anonymous
  • anonymous
Please help me (NO DIRECT ANSWERS) :) I WILL MEDAL/FAN
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Belinda wants to invest $1000. The table below shows the value of her investment under two different options for three different years: Number of years 1 2 3 Option 1 (amount in dollars) 1300 1690 2197 Option 2 (amount in dollars) 1300 1600 1900 Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points) Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points) Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points)
anonymous
  • anonymous
@saseal last one :)
anonymous
  • anonymous
lemme study this wall of text

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anonymous
  • anonymous
okay dookie
anonymous
  • anonymous
Part A is asking about linear and exponential function, you know the different between em right?
anonymous
  • anonymous
Yes ma'am/sir
anonymous
  • anonymous
im doge xD
anonymous
  • anonymous
so a guyyy??? Like I am really slow btw
anonymous
  • anonymous
you can prolly guess which one is a linear function and exponential just by looking
anonymous
  • anonymous
maybeee???
anonymous
  • anonymous
i can but i dont know about you
anonymous
  • anonymous
option one is exponential and option 2 is linear
anonymous
  • anonymous
possibly OS makes me feel really stupid
anonymous
  • anonymous
you are correct
anonymous
  • anonymous
but for the explanation part
anonymous
  • anonymous
option two is linear because it increases by a fixed amount?
anonymous
  • anonymous
its describing the difference between this 2 functions. btw “Everybody is a genius. But if you judge a fish by its ability to climb a tree, it will live its whole life believing that it is stupid.” - Albert Einstein
anonymous
  • anonymous
yea
anonymous
  • anonymous
okay so "option two is linear because it increases by a fixed amount"
anonymous
  • anonymous
yea
anonymous
  • anonymous
I am not sure about option one though
anonymous
  • anonymous
when you did the last question, exponential increase by what factor?
anonymous
  • anonymous
the f(x) of your last question
anonymous
  • anonymous
3%
anonymous
  • anonymous
its a power right?
anonymous
  • anonymous
0.69*1.03^x
anonymous
  • anonymous
its a compounding 3%
anonymous
  • anonymous
yes...but this question doesn't have an equation.
anonymous
  • anonymous
yea that f(x) is an exponential equation just like option 1
anonymous
  • anonymous
whatt?
anonymous
  • anonymous
they behave the same way
anonymous
  • anonymous
like this on the graph|dw:1438877568681:dw|
anonymous
  • anonymous
they have different flavors but they increase to a very steep gradient in the end
anonymous
  • anonymous
increase or decrease depends on the function
anonymous
  • anonymous
they dont behave like a linear function which looks like this on the graph|dw:1438877675414:dw|
anonymous
  • anonymous
okayy sooo...
anonymous
  • anonymous
option b has a quantity growth proportional to its current value
anonymous
  • anonymous
thats what makes it exponential
anonymous
  • anonymous
option a you mean?
anonymous
  • anonymous
yea
anonymous
  • anonymous
Part B now?
anonymous
  • anonymous
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.
anonymous
  • anonymous
option 2 first: its y=mx+b option 1: you want me to hand you compound interest formula?
anonymous
  • anonymous
what? I know y=mx+b. But how does that apply to this? and yes please
anonymous
  • anonymous
y=mx+b b is your y-intercept where its year 0 which is 1000. now from there what is the rate of change of the $$$ per year? that will be your m
anonymous
  • anonymous
okay. Help?
anonymous
  • anonymous
compound interest formula\[A=P(1+\frac{ r }{ 100 })^n\]
anonymous
  • anonymous
A=amount accumulated P=principal amount r=interest rate n=years
anonymous
  • anonymous
yes I know that we were taught this: f(x)=p(1+r)^x where r was the rate in decimal form, p was principle and x was x
anonymous
  • anonymous
y=mx+1000 1000 is your principal
anonymous
  • anonymous
okay
anonymous
  • anonymous
now lets find your m with 2 points
anonymous
  • anonymous
ok, what about 1 and 0
anonymous
  • anonymous
0 is year 0, whats your $ at year 0?
anonymous
  • anonymous
for option B?its 1000
anonymous
  • anonymous
now year 1 of option b?
