Saturday, May 2, 2020

Answers to quiz 6

The formula is: deaths/population x 100,000, no parentheses
State                    pop. (nearest 100,000)     deaths                  rate per 100,000
California              39,500,000                    1,809                            5      
Texas                   29,000,000                    690                               2      
Florida                  21,500,000                    1,154                            5      
New York              19,500,000                    17,638                          90     
Pennsylvania          12,800,000                    1,716                            13     
Illinois         12,700,000                    2,125                            17     
Ohio                     11,700,000                    799                               7      
Georgia                 10,600,000                    1,026                            10     
North Carolina        10,500,000                    342                               3      
Michigan               10,000,000                    3,567                            36     
(10 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: $87,500
If you borrow $50,000 at 5% and have a fifteen year loan, what is the monthly payment?              Answer: $486
If you borrow $50,000 at 5% and have a ten year loan, what is the total you will pay back?  Answer: $75,000
If you borrow $50,000 at 5% and have a ten year loan, what is the monthly payment?          Answer: $625
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: $120,000
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: $154,286      
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: $180,000
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: $160,000      

Wednesday, April 29, 2020

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

Monday, April 27, 2020

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.
 

Friday, April 24, 2020


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.

Monday, April 20, 2020

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
 

Wednesday, April 15, 2020

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.


Monday, April 13, 2020

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.

Friday, April 10, 2020

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.
 

Wednesday, April 8, 2020

Friday, April 3, 2020

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

Monday, March 16, 2020

Face to Face classes are canceled until Wednesday, April 8

No instruction, not face to face or online, will take place for the rest of the month.

Stay Safe,
Prof. Hubbard

Wednesday, March 11, 2020

Face to face classes are canceled on Wednesday, March 11

Laney has canceled face-to-face classes from Wednesday, March 11 to Saturday, March 14.

If you are enrolled in Math 15 and you read this, please send me an email at mhubbard@peralta.edu and include your student ID number.
 

Friday, October 18, 2019

Notes for Homework 8, due Mon., Oct. 21

Notes for conversion from metric to customary and vice versa

Changing Celsius to Fahrenheit

F = 9/5 C + 32

Changing Fahrenheit to Celsius

C = 5/9(F - 32)

Wednesday, September 18, 2019

Notes for Homework 5, due September 23

Notes on the Richter scale and the bel/decibel system for measuring sound

Notes on Venn diagrams

We will have three sets.

U is the universe, all the things that we will discuss.

A and B are the subsets.

The universe is the rectangle, A and B are the two ovals. A on the left and B on the right.

Example. Let the universe be U = {a, b, c, d, e, f, g}

A = {b, e, a, d}
B = {f, a, c, e}

a and e are in the middle sliver, while b and d are in the left oval and f and c are in the right oval.  The letter g isn't in either list, so it goes outside the circles.

Sorry the picture is hard to read.




Friday, April 26, 2019

Notes for Homework 10, due Mon. April 29 NOT ACCEPTED LATE

Notes on converting from metric to customary and vice versa

Changing Celsius to Fahrenheit

F = 9/5 C + 32

Changing Fahrenheit to Celsius

C = 5/9(F - 32)


 

Thursday, September 6, 2018

Notes for Homework 3

Notes for time given in decimal form

On Earth, a years is actually 365.2422 days. We make up the extra number by having a leap year every four years, with a few exceptions. How long is 0.2422 days in hours minutes and seconds?

Decimal days to hours, minutes and seconds:  To get the number of hours, we multiply 0.2422x24 = 5.8128 hours, we save the 5, then multiply the 0.8128 x 60 = 48.768, which means we now have 365 days, 5 hours, 48 minutes and some decimal part of a minute. 0.768x60 = 46.08 seconds, which means a year is 365 days, 5 hours, 48 minutes and 46.08 seconds.


A day on Saturn is 10.656 Earth hours. How do we change the decimal to hours, minutes and seconds?

