Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for 
we must solve the equation 
. Substracting 21100 from both sides, this equation is equivalent to 
.
Using the quadratic formula, the solutions are 
and 
. The solution 
can be neglected as the time t is a nonnegative number, therefore 
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.
Answer:
c
Step-by-step explanation:
252 = 7 *36
36 = 6 *6 = 6²
a² -b² = (a + b)(a - b)
7h² - 252k² = 7(h² - 36k²)
= 7(h² - [6k]² )
= 7(h +6k)(h - 6k)
Choice A is the only one that is changing at a constant rate. The reason is that for all three other choices the new rate is based on a different amount after the percent has been applied or the doubling of the ants has been applied. The price per day for the lunch Is constant because whatever the number of days is the amount would always stay the same for each of those days.
Answer:
a=-5
Step-by-step explanation:
subtract 3 from both sides
15=-3a
divide by -3
a=-5
