The town of madison has a population of 25000. the population is increasing by a factor of 1.12 each year. write a function that gives the population p(t) in madison t years from now p(t)=

Step-by-step explanation:

An exponential function is given by:

where,

y is the amount after t years.

a is the initial amount

b is the growth factor.

As per the statement:

The town of Madison has a population of 25000.

⇒a = 25000

and the population is increasing by a factor of 1.12 each year.

⇒ b = 1.12

then by definition we have;

where, P(t) is the population in t years from now.

Therefore, a function that gives the population P(t) in Madison t years from now is,

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)

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.