MY THOUGHTS

I personally really dislike this project, because i hate computers. I am computer illiterate and don't know how to do cool affects or interesting things. I would've really liked it if it were to be done on paper. However, making up questions and doing the work was interesting and fun.

JENNIFER'S HOUSE

Jennifer wants to buy a house for $300 000. Her house is worth $200 000 with a mortage of $80 000. She owns a car worth 1 300, but still owes $600. She also has stocks worth $40 000, $10 000 in the bank, and $30 000 in a savings account. She still also has to pay $5 000 for a trip she went on to California.

a) Would she be able to get a loan to buy the house?

Liability - 200 000 + 1 300 + 40 000 + 10 000 + 30 000 = 301 300
Debt - 80 000 + 600 + 5 000 = 85 600

301 300 - 85 600 = 215700

(215700-80000)/215700 = .6291145109

No she would not be able to get the loan.

WHY? First you find all the liability (anything of worth she has) and get the total. You then find all her debt and add it all up together, then subtract the debt from the liability. That is her total liability or net worth. You then subtract the mortage from that end after divide by her net worth. Why do we do this? It's called the Debt/Equity Ratio, which state you do the following equation... (total liability-mortage)/ net worth. If the answer is over .5 even by half a percent you will have a hard time getting a loan anywhere.

ROBERT THE THIEF

Robert is a thief, he is trying to steal the crown jewels. One problem, to access the jewels he needs to unlock a code with the numbers...
1, 0, 8, 6, 7, 5, 4, 3, 1, 0, 6, 2,

a) How many possibilities are there?

WHY? You set it up like this so you can see the different amount of numbers you need. Then the first space you put 12 because you have 12 different numbers to choose from. Then the next space you only have 11 because you just used one in the place before it. You then multiply all the numbers together to get the answer.

b) If the first two numbers cannot be a 0 or 6 how many possibilities are there?


WHY? The first number cannot be 6 or 0 so since there are four of those two numbers you can only have eight options, for the second space one number of the numbers you can choose from is gone so now you only have seven options. For the third space you can now include the 6 and 0's but you've already used two of the twelve spaces so now you only have ten options and so on.

c) If the first has to be a 0 and the fifth has to be 2 and the last 8 how many possibilities are there?


WHY? Te first place has only one option and same as the fifth and last place. The rest you just fill in with however many options you have like we did on the ones above.

JOAHANA'S PREGNANCY

Joahana is pregnant with six children. She wants to know different possibilities.


a) Find out the different possibilities of girls to boys ratio

BOYS 6 5 4 3 2 1 0
GIRLS 0 1 2 3 4 5 6

WHY? This is really easy to explain. You make a sort of chart to make it easier to read then you just have to put all the possibilities of boys you can have then subtract the number of boys from six to find out how many girls you can have with that amount of boys.

b) What are the chances the first child will be a girl and the last child a boy?

The answer is 1/4

WHY? First off we multiply two six times to find out how many possibilities there are all together. We use two because that's how many possibilities there are to have a girl or boy for all six children that come out. We then have to find the possibilities for the first one coming out a girl and the last a boy. That's why we switch the 2's in the first and last spots to ones, there is only one possibility. Once we get the sum of both we put the equation with specifications on the top and the one with all possibilities, we then have to reduce the fraction to get our answer.

JJ'S FACTORY

The new JJ's factory factory makes approximately 2oo black muscle shirts, 300 pink tank tops, 90 blue v-necks, and 150 green t-shirts. Black muscle shirts cost $10 each, pink tank tops cost $7 each, blue v-necks cost $15 each, and the green t-shirts cost $9 each.

a) Approximately how many of each kind of shirt does the factory make in half a year and what is the profit of each?


Black muscle shirts - 1200 = $12000
Pink tank tops - 1800 = $12600
Blue v-necks - 540 = $8100
Green t-shirts - 900 = $8100

WHY? You multiply the purple vector by six since that represents the six months. The numbers in the purple vector represents the different amounts of each shirt made. We then got the the sum which then turned to be the green vector. We then take that vector and multiply it by the other green vector which is the costs of each kind of shirt to get the sum of money made for each kind of shirts in that six months.

b) What kind of shirts would make the most profit in ten years?



Black muscle shirts = $240000
Pink tank tops = $252000 (made the most money)
Blue v-necks = $162000
green t-shirts = $162000

WHY? We use the same resultant vector we got in part a). This is because that resultant gave us approximately how much was made in six months. We get the twenty infront of it by multiplying ten which is the amount of years we're trying to find the profit for by two since we need two sets of six months to make a year. By multiplying theese together you get the amount of each shirt made in ten years.

c) If the approximated amount of shirts increase by 15% every four months, how many shirts would they make in one year?



WHY? Multiplying the matrix with all the original number of shirts by 1.15 tells how many shirts are made in the first 4 months which is the green matrix. Then we multiply the green matrix to find how many shirts the're making in 8 months. We do this three times because we got to find out how many shirts they are making of each kind by the end of the one year. Since there are 12 months in a year we divide 12 by 4 the number of months when the percentage goes up by 15%.