The value of an 1858 flying eagle penny, in what is considered very fine (vf-20) condition, increased fairly exponentially from 1950 to 2016 at a rate of about 4% per year. in 2016, the coin was worth $75. assume the same rate will continue. what equation models the value of the coin, in dollars, t years after 2016?

Given : In 2016, the coin was worth $75

We need to write the  equation after 2016

So year starts at 2016. We take year 2016 as t=0

When t=0, the coin worth $75

(0, 75) , given rate is 4% = 0.04

Rate is increasing every year

For exponential growth , we use formula

where 'a' initial value in 2016 = 75

r is the rate of interest = 0.04

Plug in the values in the formula

Required equation is

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

a

step-by-step explanation: