SOLUTION: there are currently 58 million cars in a certain country. decreasing exponentially by 3.6% annually. how many years will it take for this country to have 30 million cars?

Algebra.Com
Question 685555: there are currently 58 million cars in a certain country. decreasing exponentially by 3.6% annually. how many years will it take for this country to have 30 million cars?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
there are currently 58 million cars in a certain country. decreasing exponentially by 3.6% annually. how many years will it take for this country to have 30 million cars?
--------
Each year the # is 96.4% of the previous year.
----
30 mil = 58 mil*0.964^x
-----
0.964^x = 0.5172
----
x*log(0.964) = log(0.5172)
x = 18 years (when rounded up)
==============
Cheers,
stan H.

RELATED QUESTIONS

there are currently 71 million cars in a certain county, decreasing by 1.5% annually how... (answered by Boreal,amfagge92,MathTherapy)
How would I solve: There are currently 74 million cars in a certain country decreasing (answered by navywife617)
There are currently 80 million cars in a country, decreasing 3.4% annually. How many... (answered by greenestamps)
there are currently 53 million cars in a certain country increasing exponentially by 6.6% (answered by josgarithmetic)
There are currently 50 million cars in a certain country, decreasing by 4.9% annually.... (answered by stanbon)
There are currently 68 million cars in a certain country, increasingly by 1.8% annually.... (answered by jsmallt9)
There are currently 60 million cars in a certain country, decreasing by 5% annually. How... (answered by rwm)
There are currently 74 million cars in a certain country, decreasing by 4.3% annually.... (answered by stanbon)
Use the formula N = Iekt, where N is the number of items in terms of the initial... (answered by jsmallt9)