A city starts with a population of 200,000 people in 2005. The population has been declining according to
the equation
P(t) = 200,000e-.08
where P is the population t years later. Approximately
when will the population be half the initial amount?

200,000 and 2005 which cant theoretically be done be P(t) which would increase in the population which would most likely be from 2005 to 2020. so you cannot do this because imagine it as X=(Y)x the mass of population which would be defined as (P) which will also be represented as a probable and physical change in the number. but not only the number, but the population. being have of the initial amount which you will take the variable (P) and have the exact amount which would be the population. Which would theoretically recon as a positive ID of the population.-Cj

Step-by-step explanation:

correct answers below:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.