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There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth function represents
the number of deer y in that forest after x months? Round to the nearest thousandth.
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Answer:
The expression that represents the number of deer in the forest is
y(x) = 50*(1.013)^x
Step-by-step explanation:
Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:
y(1) = 50*(1+ 0.15/12) = 50*(1.0125) = 50.625
y(2) = y(1)*(1.0125) = y(0)*(1.0125)² =51.258
y(3) = y(2)*(1.0125) = y(0)*(1.0125)³ = 51.898
This keeps going as the time goes on, so we can model this growth with the equation:
y(x) = 50*(1 - 0.15/12)^(x)
y(x) = 50*(1.013)^x
Answer:
36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.
Step-by-step explanation:
The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.
The true question should be like this:
<span>What is the center and radius of the following circle: x^2 + (y _ 6)^2 = 50,
circle quation formula is (x-a)^2 + (y-b)^2 = R², so by identifying each term, we find </span>(x-a)^2=x^2 = (x-0)^2, (y-b)^2= (y _ 6)^2, R² = 50, implies R =5sqrt(2),
it is easy to identify that the center is (a,b)= (0, 6)
the radius is R =5sqrt(2),
<u>Answer</u>:
18 clips for $7.38 is the best value deal.
<u>Step-by-step explanation:</u>
An office is restocking office supplies. The table below shows the cost for the number of boxes of paperclips. We need to find what is the best value is.
To find the best value for money we can check the price of each paperclip.
To check the price of each paper clip we can use the following formula:
Now we can calculate the best value deal as follows:
So, from looking at the prices of each paperclip we can conclude that the 18 clips for $7.38 is the best value deal.
X = -1
(-1, -5) The line is horizontal.
:) <span />