anonymous
  • anonymous
1300
anonymous
  • anonymous
now you have your 2 points (0,1000) and (1,1300)
anonymous
  • anonymous
you can find your slope from here
anonymous
  • anonymous
\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]
anonymous
  • anonymous
1300-1000/1-0
anonymous
  • anonymous
yes
anonymous
  • anonymous
300/1 or 300
anonymous
  • anonymous
nvm ill show you the simple interest formula so you dont get confused
anonymous
  • anonymous
okay?
anonymous
  • anonymous
\[I=P \times R \times T\]
anonymous
  • anonymous
OKOKOKOk wut?
anonymous
  • anonymous
interest rate is \[\frac{ 1300-1000 }{ 1000 } \times 100\] I = interest created P = principal R = interest rate T = time
anonymous
  • anonymous
300/1000*100=30
anonymous
  • anonymous
yup
anonymous
  • anonymous
we are still on part B?
anonymous
  • anonymous
right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
okay. What was that the answer to? 30
anonymous
  • anonymous
now we are support to create function
anonymous
  • anonymous
okay so f(x)=300
anonymous
  • anonymous
lol
anonymous
  • anonymous
we piece the part of the simple interest formula + principal to get the answer
anonymous
  • anonymous
like this f(x)=x+(P*R*T)
anonymous
  • anonymous
ok
anonymous
  • anonymous
oops its f(x)=1000+(1000*R*x)
anonymous
  • anonymous
since x is time which is the only thing that changes
anonymous
  • anonymous
test this function see if it works
anonymous
  • anonymous
So the answer to part B for Option 2<< or 1 am not sure is f(x)=1000+(1000*R*x)
anonymous
  • anonymous
lets see...\[f(1)=1000+(1000*0.3*1)=1300\]\[f(2)=1000+(1000*0.3*2)=1600\]
anonymous
  • anonymous
thats good for your part b option 2
anonymous
  • anonymous
for option 1 its the compound interest formula, you can find your interest rate like this\[\frac{ 1300-1000 }{ 1000 } \times 100\]
anonymous
  • anonymous
\[f(x)=1000(1.3)^x\]
anonymous
  • anonymous
"f(1)=1000+(1000∗0.3∗1)=1300 f(2)=1000+(1000∗0.3∗2)=1600" for option b?
anonymous
  • anonymous
nah its \[f(x)=1000+(1000*0.3*x)\]you can simplify it further if you like to
anonymous
  • anonymous
well its an essay q, I do not know what its asking for, but I gave the specific question
anonymous
  • anonymous
they say write function, you cant write an essay on that
anonymous
  • anonymous
not literal essay, I mean its not graded by the computer, its by the teacher, so I am not sure what specifically the answer is, since ther are no multiple choice.
anonymous
  • anonymous
they are asking you to craft a function that whenever you put in a year, it will churn out something that tells you the $ you get when you put your $ in for that amount of year
anonymous
  • anonymous
okay moving on. Option A?
anonymous
  • anonymous
scroll up abit
anonymous
  • anonymous
okay. Part C?
anonymous
  • anonymous
Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option.
anonymous
  • anonymous
now plug in 20 into both functions and see the difference
anonymous
  • anonymous
where is the n in the function for option 1? f(x)=1000(1.3)x WOAH WOAH WOAH JUST TO GET THIS ALL CLEAR, OPTION 2: f(x)=1000+(1000*0.3*n) OPTION 1:f(x)=1000(1.3)x
anonymous
  • anonymous
yea
anonymous
  • anonymous
Option 1:\[f(x)=1000(1.3)^x\]Option 2:\[f(x)=1000+(1000*0.3*x)\]
anonymous
  • anonymous
OKAY so next, we fill in 20 f(x)=1000*190.049637749
anonymous
  • anonymous
anonymous
  • anonymous
yea no problem
anonymous
  • anonymous
now compare that to option 2
anonymous
  • anonymous
f(x)=1000+(1000∗0.3∗20) 7000 and
anonymous
  • anonymous
190049.637749 and 7000
anonymous
  • anonymous
whats 190049.637749-7000
anonymous
  • anonymous
183049.638
anonymous
  • anonymous
now you got your numbers go explain it
anonymous
  • anonymous
do you think 180349.638 is a signifcant difference?
anonymous
  • anonymous
yeahhh
anonymous
  • anonymous
thanks for the help :)
anonymous
  • anonymous
yw

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