Question

A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 14 years, to the nearest whole number?

Answer 1

To find the total number of fish the company caught over the first 14 years, calculate the number of fish caught each year and sum them up. Using the given decrease rate of 4%, the total number of fish is approximately 1,153,664.

Step-by-step explanation:

To find the total number of fish the company caught over the first 14 years, we need to calculate the number of fish caught each year and then sum them up.

In the first year, the company caught 95,000 fish.

In the second year, the number of fish caught decreased by 4%, which is equivalent to multiplying the previous year's catch by (1 - 0.04). So, in the second year, the company caught 95,000 * (1 - 0.04) = 91,200 fish.

We can continue this process for the remaining years.

Calculating for all 14 years, we can use the formula:

Total fish caught = 95,000 + 95,000 * (1 - 0.04) + 95,000 * (1 - 0.04)^2 + ... + 95,000 * (1 - 0.04)^13

Using this formula, we find that the total number of fish the company caught over the first 14 years is approximately 1,153,664 fish.