Oxford currently generates 45,000 tons of garbage per year. but the city is launching some recycling initiatives to bring that number down. If as a result, the amount of garbage decreases by 5% each year. Is this problem exponential growth or decay? Identify the growth or decay factor.

growth, (1 + .05)
growth, (1-.05)
decay,(1+.05)
decay,(1-.05)

-Exponential Decay

-Decay factor is (1-0.05)

Step-by-step explanation:

-Given that the number decreases by a defined rate each year from the initial size by 5%,

-This is an exponential decay function of the form:

Where:

is the quantity/size after time t

is the initial size

is the rate of decay

-Our function can the be written as

Hence, the decay rate/factor is 0.05

#Alternatively

The exponential decay can be of the form:

Where:

y is the size at time x, a is the initial size, x is time and b is the decay factor.

b is of the form

Hence, the decay factor is (1-0.05)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.