JamenS
A motor scooter purchased for $1,000 depreciates at an annual rate of 15%. Write an exponential function, and graph the function. Use the graph to predict when the value will fall below $100.
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Traxter
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You must be able to start this one off for yourself. Can you show us what you have so far?
JamenS
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1000(1.15)=100?
hal_stirrup
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hi
JamenS
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hi
JamenS
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can u help me :)
hal_stirrup
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ok ask you self . what is the value of motor scooter after 1 year?
JamenS
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150$....
JamenS
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?
hal_stirrup
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no
hal_stirrup
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so what the question is really saying is , the value of motor scooter goes down by 15%.
SNSDYoona
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100 = 1000e^(-0.15t)
JamenS
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850$
hal_stirrup
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@SNSDYoona
we dont give answers out like that.
SNSDYoona
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1000 = the starting money that u purchased it
the basic formula for this exponential decay and growth functions is
A= Ye^(kt)
SNSDYoona
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thts why i give him the answer first to see if he does any calculation wrong then explain to him if he doesnt get it
hal_stirrup
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thats why we don't give answers out. you need to explain the exponential formula. Not just stated it!!!
SNSDYoona
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A = the amount u left after a certain period of time
Y = initial amount started with
k = ur rate of decay/growth
t= the time
JamenS
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0.1=(-0.15t)
JamenS
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?
SNSDYoona
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have u learn natural logs?
SNSDYoona
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from 100 = 1000e^(-0.15t)
u simplify it then u get down to
0.1= e^(-0.15t)
then u take the natural logs off both side
u get ln(0.1) = -0.15t
then u solve for t
ln(0.1)/0.15 = t
JamenS
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i got 0.666
SNSDYoona
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u shud get 15.35
SNSDYoona
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use ur calculator.. did u type in correctly?
JamenS
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i divide .1 by .15?
SNSDYoona
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nonono u use ln << ln = natural log
SNSDYoona
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look at ur calculator and search for ln
SNSDYoona
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press ln and then (0.1)
SNSDYoona
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then divide by (-0.15)
JamenS
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im using google calculator i dont have 1
JamenS
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15.3?
SNSDYoona
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yeap
JamenS
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v(t) = 0.85(1000)t; the value will fall below $100 in about 18 yr.
v(t) = 1000(0.85)t; the value will fall below $100 in about 18 yr.
v(t) = 0.85(1000)t; the value will fall below $100 in about 14.2 yr.
v(t) = 1000(0.85)t; the value will fall below $100 in about 14.2 yr.
JamenS
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u still there
cnn1999
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hi
LiamMcBay
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hi