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Mathematics 16 Online
OpenStudy (sparklestaraa):

Help :)

OpenStudy (sparklestaraa):

@Tallan

Directrix (directrix):

Go on the Internet and find interest rates for 2 and 5 year CDs Get the company's name and the minimal investment. Without that current information, we cannot start the problem.

OpenStudy (sparklestaraa):

ah ok wait :P

OpenStudy (sparklestaraa):

u know whats hilarious XD i thought this meant a CD u play lol @Directrix - Barclays APY - 1.15% Rate- 1.14% Compounded daily $0 5yr- APY- 2.25% RATE- 2.23% Compounded daily $0 both as of February 17th,2015

Directrix (directrix):

Here is one site that may help: http://www.bankrate.com/cd.aspx

Directrix (directrix):

Certificate of Deposit. The interest rates are so slow in the current economy.

Directrix (directrix):

Did you look at the minimum investment amount on those Barclay figures?

OpenStudy (sparklestaraa):

Ahhhhh :P makes sense xD and i looked and it said $0 . Is that good that the interest rates are low. My parents do stock exchange but rarely do I think on this lol

Directrix (directrix):

CDs are a sure thing. Stocks vary but there is more money to be made from stocks.

OpenStudy (sparklestaraa):

Nice :) so i looked on that website which should we use?

Directrix (directrix):

Synchrony Bank, I think is higher. Cit Bank requires $25K minimum.

OpenStudy (sparklestaraa):

So we should use that?

Directrix (directrix):

Why don't we just go with yours. These rates fluctuate. CDs may be no risk but they pay a terrible return on the money.

Directrix (directrix):

We, or I might not be able to get through this whole thing tonight. Let's see. What is the next part?

OpenStudy (sparklestaraa):

Ok :) and if u can't tonight maybe tomorrow :) the next part is - Create the functions that represent the 2-year and 5-year CDs with your $5,000 investment. Use these functions to determine the amount you will be paid when the CD matures (the length of time for the specific CD). Show your work.

Directrix (directrix):

We'll need the compounded daily formula. Let's look.

OpenStudy (sparklestaraa):

compound daily is .80%

OpenStudy (sparklestaraa):

wait sorry 1.14% for 2 yr and 2.23% is 5 yr

Directrix (directrix):

Oh, I meant the formula.

Directrix (directrix):

There is an online calulator for computing this stuff but we'll crank it out and then check.

OpenStudy (sparklestaraa):

check ur pm's :) thanks for the help so far heres a medal

OpenStudy (sparklestaraa):

u can continue here if u would like and i will check in the morning :)

Directrix (directrix):

I just saw the message. It is late here, too. So, we'll pick up tomorrow. I'll mark this location. See you later today.

Directrix (directrix):

Two Year CD A = P ( 1 + r/n ) ^ nt, Compound Daily Formula Two Year Function ----------------- rate of 1.14% = .0114 A(t) = 5000 (1 + .0114/365) ^ (365*2) ---------------------- A = 5000 * ( 1 + (.0114/365))^ (365*2) A = $ 5 115.31 in two years. Gain: $115.31

Directrix (directrix):

Two Year CD A = P ( 1 + r/n ) ^ nt, Compound Daily Formula Five Year Function ----------------- rate of 2.23% = .0223 A(t) = 5000 (1 + .0223/365) ^ (365*t) ------------------------------- A(5) = 5000 (1 + .0223/365) ^ (365*5) A(5) = $ 5 589.75 Gain: $ 589.75 over 5 years

Directrix (directrix):

Check against online calc at http://www.thecalculatorsite.com/finance/calculators/compoundinterestcalculator.php

Directrix (directrix):

Check against same calc for 5 years

OpenStudy (anonymous):

on what

OpenStudy (sparklestaraa):

Ok So What u did last night that big problem that is B correct it makes sense in how u did it :)

OpenStudy (sparklestaraa):

and the second one do u mean 5 yr ?

Directrix (directrix):

>>and the second one do u mean 5 yr ? Yes. It has a 5-year label below that.

Directrix (directrix):

The interest is compounded daily so I used the formula for that, filled in the variables, and let the "Wolf" number crunch. I checked the Wolf's work using an online interest calculator, too. So, that's that. You are about to do some calculating with the "Wolf" to fill in that table on part C. A = P ( 1 + r/n ) ^ nt, Compound Daily Formula

Directrix (directrix):

We have to do #3 first.

OpenStudy (sparklestaraa):

sorry xD Stupid connection Had to go help my mom @Directrix

OpenStudy (sparklestaraa):

and whats the wolf xD

Directrix (directrix):

What is question #3? There's another function to write. @Sparklestaraa

OpenStudy (sparklestaraa):

Hey wait Ya the second problem I was just review it

OpenStudy (sparklestaraa):

#3- An investor comes to your office. He says that if you give him the $5,000, he will add on an additional $50 each year to what he owes you. Create the function for this investor's plan.

Directrix (directrix):

The investor is taking the $5000 and paying $50 per year. P(t) = 5000 + 5*t where t is the number of years.

