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help_people
 one year ago
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table below shows the value of the cement mixer after the first and second years:
Year
1
2
Value (in dollars)
47,158.35
41,027.76
Which function best represents the value of the cement mixer after t years?
f(t) = 47,158.35(0.87)t
f(t) = 54,205(0.13)t
f(t) = 47,158.35(0.13)t
f(t) = 54,205(0.87)t
help_people
 one year ago
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table below shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158.35 41,027.76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158.35(0.87)t f(t) = 54,205(0.13)t f(t) = 47,158.35(0.13)t f(t) = 54,205(0.87)t

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.21)post a question 2) tag :)

help_people
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433768820354:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2depreciated meaning what ? any idea how to start ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2key words depreciated constant rate *per* year

help_people
 one year ago
Best ResponseYou've already chosen the best response.0multiply something but no idk where to start

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2so \[\huge\rm f(t)=P (1 \frac{ r }{ 100 })^t\] r=rate p =starting amount t= years substitute values :) and then sovle

help_people
 one year ago
Best ResponseYou've already chosen the best response.0where are the vlues?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0f(t)=54,205(1r/100)^1?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2alright great can you solve for r :) and yeah when t=1 f(t) = 47158.35 :)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\[47158.35 =54,205(1\frac{r}{100})^1\]

help_people
 one year ago
Best ResponseYou've already chosen the best response.0you would diode 54,205 on the other side right

help_people
 one year ago
Best ResponseYou've already chosen the best response.047185/54205=(16/100)^1

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2yep right :) solve for r

help_people
 one year ago
Best ResponseYou've already chosen the best response.0now I'm confused how to do that can u show me please?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2anything to the 1 power equal to same thing so (1r/100)^1 = 1r/100

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2nope 47185/54205= ?? divide this first

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2did you divide 47185/54205= ??

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2show ur work how did you get .87 ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2what did you put in to the cal?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0what you exactly told me @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\(\color{blue}{\text{Originally Posted by}}\) @help_people 47185/54205=(1r/100)^1 \(\color{blue}{\text{End of Quote}}\) this is right solve for r i asked a question how did you get .87 and what did you pout into the calculator ? bec i got difference answer for r

help_people
 one year ago
Best ResponseYou've already chosen the best response.0i got .87 by dividing those two numbers like you told me i did not see r equals that @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2facepalm* i thought u r saying r=.87 >.^

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2wait we don't have to use that equation mhmm

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1our rate of change from year 1 to year 2 is: \[r=\frac{value_2value_1}{value_1}\] since we want to know how much worth it has retained, we are interested in 1r

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1or rather 1  r might be more precise

help_people
 one year ago
Best ResponseYou've already chosen the best response.0so i have to put in the values in r ?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1you are finding the percentage of difference, yes

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1for an estimate, what is (4741)/47?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{4741}{47}\implies \frac{47}{47}\frac{41}{47}\implies 1\frac{41}{47}\] if you want to see how it relates to Nneshas posts

help_people
 one year ago
Best ResponseYou've already chosen the best response.0round it would be 0.13

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1then we lose about .13 a year we retain about 1.13

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1what is out value? in other words, how much do we retain as the years go on? which option do you choose now?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1.13 is NOT what we want ...

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1c tells us how much we have lost over the years. it doesnt really tell us outright what the value is for each year without further calculations.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1does b have .13 in it?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1do want to have a .13 in it?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1if we are losing 13% of our value each year, then our value is not 13% if i have 1 dollar, and i have to pay someone 13cents, how much value of that dollar do I have left over?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1another view of it is 47(.13) = 41 ?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0i don't get it i thought it would be that is tme 13

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1answer me this ... is 47(1.3) = 41 ? or even close to it?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.147(.13 ) = 41 that is

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1if .13 is what we lose in value, then how much do we keep in value?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0? I'm not understudying what ur asking?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1good luck then, because I really dont have any other way of asking it.

help_people
 one year ago
Best ResponseYou've already chosen the best response.0would we keep .87?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0ok then i did understand srry

help_people
 one year ago
Best ResponseYou've already chosen the best response.0so based on that i find a to be the answer

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1'a' is a trick we start with the original value of the equipment

amistre64
 one year ago
Best ResponseYou've already chosen the best response.154(.87)^0 = 54 , for year 0 its brand new. 54(.87)^1 = 47 or there abouts 54(.87)^2 = 41 or there abouts

help_people
 one year ago
Best ResponseYou've already chosen the best response.0but remember that equation you gave me earlier about rvalue 1value 2/value1 i used that and found the answer

help_people
 one year ago
Best ResponseYou've already chosen the best response.0so that does nt show the whole information?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1you found the percent of change from 47 to 41, its a difference calculation. 47 lost 13% to get to 41

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1it shows a method of approaching the solution.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.141/47 = .87 is valid as well.

help_people
 one year ago
Best ResponseYou've already chosen the best response.0yeah so d? but i still am not getting why

help_people
 one year ago
Best ResponseYou've already chosen the best response.0wait yes i amm srry @amistre64

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2P represents initial amount which is what in the question ?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0thank yo so d is correct ? @amistre64

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2great explanation amis! you can also use this equation \[47158.35 =54,205(1\frac{r}{100})^1\] solve for r r=13 plug in \[\large\rm f(t)=54,205(1\frac{13}{100})^t\] remember p represent initial amount solve the parentheses gO_Od luck! :)
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