Decimal hours to minutes and seconds: Multiply the decimal part by 60. In this case, .656 x 60 = 39.36 minutes. We save the 39 minutes and then multiply .36 x 60 = 21.6. This means the final answer is 10 hours, 39 minutes, 21.6 seconds.

Notes for scientific notation

Monday, April 30, 2018

Notes for Homework 11a, due May 1

Notes on the metric system vs. customary

Changing Celsius to Fahrenheit

F = 9/5 C + 32

Changing Fahrenheit to Celsius

C = 5/9(F - 32)

Wednesday, March 21, 2018

Notes for Homework 8, due March 28

Notes on determinants

A 2x2 matrix is an array of four numbers put in two rows and two columns, such as

| a c |
| b d |

The determinant of this matrix is ad - bc, the product of the main diagonal minus the product of the opposite diagonal. If you use Kramer's rule to solve a pair of simultaneous equations, you will need to know how to calculate determinants.

For example, let's consider the following set of equations.

3x - 2y = 7
2x + 4y = 12

As an augmented matrix , these equations become

|  3  -2  : 7 |
|  2   4  : 12|

Matrix_1 is

| 3 -2 |
| 2  4 |

The determinant is 3(4) - 2(-2) = 12 - -4 = 16
 

Matrix_x is

| 7 -2 |
| 12  4 |

The determinant is 7(4) - 12(-2) = 28 - -24 = 52
  Matrix_y is

| 3  7  |
| 2 12 |

The determinant is 3(12) - 2(7) = 36 - 14 = 22

From here, Kramer's rule then has x = 52/16 = 13/4 or 3 1/4. The value for y = 22/16 = 11/8 = 1 3/8
 
  Notes on solving simultaneous equations
 

Wednesday, November 22, 2017

Notes for Homework 12, due Mon., Nov 27



Notes on the metric system

Changing Celsius to Fahrenheit

F = 9/5 C + 32

Changing Fahrenheit to Celsius

C = 5/9(F - 32)




 

Wednesday, September 6, 2017

Notes for Homework 3, due MONDAY, SEPT. 11


Notes for decimal part of a day to hours, minutes and seconds.

Notes for scientific notation

Fractional part of a day


A year is defined by how long it takes a planet to make a single orbit around the sun. An Earth year is 365.2422 days. To make up for the decimal part we have a leap year every four years and skip the leap year if the number of the year is divisible by 100. This means we had leap years in 2004, 2008, 2012 and 2016, but we did not have one in 2000. What this lesson is about is to take the decimal part of this time and turn it onto hours, minutes and seconds.

Step 1. Multiply the decimal part by 24 to get the number of hours.
In this case, .2422 x 24 = 5.8128, which means 5.8128 hours.

Step 2. If there is still a decimal part, multiply it by 60 to get the number of minutes. We know know a year is 365 days, 5 hours and some number of minutes. That number is 60 x .8128 = 48.768

Step 3. If there is still a decimal part, multiply it by 60 to get the number of seconds.
We know know a year is 365 days, 5 hours, 48 minutes and some number of seconds. That number is 60 x .768 = 46.08. In these problems, it is okay to round to the nearest tenth of a second, so the final answer is 365 days, 5 hours, 48 minutes and 46.1 seconds.

Let's do another example. A year on Venus is 224.65 Earth days.

Step 1. .65 x 60 = 15.6, so the year on Venus is 224 days, 15.6 hours.

Step 2. 60 x .6 = 36, so that makes the year on Venus 224 days, 15 hours and 36 minutes. There is no more decimal part, so we don't have to add any seconds to our answer.

Here are two more practice problems. The answers are in the comments.

1. It takes Mercury 87.969 Earth days to travel around the sun. Write this number in days, hours, minutes and seconds.

2. It takes Mars 686.98 Earth days to travel around the sun. Write this number in days, hours, minutes and seconds.