Hi! My name is Lilly. I’m in my last year of high school….so my grad is coming up soon. I’m hoping that you can help me solve a few problems that I have. Hi! My name is Lilly. I’m in my last year of high school….so my grad is coming up soon. I’m hoping that you can help me solve a few problems that I have.

Every year the grad committee always does a survey on whether or not the graduating class wants a theme for their grad dinner & dance.

Every year the grad committee always does a survey on whether or not the graduating class wants a theme for their grad dinner & dance.

This year we have 150 grads . In the past few years only 48% wanted a theme and 52% didn’t. How Confident can I & the grad committee be that this year will be different?

n= number of trials P=probability of success µ= population mean =Standard deviation Formulas µ=np = √npq

n= number of trials

P=probability of success

µ= population mean

Standard Deviation n= 150 Mean µ= np=150(0.48)=72 nq=150(0.52)=78 Margin Of Error 6.1188 × 1.96 = 11.99 Finding the 95% Confidence 72 + 11.99 = 83.99 ≈ 64 Max. 72 – 11.99 = 60.01 Min. (84, 60) grads want a theme = √150(0.48)(0.52) = 6.1188

Standard Deviation

n= 150

At my school we have only one night to buy our grad dinner & dance tickets. It’s going to take place tomorrow in the gym, after school from 3:30-6:00 then 7:30-9:00.

How many people Grads- 150 Dates/Guests – 100 Parents- 75 $ 70 × 150 = $ 10,500 $70 × 100 = $ 7,000 $10,500 + 7,000 = $17,500 Total from grads/dates/guests $ 17,500 $ 40 × 75 = $ 3,000 Total from parents $ 3,000 Total Profit $17,500 + 3,000 = $ 20,500

$ 70 × 150 = $ 10,500

$70 × 100 = $ 7,000

$10,500 + 7,000 = $17,500

Total from grads/dates/guests $ 17,500

Compare the difference if all the tickets were sold. 500 tickets in total. How many people Grads/ dates/ guests – 250 Parents - 250 250 × 70 = $ 17,500 250 × 40 = $ 10,000 Total amount 17,500 + 10,000 = $ 27,500 Finding the difference 27,500 – 20,500 = $ 7,000

How many people

Grads/ dates/ guests – 250

Parents - 250

With the grad dinner coming up soon we get to choose who we want to sit with. There is 16 of us but only 8 people can sit at a table. So of course I would love to sit with my friends but….we kind of have a problem !

There is 16 of us but only 8 people can sit at a table.

So I’m wondering how many different ways can my friends & I sit? Before we find out we need to know what the formula is & what they mean. Formula n! (n-r)! r! Meanings n = the number of objects that are available to be arranged r = the number of objects that are being arranged. ! = symbol used for factorial notation

The Answer Is……. n= 16 r= 8 There is 12, 870 different ways that my friend & I can sit at the dinner.

n= 16 r= 8

This can be also written like this…… 16 nCr 8 = 12,870 different ways See you still get the same answer.

This can be also written like this……

16 nCr 8 = 12,870 different ways

See you still get the same answer.

CONVERITBLE HERE I COME!!!

CONVERITBLE HERE I COME!!!

The car that I have chosen is 2008 Saab convertible. The total price with tax is $55,000. My parents will make a down payment of $30,000 and the rest they are going to get a loan from the bank. The loan interest rate is 8.75% and it have to be paid off in 4 years. What is my parents monthly payments?

The loan interest rate is 8.75% and it have to be paid off in 4 years. What is my parents monthly payments?

Before we can find out how much they have to pay monthly we need to find the present value. Formula Total price of car − down payment = present value.

Before we can find out how much they have to pay monthly we need to find the present value.

Now that we have the formula lets solve! $55,000 − 30,000 = $ 25,000 The present value is $25,000

$55,000 − 30,000 = $ 25,000

Now, that we know the present value we can find the monthly payments. To solve this part we need to use our TI-83 (or higher) calculators because we need to use our TMV solver. How to get into the TMV solver?! This is how…….. 1.) Apps 2.) Finance 3.)TMV Solver

To solve this part we need to use our TI-83 (or higher) calculators because we need to use our TMV solver.

Yes, once again we need to know what everything means…..

N=48 (12 × 4) I%= 8.75 PV= 25,000 ->PMT=(you are trying to find this) FV= 0 P/Y= 12 C/Y= 12 To solve this.....you press ALPHA then Enter Your answer should be……… $619.16

To solve this.....you press ALPHA then Enter

Since we have the PMT now…we can find the total amount. Formula PMT × N = total amount $619.16 × 48 = $ 29, 719.68 The total loan in 4 years is $29, 719.68

Since we have the PMT now…we can find the total amount.

The pictures that I use are from Google images & Flickr & Clip Art

The pictures that I use are from Google images & Flickr & Clip Art