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Mathematics 21 Online
OpenStudy (camerondoherty):

Can someone help me thro this?

OpenStudy (camerondoherty):

Belinda wants to invest $1000. The table below shows the value of her investment under two different options for two different years: Number of years 1 2 3 Option 1 (amount in dollars) 1100 1210 1331 Option 2 (amount in dollars) 1100 1200 1300 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)

OpenStudy (camerondoherty):

\(\Huge\color{cyan}{I~Know~Number~1}\)

OpenStudy (camerondoherty):

Option 1 is Linear and Option 2 is Exponential.

OpenStudy (camerondoherty):

wait no other way around

OpenStudy (solomonzelman):

HINTS and tips: a) Each year in option 1, is 110% of the previous. b) You just add a number each year. You know that without me :) FOr Part B, do you want a recursive formula for options 1 and 2, or one of the options, or what ?

OpenStudy (camerondoherty):

idk it says to write a function for each of them like: ex. f(x)=2x-2 or somethng like dat @SolomonZelman

OpenStudy (solomonzelman):

well can you dfo the second option for me?

OpenStudy (camerondoherty):

dfo?

OpenStudy (solomonzelman):

I meant do (a common typo)

OpenStudy (camerondoherty):

lol sry so do you want me to make an equation for the second option for you?

OpenStudy (solomonzelman):

yes, if you can :)

OpenStudy (solomonzelman):

I am going to give you one more tip. The y─interectp of both functions is 1000.

OpenStudy (camerondoherty):

Well if y = years wouldnt it be f(x)=y+100? im not so smart when it comes to math xD

OpenStudy (solomonzelman):

f(x) is just another symbol to represent "y" .

OpenStudy (camerondoherty):

oh... lol

OpenStudy (solomonzelman):

I am going to show you the 1st option, and you do the second. in the second option, you can see that each next year is times 1.1 of the previous, so \(\Large\color{green}{\rm f(x)=1000(1.1)^x }\) try to check it....

OpenStudy (camerondoherty):

it works cause 1.1 times 1000 equals 1,100 right?

OpenStudy (mr_perfection_xd):

eight grade stuff ...

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