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 $100.
You must be able to start this one off for yourself. Can you show us what you have so far?
1000(1.15)=100?
hi
hi
can u help me :)
ok ask you self . what is the value of motor scooter after 1 year?
150$....
?
no
so what the question is really saying is , the value of motor scooter goes down by 15%.
100 = 1000e^(-0.15t)
850$
@SNSDYoona we dont give answers out like that.
1000 = the starting money that u purchased it the basic formula for this exponential decay and growth functions is A= Ye^(kt)
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
thats why we don't give answers out. you need to explain the exponential formula. Not just stated it!!!
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
0.1=(-0.15t)
?
have u learn natural logs?
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
i got 0.666
u shud get 15.35
use ur calculator.. did u type in correctly?
i divide .1 by .15?
nonono u use ln << ln = natural log
look at ur calculator and search for ln
press ln and then (0.1)
then divide by (-0.15)
im using google calculator i dont have 1
15.3?
yeap
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.
u still there
hi
hi
Join our real-time social learning platform and learn together with your friends!