Quiz 6

Name: ___________________ 
Math for Liberal Arts – Math 15

Quiz 6                            20 points

Put answers in spaces provided.

(10 points) Here are the populations of the ten most populous states and the number of COVID-19 deaths they have reported as of April 28, according to covidtracking.com. Find the rate per 100,000, rounding to the nearest whole number.

The formula is: deaths/population x 100,000, no parentheses

State                    pop.                    deaths                  rate 

California           39,500,000          1,809                   ____

Texas                   29,000,000            690                   ____

Florida                  21,500,000           1,154                ____

New York              19,500,000           17,638             ____

Pennsylvania          12,800,000          1,716               ____

Illinois         12,700,000            2,125                   ____

Ohio                     11,700,000             799               ____

Georgia                 10,600,000             1,026          ____

North Carolina        10,500,000             342           ____

Michigan               10,000,000             3,567         ____

====

(5 points) If you have the rate r, the number of years y and the amount of the loan A.

The total you will pay back is given by

Total = A * (1 + r*y)

The monthly formula is

Monthly = Total/(12 * y)

Make sure to use the parentheses.

Round answers to the nearest dollar.

If you borrow $50,000 at 5% and have a fifteen year loan, what is the total you will pay back?

Answer: ____________________

If you borrow $50,000 at 5% and have a fifteen year loan, what is the monthly payment?

Answer: ____________________

If you borrow $50,000 at 5% and have a ten year loan, what is the total you will pay back?

Answer: ____________________

If you borrow $50,000 at 5% and have a ten year loan, what is the monthly payment?

Answer: ____________________

====

(5 points) If you know your monthly pay payment Monthly, the number of years to pay the loan back and the rate, the maximum amount you can borrow is given by

Amount = Monthly * 12 * y / (1 + r*y)

Round the answers to the nearest dollar.

If you can afford to pay $1500 a month and you can get a ten year loan at 5%, what is the largest amount you can borrow?

            Amount: _____________________        

If you can afford to pay $1500 a month and you can get a fifteen year loan at 5%, what is the largest amount you can borrow?

            Amount: _____________________        

If you can afford to pay $1500 a month and you can get a twenty year loan at 5%, what is the largest amount you can borrow?

            Amount: _____________________        

If you can afford to pay $2000 a month and you can get a ten year loan at 5%, what is the largest amount you can borrow?

            Amount: _____________________        

Changing Roman numerals to Hindu-Arabic

There are 27 patterns used to make up Roman numerals from 1 to 999. The patterns are put in order from largest to smallest as we read from left to right, which is true for Hindu-Arabic numerals as well.

1 through 9. With these patterns the first symbol is either I or V.
I = 1
II = 2
III = 3
IV = 4 (one before five)
V = 5
VI = 6
VII = 7
VIII = 8
IX = 9 (one before ten) 

10 through 90. With these patterns the first symbol is either X or L.
X = 10
XX = 20
XXX = 30
XL = 40 (ten before fifty)
L = 50
LX = 60
LXX = 70
LXXX = 80
XC = 90 (ten before hundred) 


100 through 900. With these patterns the first symbol is either C or D.
C = 100
CC = 200
CCC = 300
CD = 400 (hundred before five hundred)
D = 500
DC = 600
DCC = 700
DCC = 800
CM = 900 (hundred before thousand) 
M = 1,000, but another way to write numbers past 1,000, is to put a bar over the numbers.

For example,
__
IX = 9,000.

Change CDXCVII into Hindu-Arabic.

We start on the left and we find CDXCVII. CD = 400, the hundreds place

Then we have XCVII. XC = 90, the tens place.

VII = 7. Put them all together and we get CDXCVII = 497.

Change DIV into Hindu-Arabic.

D = 500, IV = 4, so this is 504. In Roman numerals they had no symbol for zero, so they just left that position blank.
 

Link to homework 10

Click on this link to get a copy of Homework 10. It is due on Monday, May 4.

