A doctor is using an experimental treatment for a patient of his who has liver cancer. The treat involves the usage of a radioactive compound, referred to as Compound X. The treat works by embedding micro-gram dosages of Compound X insides microscopic ceramic beads. The beads are put into solution and injected straight into the tumor. Beads block blood to the tumor and slowly kill it by radiation. If the patient is injected with 89 mg of the radioactive substance, and if the substance loses 1/88 of its mass every hour, write an exponential equation of the form m(t) = A 6-t Then, determine the amount of time it takes for half of the mass to be lost (half-life). show work please ​