1) a colony of an animal begins with one pair of mature animals, which will prod
ID: 2833689 • Letter: 1
Question
1)a colony of an animal begins with one pair of mature animals, which will produce a pair of offspring (on male, one female) after two months. Assume that all animals mature in 2 months and produce a pair of offspring (one male, one female) after 4 months. If no animals ever die, how many pairs of mature animals are there after 10 months?
2)Suppose that you just received a job offer with a starting salary of $55000 per year and a guaranteed raise of $2200 per year. How many years will it take before yoir aggregate salary is 805200?
Explanation / Answer
Ans-1) In 2 months=2+2*2=2+4
in 4 months=2+4+8
in 6 months=2+4+8+16
Similarly in 10 months total animals= 2+4+8+16+32=62
So total animals will be 62 in 10 months.
ANS-2)IN FIRST YR SALARY =$55000
in second yr salary = $55000+$2200
in 3rd yr salary = $55000+$2200*2
similarly in n yr salary = $55000+$2200*(n-1)
taking sum of n yr ,total = $55000*n+$2200*n*(n-1)/2
equating the average salary of n yr
825200 = [55000*n+2200*n(n-1)/2]/n
825200*n = 55000*n+1100*n(n-1)
750200n=1100n^2-1100n
n=749100/1100
n=681
therefore after 681 yr the average salary is 805200
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