Answer:
2021
Step-by-step explanation:
w(t) = 80(0.98)^t
w(t) = 50
50/80 = (0.98)^t
5/8 = (0.98)^t
log(5/8) = log((0.98)^t)
Property of logs allows the exponent to be move to the front so,
log(5/8) = t*log(0.98)
solve for t
t = (log(5/8))/(log(0.98))
so t = 23.264
1998 + t = 2021.264
Round to 2021 because that's they year it is present in.
