Atown with an initial population of 2,000 doubling in size every 10 years . exponential function or no ?

P = 2000 * 2^(t/10)

Any time you get something raised to a power, you should suspect it is exponential. In this case, it is exponential.

The 2 is raised to a power that every 10 years the population doubles. That it. What happens after 10 years?

P = 2000*2^(10/10) = 2000*2 = 4000

What will happen in 40 years.

P = 2000*2^(40/10) = 2000*2^4 = 2000*16 = 32000.

Yes

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

answer:   he will receive $21093.75 only.

explanation:

since we have given that

cost of house = $180,000

since he has a coinsurance clause of 75%,i.e. he does not fully insured his property.

amount the owner insured for the property = $101,250.

amount he lost in damage = $50,000

amount he will receive from insurance is given by

so, he will receive $21093.75 only.