Answers to Homework 9

Flu/pneumonia 1910: 156 per 100,000

Flu/pneumonia 1950: 32 per 100,000

Flu/pneumonia 1990: 32 per 100,000

COVID-19 deaths per 100,000 as of April 21

California: 3 per 100,000

Texas: 2 per 100,000

Florida: 4 per 100,000

New York: 76 per 100,000

Pennsylvania: 12 per 100,000

Ilinois: 12 per 100,000

Ohio: 5 per 100,000

Georgia: 8 per 100,000

North Carolina: 2 per 100,000

Michigan: 27 per 100,000

back page

$50,000 at 4% for fifteen years

Total: $80,000
Monthly: $444

$50,000 at 4% for ten years

Total: $70,000
Monthly: $583

You can afford to pay $1500 a month, ten year loan at 5%
Most you can borrow = $120,000


You can afford to pay $1500 a month, fifteen year loan at 5%
Most you can borrow = $154,286
You can afford to pay $1500 a month, twenty year loan at 5%
Most you can borrow = $180,000
You can afford to pay $2,000 a month, ten year loan at 5%
Most you can borrow = $160,000

This week's schedule

Homework 9 is due by midnight tonight.

Quiz 6 will be Wednesday in class for 20 points, based on Homework 9.

Homework 10 will be handed out on Wednesday, due next Monday.

Next week will be the second midterm. Take-home section will be handed out on Monday, due Wednesday, in class section on Wednesday.

Zoom room number is 635-591-163.
 

Link to the answers for Wednesday's quiz.
 
Quiz 5 was given in four parts over the last two weeks, you will be sent an email with your grades.

Homework 9, answers to Homework 8, quizzes for April 22

Here is the link to Homework 9, due Mon., April 27

Here is the link to the Answers for Homework 8

If you last name begins with A through H, here is your quiz to be completed by the end of class

If you last name begins with J through Z, here is your quiz to be completed by the end of class

Link to Monday's lecture

Click here to see the lecture from Monday, April 30.

Files for class on April 20

Click here for the notes I am using during the lecture.

Click here for the worksheet due by the end of class. Completing the work is worth 5 points toward the next quiz grade.

When you are finished with the worksheet, send an email with the answers to mhubbard@peralta.edu, I will send an answer sheet and grades of the students by tomorrow morning.

Answers

USA 12.3
Italy 39.1
Spain 43.7
France 30.2
UK 23.7
Belgium 49.0
Iran 6.1
Germany 5.5
China 0.3
Netherlands 21.5
 

Files for class on April 15

Link to the answers for last week's homework

Link to today's quiz. Note that there are two pages, but you only have to complete one, depending on your last name.

Link to the homework due Monday.

Class today at 9:30

Class starts today at 9:30, I will be in the room at 9:10 if you have questions. Same Zoom room number as last week, same for the rest of the term.

635-591-163

Please sign in with a name I recognize.

See you later this morning.

Here is a link to the notes.

Both lectures this week and a link to the homework

Monday's lecture

 Wednesday's lecture

Click this link for the homework

Homework is due Monday. Stay safe and I'll see you soon.
 

Link to April 8 lecture up on YouTube

Click here to get to the YouTube page

Link to Homework 7, due Monday April 13

Click on this link.

If you want to follow along with today's lecture, click here.

Link to April 6 lecture on YouTube

https://www.youtube.com/watch?v=l2RuhHv4AYI

UPDATE: Classes begin on Zoom on Monday, April 6 at 9:30

You can access Zoom on a laptop or on a cellphone. The number for the class at 9:30 is

635-591-163

The number for the 12:20 office hour is

584-656-357

Hope to see you all this Monday. 

Below is a link to my class notes for this week.

https://drive.google.com/file/d/16-F4fKvYJjHOP6HueN-9GPfDC_J0HTCT/view?usp=sharing