Assume the amount of pollution entering the world's oceans grows exponentially. At the start of 1900 suppose that the instantaneous rate at which pollution enters the oceans is 107 tons per year, and that the amount doubles every 10 years thereafter.
Express the rate that pollution enters, in units of tons per year, at a time t years after 1900.
Fill in below an integral which expresses the total amount of pollution which has entered during the period 1900 to 1990. int_a^b dt
where a = and b =

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: