SOLUTION: francisco was rasing afican spotted mice. they were unusual in that every two months the female had exactly two babies ---a male and female. when these babies were two monthes old,

Question 49816: francisco was rasing afican spotted mice. they were unusual in that every two months the female had exactly two babies ---a male and female. when these babies were two monthes old, they had their first babies and continued to have them every two months after that.
Francisco began with one pair of spotted mice on jan. 1 1998 and his parents made him sell all that he had on jan.1 2000, just after more babies were born since none of the mice had died, he had quite a few How many?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
francisco was rasing afican spotted mice. they were unusual in that every two months the female had exactly two babies ---a male and female. when these babies were two monthes old, they had their first babies and continued to have them every two months after that.
Francisco began with one pair of spotted mice on jan. 1 1998 and his parents made him sell all that he had on jan.1 2000, just after more babies were born since none of the mice had died, he had quite a few How many?
..................................NUMBER OF MICE
..............................MALE.......FEMALE......................TOTAL
ZERO DATE..1-JAN-98............1=2^0..........1=2^0...................2=2^1
AFTER 2 MONTHS=2*1 MONTHS......1+1=2^1.......1+1=2^1..................4=2^2
AFTER 4 MONTHS=2*2 MONTHS......2+2=2^2.......2+2=2^2..................8=2^3
AFTER 6 MONTHS=2*3 MONTHS......4+4=2^3.......4+4=2^3..................16=2^4
.........................................................................
...........................................................................
ON 1-JAN-2000
AFTER 24 MONTHS=2*12 MONTHS.....=2^12..........=2^12................=2^13
--------------------------------------------------------------------------
TOTAL NUMBER OF MICE............=2^1+2^2+2^3+2^4........+2^13...
THIS IS A GEOMETRIC PROGRESSION WITH FIRST TERM=A=2.....COMMON RATIO=R=2
AND NUMBER OF TERMS = N= 13
S=A(R^N-1)/(R-1)=2{2^13 -1}/(2-1)=2^14-2=16382
RELATED QUESTIONS
I need to create an equation for this word problem. If you put two pigs, a male and... (answered by scott8148)

Assume that you have 12 mice in the cage: 5 white males, 3 gray females, and 4 gray... (answered by edjones)

The population of mice in a particular area is growing exponentially. on January 1, there (answered by stanbon)

Megan and Sam were solving a system of equations. They both noticed that the two lines... (answered by richwmiller)

In a survey of 100 out patients who reported at a hospital on a day,it was found that... (answered by Boreal)

In a survey of 100 out-patients who reported at a hospital one day, it was found that 70... (answered by ikleyn)

In a survey of the 100 out-patients who reported at a hospital one day, it was found out... (answered by greenestamps,ikleyn)

Write a system of two equations in two unknowns. The probability that San Francisco plays (answered by Theo)

forty-five percent of households say they would feel secure if they had $50,000 in... (answered by jim_thompson5910)