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.
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.