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

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this