Answer: 19.6 million
Step-by-step explanation:
The exponential growth function is given by :-
, where A is the initial amount , r is rate of interest and x is time period.
Given : The automobile sales in a country this year : A= 20.6 million
The rate of increase : r = 4.9 %=0.049
For last year , we take x = 1 , then the required exponential equation will be :-
Hence, the number of auto sales in the country last year = 19.6 million.
Answer:
After 7 years and 5 months.
Step-by-step explanation:
Let x represent number of years.
We have been given that a certain company recently sold five-year $1000 bonds with an annual yield of 9.75%.
We can see that the value of bond is increasing exponentially, so we will use exponential growth formula to solve our given problem.
, where,
y = Final value,
a = Initial value,
r = Rate in decimal form,
x = Time
Substituting given values:
Since we need the selling price to be twice the original price, so we will substitute in above equation as:
Switch sides:
Take natural log of both sides:
Applying rule :
Since x represents time in years, so we need to convert decimal part into months by multiplying .4504 by 12 as 1 year equals 12 months.
7 years and 12*0.4504023 months = 7 years 5.4 months = 7 years 5 months
Therefore, after 7 years and 5 months the company could sold the bonds for twice their original price.