consider a residential area. the annual water usage in the area increases at the rate of 5% every year. this year the town used 31,000 mL of water. How much water will be used annually in 20 years?

Consumption in the 20th year  = 82252 (nearest unit)

Step-by-step explanation:

Exponential growth problem.

Current consumption (year 0), P = 31000

growth rate, r = 5%

consumption in nth year

P(n) = P(1+r)^n

for the 20th year,

P(20) = P((1+r)^20) = 31000*1.05^20 = 82252.2 m^3  

(note: annual water consumption in a town is likely to be measured by m^3, please double check)

Step-by-step explanation:

is the principal amount.

is the annual interest rate.

is the time (years).

is the amount after t years.

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.