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Find accumulation of changes in the function

The function  S(m)=125+20m represents how much money, in dollars, is in a savings account in function of how many months have passed since its opening. How much money was deposited between the 4th and 8th month of its opening?

The function  S(m)=125+20m represents how much money, in dollars, is in a savings account in function of how many months have passed since its opening. How much money was deposited between the 7th and 8th month of its opening?

The function P(t)= 200 e0.1t represents the population of wolves in a wolf sanctuary t years. How much the population increased between the fifth and tenth?

The function  S(m)=125+20m represents how much money, in dollars, is in a savings account in function of how many months have passed since its opening. How much money was deposited between the 1st and 8th month of its opening?

 Is the sentence true or false?

Accumulation of change is synonyms with net change.

 Is the sentence true or false?

One example of an accumulation problem is measuring population growth.

The function g(t)= (1/3) t2 represents the speed (in gallons per minute) at which a tank is filled with a chemical, where t is given in minutes.

How much of the chemical is accumulated during the first 3 minutes of the filling process?

 The function V(x)=12x models the rate at which water escapes through the hole, in gallons per hour. How much water drained out during the first three hours of the leak?

The function S(t)= -t2 + 2t for 0 ≤ t ≤ 2  models the rate at which rain pours from a storm that lasts two hours, in millions of gallons per hour. How much water is accumulated during the second hour of the storm?

The function g(t)= (1/5) t2 represents the speed (in gallons per minute) at which a tank is filled with a chemical, where t is given in minutes

How much of the chemical is accumulated during the first 5 minutes of the filling process?