Sheila is a wildlife biologist. At the beginning of each year, she tracks the wild turkey and white-tail deer population in the game reserve where she works.
At the first year Sheila counted 121212 wild turkeys, and their number increases by approximately 40\%40%40, percent each year.
At the first year Sheila counted 181818 white-tail deer, and their number increases by 101010 additional deer per year.
What is the first year in which Sheila counts more turkeys than deer?
Answers
Answer:
Step-by-step explanation:
• In 1st year :
Number of wild turkeys = 12
Number of white-tail deer = 18
• In 2nd year :
Number of wild turkeys
= (1 + 40%) × 12
= (1 + 40/100) × 12
= 140/100 × 12
= 16.8
Number of white-tail deer
= 18 + 10
= 28
• In 3rd year :
Number of wild turkeys
= (1 + 40%) × 16.8
= (1 + 40/100) × 16.8
= 140/100 × 16.8
= 23.52
Number of white-tail deer
= 28 + 10
= 38
• In 4th year :
Number of wild turkeys
= (1 + 40%) × 23.52
= (1 + 40/100) × 23.52
= 140/100 × 23.52
= 32.928
Number of white-tail deer
= 38 + 10
= 48
• In 5th year :
Number of wild turkeys
= (1 + 40%) × 32.928
= (1 + 40/100) × 32.928
= 140/100 × 32.928
= 46.0992
Number of white-tail deer
= 48 + 10
= 58
• In 6th year :
Number of wild turkeys
= (1 + 40%) × 46.0992
= (1 + 40/100) × 46.0992
= 140/100 × 46.0992
= 64.53888
Number of white-tail deer
= 58 + 10
= 68
• in 7th year :
Number of wild turkeys
= (1 + 40%) × 64.53888
= (1 + 40/100) × 64.53888
= 140/100 × 64.53888
= 90.354432
Number of white-tail deer
= 68 + 10
= 78
In the case of 7th year, we see that the number of wild turkeys is counted more than the number of white-tail deer.
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REGARDS