select the correct answer from each drop - down menu. the approximate quantity of liquefied natural gas…

select the correct answer from each drop - down menu. the approximate quantity of liquefied natural gas (lng), in tons, produced by an energy company increases by 1.7% each month as shown in the table. month tons january 88,280 february 89,781 march 91,307 approximately <tons of lng will be produced in may, and approximately 104,489 tons will be produced in <december october november>

select the correct answer from each drop - down menu. the approximate quantity of liquefied natural gas (lng), in tons, produced by an energy company increases by 1.7% each month as shown in the table. month tons january 88,280 february 89,781 march 91,307 approximately <tons of lng will be produced in may, and approximately 104,489 tons will be produced in <december october november>

Answer

Explanation:

Step1: Identify the growth - rate formula

The formula for compound - growth is $A = P(1 + r)^n$, where $A$ is the final amount, $P$ is the initial amount, $r$ is the growth rate as a decimal, and $n$ is the number of time periods. Here, $r=0.017$.

Step2: Determine the initial amount and number of months from March to May

In March, $P = 91307$ tons. The number of months from March to May is $n = 2$.

Step3: Calculate the amount in May

Substitute the values into the formula: $A=91307\times(1 + 0.017)^2$. First, calculate $(1 + 0.017)^2=(1.017)^2 = 1.034289$. Then, $A = 91307\times1.034289\approx94477$ tons.

Answer:

Approximately 94477 tons