The annual gross domestic product (gdp) of a country is the value of all of the goods and services produced in the country during a year. during the period 1985-1999, the gross domestic product of the united states grew about 3.2% per year, measured in 1996 dollars. in 1985, the gdp was $577 billion. i what year did/or will the gdp equal $1.6 trillion?

The increase indicates a compound growth of 3.2% per year.
The multiplier is given by 100%+3.2% = 103.2% = 1.032

The initial amount of GDP is 577 billion

We are looking to find in how many years since 1985 that the GDP equals to 1.6 trillion, this is  1.6×10³ billion

The formula for a compound growth/decay is given as
, where  is the final value and   is the intial value.

We are looking to find 'n'

1.6×10³ = 577(1.032)ⁿ
(1.6×10³) ÷ 577 = 1.032ⁿ
1060/577 = 1.032ⁿ ⇒ take log both sides
log( 1060/577 ) = log (1.032)ⁿ
log (1060/577) ÷ log (1.032) = n
n = 19.31 ≈ 19 years

The year when GDP achieves 1.6 trillion is 19 years from 1985, which will be in 2004, providing the increase rates stays the same.

What’s the equation you are trying to solve to get x?

Idon’t know what the answer is i wish i could