Respuesta :
The correct answer would be
$249.45
2018 - 2007 = 11
11 x 0.2% = 0.22%
0.22% of 250 = 0.55
250 - 0.55 = 249.45
$249.45
$249.45
2018 - 2007 = 11
11 x 0.2% = 0.22%
0.22% of 250 = 0.55
250 - 0.55 = 249.45
$249.45
Answer: $244.55
Step-by-step explanation:
We know that the exponential decay function is given by :-
[tex]f(t)=A(1-r)^t[/tex] , where r is the rate of decay ( in decimal ) , A is the initial amount and t is time period.
Given : A = $250 ; r=0.002 t= 11 [From 2007 to 2018 , t=2018-2007]
Then, the expected value of card in 2018 :-
[tex]f(11)=250(1-0.002)^{11}\\\\\Rightarrow\ f(11)=250(0.978218685265)\\\\\Rightarrow\ f(11)=244.554671316\approx244.55[/tex]
Hence,Zhang expect the card to be $244.55 in 2018.