Answer:
k = 0.01592895
2016 = 107.89
Finding K
A = 76
P = 81
t = 1998 - 1994 = 4 years
P = A e ^(kt)
81 = 76 e^(k*4)
81/76 = e^(4*k)
1.065789 = e^(4k)
ln(1.065789) = ln(e^4k)
0.063715814 = ln(e^4k)
0.063715814 = 4k* ln(e) but ln(e) = 1
0.063715814 = 4k
k = 0.063715814/4
k = 0.01592895 As predicted. Don't round this. Keep it in your calculator.
Finding 2016
t = 2016 - 1994 = 22 years.
k = 0.01592895
A = 76
P = ??
P = Ae^(kt)
P = 76 e^ (0.01592895* 22)
P = 76 * e ^ 0.350436979
P = 76 * 1.419687787
P = 107.89
Which rounded = 108 million.
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