This year, Newton recycled 79,270 tons of material. If this amount increases by 8% each year, how much material will be recycled 10 years in the future?

If necessary, round your answer to the nearest tenth.

1 answer

To determine how much material will be recycled 10 years in the future, we need to calculate the amount of material recycled each year using the 8% increase.

First, we need to find 8% of 79,270 tons:
8% = 8/100 = 0.08
0.08 * 79,270 = 6341.6 tons

Next, we add this amount to the initial amount of 79,270 tons to find the amount that will be recycled in the first year:
79,270 + 6341.6 = 85,611.6 tons

To find the amount that will be recycled in the second year, we again calculate 8% of the new amount:
0.08 * 85,611.6 = 6,849.7 tons

We can continue this process for each year until we reach 10 years in the future.

After 10 years, the amount of recycled material will be:
79,270 + (0.08 * 79,270) * 10 = 79,270 + 6,341.6 * 10 = 79,270 + 63,416 = 142,686 tons

Therefore, the estimated amount of material that will be recycled 10 years in the future is 142,686 tons.