This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.
Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,
- where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )
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Thus, the function 
can model this problem. The forest after t years should have P( t ) number of pine trees remaining.
In the given mathematical
value of 51, 487 to round off this number to the nearest thousand, we can
elaborate the number values using the expanded form to clearly see the order
position:
<span><span>1. </span><span> 50, 000 = ten
thousands</span></span>
<span><span>2. </span><span> 1, 000 =
thousands</span></span>
<span><span>3. </span><span> 400 = hundreds</span></span>
<span><span>4. </span><span> 80 = tens</span></span>
<span><span>5. </span><span> 7 = ones</span></span>
Now we can observe the
numerical value of 51, 487 than 1, 000 is the number in which belongs to the
thousands’ position hence since the nearest number is 400 the value will be 51,
000.
Answer:
r =29.82
Step-by-step explanation:
r/7.1 = 4.2
Multiply each side by 7.1
r/7.1 *7.1 = 4.2*7.1
r =29.82