Directrix (directrix):

Look at the 2-year CD row on the chart.

Directrix (directrix):

Crank these out for t = 1, 2, 3, 4, 5 A(t) = 5000 (1 + .0114/365) ^ (365*t)

OpenStudy (sparklestaraa):

Kk Let me try

Directrix (directrix):

You do: 5000 (1 + .0114/365) ^ (365*1) = 5000 (1 + .0114/365) ^ (365*2) = 5000 (1 + .0114/365) ^ (365*3) = 5000 (1 + .0114/365) ^ (365*4)= 5000 (1 + .0114/365) ^ (365*5) =

OpenStudy (sparklestaraa):

So those i do thats on 4 right

Directrix (directrix):

Go to wolframalpha.com and enter each of the calculations. You can copy and paste them from above your last post in this thread.

Directrix (directrix):

You are completing question 4, row 1.

OpenStudy (sparklestaraa):

kk :)

OpenStudy (sparklestaraa):

So thats the wolf got it xD

OpenStudy (sparklestaraa):

5000 (1 + .0114/365) ^ (365*1) =5057.325 5000 (1 + .0114/365) ^ (365*2) = 5115.3077 5000 (1 + .0114/365) ^ (365*3) =5173.954 5000 (1 + .0114/365) ^ (365*4)=5233.2745 5000 (1 + .0114/365) ^ (365*5) =5293.274

Directrix (directrix):

I am not rounding up the cents. I don't know what these banks do. But, let's be consistent in this problem. Round them all down or round them all up. I vote for down.

OpenStudy (sparklestaraa):

kk down will do

OpenStudy (sparklestaraa):

when i round down for example yr 5. 5000 (1 + .0114/365) ^ (365*5) =5293.274 would become 5293.2 correct

Directrix (directrix):

Okay on those. 5057.32, 5115.30 and so on with rounding down.

OpenStudy (sparklestaraa):

Yr. 1- 5000 (1 + .0114/365) ^ (365*1) =5057.32 Yr. 2- 5000 (1 + .0114/365) ^ (365*2) = 5115.30 Yr.3- 5000 (1 + .0114/365) ^ (365*3) =5173.9 Yr. 4- 5000 (1 + .0114/365) ^ (365*4)=5233.2 Yr. 5- 5000 (1 + .0114/365) ^ (365*5) =5293.2

Directrix (directrix):

>>5293.274 would become 5293.2 correct This is a dollars and cents problem so go to 5293.27 Cents are hundredths.

Directrix (directrix):

Now, to row 2 of the chart.

Directrix (directrix):

The 5-year CD rate year by year. A(t) = 5000 (1 + .0223/365) ^ (365*t)

Directrix (directrix):

For t = 1, 2, 3, 4, 5 Starting with 5000 (1 + .0223/365) ^ (365*1) Then, stay on the Wolf and change the 1 year to a 2 and crank that and so on.

OpenStudy (sparklestaraa):

so it goes from 2+ .0223/365) correct?

Directrix (directrix):

No.

Directrix (directrix):

It goes from 5000 (1 + .0223/365) ^ (365*1) to 5000 (1 + .0223/365) ^ (365*2)

Directrix (directrix):

And, then to 5000 (1 + .0223/365) ^ (365*3)

OpenStudy (sparklestaraa):

Wait the connection sorry let me read

OpenStudy (sparklestaraa):

5yr Table Values- Yr.1- 5000 (1 + .0223/365) ^ (365*1)= 5112.74 Yr.2- 5000 (1 + .0223/365) ^ (365*2)= 5228.04 Yr.3- 5000 (1 + .0223/365) ^ (365*3)= 5345.93 Yr.4- 5000 (1 + .0223/365) ^ (365*4)=5466.48 Yr.5- 5000 (1 + .0223/365) ^ (365*5)=5589.74

OpenStudy (sparklestaraa):

@Directrix

Directrix (directrix):

The investor is taking the $5000 and paying $50 per year. P(t) = 5000 + 5*t where t is the number of years.

Directrix (directrix):

So, for the third row, 5000 + 50*t for t = 1, 2 3, 4, 5

OpenStudy (sparklestaraa):

So what is the full equation to plug in

Directrix (directrix):

5000 + 50*1 5000 + 50*2 and so on up to t = 5

OpenStudy (sparklestaraa):

Yr.1- 5000 + 50*1= 5050 Yr.2- 5000 + 50*2=5100 Yr.3- 5000 + 50*3=5150 Yr.4- 5000 + 50*4=5200 Yr.5- 5000 + 50*5=5250 @Directrix

Directrix (directrix):

What is next?

OpenStudy (sparklestaraa):

to- Explain to your friends how to prove that the investor's plan is a linear function and the CDs are exponential functions. Use complete sentences

Directrix (directrix):

Number crunching time again.

OpenStudy (sparklestaraa):

Omg thats like genius :P Thanks and I'm ready for number crunching :D

OpenStudy (sparklestaraa):

ok :P

OpenStudy (sparklestaraa):

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