Since this is a problem in exponential growth/decay, y = ab^x is the formula that will be used to solve this problem.
The initial value, "a", is the value you start out with and in this case, it is $2000.
The growth/decay factor is what "b" represents, and it is 4%. We need to change the percentage into a decimal, so we will take the percent symbol, change it into a decimal, and move it two places to the left. This is make it 0.04. The problem also mentions interest, implying an exponential growth. Therefore, you will add 0.04 by 1: 1+0.04 = 1.04.
The "x" represents an amount of time. It is 5 years. The equation should be written like this:
y = 2000(1.04)^5
y = 2433.30. When rounded to the nearest dollar, it is $2433.
The answer should be 6 I.e 6^1 as with indices rules you need to subtract the powers (-3-(-4)) which equals 1
If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.
Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.
Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:
20=1500*
20=1500*
20/1500=
0.133=
take log both sides
log(0.133)=log
-------1
log(0.133)=nlog (0.94)
put the values log values:
log(0.133)=-0.8761
log(0.94)=-0.0268
Taking 1
-0.8761=n*(-0.0268)
n=0.8761/0.0268
n=3.269
Hence to reach level of 20 the population takes 3.2 years.
Learn more about logarithm at brainly.com/question/25710806
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Answer:
301.59
Step-by-step explanation:
V=1/3hπr²
sorry in advance if its wrong, this is my 1st time answering this type of question. that's what i got for the answer
Answer:
10
Step-by-step explanation:
There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.