Can someone explain to me how they got the answer ?

Mathematics
Tutor: None Selected Time limit: 1 Day

For each of the following functions C = C(t), find the value of C(0), reporting the answer rounded to two decimal places. Use your calculator where it is appropriate.
(a)     C = 0.8 + 2.79e -0.34t
C(0) = (No Response)  

3.59

 

(b)    
C = 
12.38
0.08 + 0.58t

C(0) = (No Response)  

11.46

 

(c)    
C = 
t − 9
t + 9

C(0) = (No Response)  

-3.00

 

(d)     C = 2 × 0.5t / 5730

C(0) = (No Response)  

2.00

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

(a) C = 0.8 + 2.79e^ -0.34t
C(0) = 0.8 + 2.79  e^ -0.34*0

        = 0.8 + 2.79  e^ 0

       = 0.8 + 2.79  *1..............................(because e^0 =1)

       = 3.59.................................answer




(b) 

C =  12.38 / 0.08 + 0.58^t

C(0) =  12.38 / 0.08 + 0.58^0

         = 12.38 / 0.08 + 1 ................................(any number^0 =1)

         = 12.38 / 1.08

         =11.46.................................answer




c)

C = t-9 /t+9

C(0) = 0-9/0+9

        = -9/9

        = -1.................................answer



(d) C = 2 × 0.5^(t / 5730)
     

C(0) = 2 × 0.5^(0/ 5730)

        = 2 × 0.5^0

        = 2 *1

         = 2.................................answer



Please let me know if you need any clarification. I'm always happy to answer your questions.....thank you
Sep 15th, 2015

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