Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.
<h3>What is an exponential function?</h3>
An exponential function is modeled by:
In which:
- b is the rate of change, as a decimal.
In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:
The population will be of 600 when A(t) = 600, hence:
Hence:
t/8 = 3.
t = 24.
It will take 24 years for the current population of 4800 deer to reduce to 600.
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Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
9514 1404 393
Answer:
17. 5
18. 17
Step-by-step explanation:
The distance formula is used for the purpose.
d = √((x2 -x1)² +(y2 -y1)²)
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17. d = √((3-6)² +(1-5)²) = √((-3)² +(-4)²) = √(9+16) = √25 = 5
The distance between the points is 5 units.
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18. d = √((-1-7)² +(12-(-3))²) = √(64 +225) = √289 = 17
The distance between the points is 17 units.
Answer: m=23
Step-by-step explanation:
Answer:
x = 200
Step-by-step explanation:
Multiply by 4:
x + 120 + 2x = 720
3x = 600 . . . . . . collect terms, subtract 120
x = 200 . . . . . . . divide by 3
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<em>Check</em>
(200/4 +30) +(200/2) = 180
(50 +30) + 100 = 180
80 + 100 = 180 . . . . . true
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<em>Alternate solution</em>
If you like, you can simply work with the equation given.
(3/4)x + 30 = 180 . . . . collect terms
(3/4)x = 150 . . . . . . . . . subtract 30
x = 200 . . . . . . . . . . . . multiply by 4/3
