Question

A shipping boat transports 20 tons of cargo to the port in January. From January to December the amount of cargo transported to the port by this boat increases by 5% each month. What is the total amount of cargo that the shipping boat transports to the port in a year? Round your answer to the nearest whole number.

Answer 1

The shipping boat transports a total of 365.57 tons of cargo to the port in a year by increasing the amount of cargo transported by 5% each month.

Step-by-step explanation:

To calculate the total amount of cargo that the shipping boat transports to the port in a year, we need to find the amount of cargo transported each month and add them up.

In January, the boat transports 20 tons of cargo.

In February, the amount of cargo is 20 tons plus 5% of 20 tons, which is 1 ton. So, the total amount of cargo in February is 21 tons.

In March, the amount of cargo is 21 tons plus 5% of 21 tons, which is 1.05 tons. So, the total amount of cargo in March is 22.05 tons.

We can continue this pattern for the remaining months, and then add up the amounts of cargo.

Adding up the amounts of cargo for all 12 months, the shipping boat transports a total of 365.57 tons of cargo to the port in a year.