from 1956 to 1966 the number of automobiles in the country increased at an annual rate of 6.65 percent. what is the doubling tim

Question

Ksivusya [100]

3 years ago

9

from 1956 to 1966 the number of automobiles in the country increased at an annual rate of 6.65 percent. what is the doubling tim

e for growth in automobiles in the US?

Mathematics

1 answer:

NeTakaya · Answer 1 · 2022-05-17T06:21:53+03:00

A= P(1+i)ⁿ ,

where A is the value generated after a time " n" at an interest rate of i (in %).

When A = 2.P ?

Replace in the formula: 2.P = P(1+0.0665)ⁿ , after simplification by P, we get

2= (1+0.0665)ⁿ

To calculate n, let' use ln (Neperian logarithm)
ln(2) = n.ln(1.0665) and

n=(ln2)/(ln(1.0665) and n=10.76 years ,