Exponential word problems almost always work off the growth / decay formula, <span>A = Pert</span>, where "A" is the ending amount of whatever you're dealing with (money, bacteria growing in a petri dish, radioactive decay of an element highlighting your X-ray), "P" is the beginning amount of that same "whatever", "r" is the growth or decay rate, and "t<span>" is time. The above formula is related to the </span>compound-interest formula, and represents the case of the interest being compounded "continuously".
Note that the variables may change from one problem to another, or from one context to another, but that the structure of the equation is always the same. For instance, all of the following represent the same relationship:
<span>A<span> = </span><span>Pe<span>r<span>t </span></span></span></span>...or... <span>A<span> = </span><span>Pe<span>kt</span></span></span><span> ...or... </span><span>Q<span> = </span>Ne<span>kt</span></span><span> ...or... </span><span><span>Q<span> = </span>Q</span>0<span>e<span>kt</span></span></span>
<span>...and so on and so forth. No matter the particular letters used, the green variable stands for the ending amount, the blue variable stands for the beginning amount, the red variable stands for the growth or decay constant, and the purple variable stands for time. Get comfortable with this formula; you'll be seeing a lot of it.</span>
I hope this is useful !!!^_~!!!
Answer:
Olden and Bryson travelled miles
Step-by-step explanation:
Given:
Length of the Appalachian trail = 12 2/5 miles.
Stopped after hiking 5/8 of the way through the trail.
To Find:
Miles had they travelled = ?
Solution:
Let the distance travelled by olden and Bryson be x,
Then
x = of the Length of the Appalachian trail
x = of
Answer:
D
Step-by-step explanation:
Distribute 1/2 to 2x and -6.
Then you are left with x-3=-6
Add 3 to both sides and you are left with the answer
x=-3
So option D is correct
Answer:
Probability = 0.2865
Step-by-step explanation:
There are 65 accidents per year. We know that there are 52 weeks in a year, so let us determine the number of accidents in a week.
65/52 = 1.25 accidents in a week
If we use Poisson distribution, remember that X = the number of occurrences of a particular event in an interval of time or space. In this case X = 0, as we need to find the probability of there being no accidents. Our set up...
P(X = x) = λ^x * e^-λ / x!,
1 week => λ = 1.25,
P(X = 0) = 1.25^0 * e^-1.25/0!
= 1 * e^-1.25
= 1/e^1.25 ≈ 0.2865
This is what a local maximum is:
In mathematical analysis<span>, the </span>maxima and minima<span> (the respective plurals of </span>maximum<span> and </span>minimum<span>) of a </span>function<span>, known collectively as </span>extrema<span> (the plural of </span>extremum<span>), are the largest and smallest value of the function, either within a given range (the </span>local<span> or </span>relative<span> extrema) or on the entire </span>domain of a function<span> (the </span>global<span> or </span>absolute<span> extrema).</span>[1][2][3] Pierre de Fermat<span> was one of the first mathematicians to propose a general technique, </span>adequality<span>, for finding the maxima and minima of functions.
I don't know the answer but hope this helps you figure it out.</span>