An internet service provider had a total of $17, 156 customers last year they gained a net of $1,802 customers this year they hope to reach at least 35,000 customers in 10 years estimate the number of customers they need to reach their goal

To estimate the number of customers the internet service provider needs to reach their goal of 35,000 customers in 10 years, we need to determine the average annual net gain in customers.

First, let's calculate the average annual net gain in customers:
Total customers gained in the previous year: $1,802$
Total number of years: $10$
Average annual net gain: $\frac{1,802}{10} = 180.2$ customers per year

Next, we need to calculate the number of customers the internet service provider already has:
Total customers last year: $17,156$

Finally, we can estimate the number of customers needed to reach their goal:
Goal in 10 years: $35,000$
Estimated number of customers needed: $17,156 + (180.2 \times 10) + 35,000 = 17,156 + 1,802 + 35,000 = 53,958$

Therefore, the internet service provider needs an estimated 53,958 customers to reach their goal of 35,000 customers in 10 years.