The country of Freedonia has decided to reduce its carbon-dioxide emission by 35\%35%35, percent each year. This year the country emitted 404040 million tons of carbon-dioxide.
Write a function that gives Freedonia's carbon-dioxide emissions in million tons, E(t)E(t)E, left parenthesis, t, right parenthesis, ttt years from today.

At t years, the composition of carbon dioxide is 45 * 0.35^(t - 1) million tons

Step-by-step explanation:

Given

Current composition of carbon dioxide = 40million tons

Rate of reduction = 35%

Time = t years

The question is an arithmetic progression, asking is to calculate the nth term

To solve this, we make use of the geometric progression formula of nth term

Tn = a,r^(n-1)

Where a = first term

n = expected term

r = common ratio.

In this case

a = 45 million

r = 35% = 0.35

n = t

By substituton

At t years, the composition of carbon dioxide is 45 * 0.35^(t - 1) million tons

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