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The approximate quantity of liquefied natural gas (LNG), in tons, produced by an energy company increases by [tex]$1.7\%$[/tex] each month as shown in the table below.

\begin{tabular}{|c|c|c|c|}
\hline
Month & January & February & March \\
\hline
Tons & 88,280 & 89,781 & 91,307 \\
\hline
\end{tabular}

Approximately [tex]$\square$[/tex] tons of LNG will be produced in May, and approximately 104,489 tons will be produced in [tex]$\square$[/tex].


Sagot :

To solve these problems, let's follow the details of the increases month by month and examine how long it takes to reach the target production value.

1. Calculating Production in May
- January: Given as 88,280 tons.
- February: Increasing by 1.7%, it becomes approximately 89,781 tons.
- March: Again increasing by 1.7% from February, it becomes approximately 91,307 tons.
- April: Increasing by 1.7% from March, it produces approximately 92,859 tons.
- May: Increasing by 1.7% from April, it produces approximately 94,438 tons.

2. Finding the Month to Reach 104,489 Tons
- We start from January with 88,280 tons and increase by 1.7% each month.
- After January: 88,280 tons.
- After February: approximately 89,781 tons.
- After March: approximately 91,307 tons.
- After April: approximately 92,859 tons.
- After May: approximately 94,438 tons.
- Continuing this process month by month, we will reach 104,489 tons in approximately November (11th month from January).

Thus, after understanding the calculations for each month:

The approximate quantity of liquefied natural gas (LNG) produced in May is 94,438 tons, and approximately 104,489 tons will be produced in November.