development expert voice project(math) 2008 copy
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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.
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Every year the grad committee always does a survey on whether or not the graduating class wants a theme for their grad dinner & dance.
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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?
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n= number of trialsP=probability of successµ= population mean
Formulas µ=np
= √npq
=Standard deviation
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= √150(0.48)(0.52)= 6.1188
Standard Deviationn= 150
Meanµ= np=150(0.48)=72 nq=150(0.52)=78
Margin Of Error6.1188 × 1.96 = 11.99
Finding the 95% Confidence72 + 11.99 = 83.99 ≈ 64 Max.72 – 11.99 = 60.01 Min.(84, 60) grads want a theme
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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.
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How many peopleGrads- 150Grads- 150
Dates/Guests – 100Dates/Guests – 100Parents- 75Parents- 75
$ 70 × 150 = $ 10,500$ 70 × 150 = $ 10,500 $70 × 100 = $ 7,000$70 × 100 = $ 7,000 $10,500 + 7,000 = $17,500 $10,500 + 7,000 = $17,500 Total from grads/dates/guestsTotal from grads/dates/guests $ 17,500 $ 17,500
$ 40 × 75 = $ 3,000$ 40 × 75 = $ 3,000Total from parents $ 3,000$ 3,000
Total Profit$17,500 + 3,000 = $ 20,500 $17,500 + 3,000 = $ 20,500
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Compare the difference if all the tickets were sold. 500 tickets in total.
How many people
Grads/ dates/ guests – 250
Parents - 250250 × 70 = $ 17,500250 × 40 = $ 10,000Total amount17,500 + 10,000 = $ 27,500
Finding the difference27,500 – 20,500 = $ 7,000
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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!
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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
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The Answer Is…….n= 16 r= 8
There is 12, 870 different ways that my friend & I can sit at the dinner.
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This can be also written like this…… 16 nCr 8 = 12,870 different ways
See you still get the same answer.
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CONVERITBLE HERE I COME!!!
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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?
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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.
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Now that we have the formula lets solve!
$55,000 − 30,000 = $ 25,000
The present value is $25,000
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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
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Yes, once again we need to know what everything means…..
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N=48 (12 × 4)I%= 8.75PV= 25,000→PMT=(you are trying to find this)FV= 0P/Y= 12C/Y= 12 To solve this.....you press
ALPHA then Enter
Your answer should be……… $619.16
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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
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