Determine whether x and y vary directly, inversely, or jointly in the following equation.

The amount of $6,000 is invested at 5% for 3 years. a. Compute the ending balance if the bank calculates simple interest. b. Compute the ending balance if the bank calculates interest compounded annually. c. How much more interest is earned in the account with compound interest?

Simplify the expression. Write the answer in exponent form. y3⋅y5⋅y7⋅y9y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }y3⋅y5⋅y7⋅y9

Simplify.

Solve the equation by using the quadratic formula. $3 x ^ { 2 } + 15 x - 72 = 0$

Subtract the polynomials. $\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)$

Add the polynomials. $\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)$

Simplify the expression. Write the answer in exponent form. $y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }$