Answer:
<h2>$128847</h2>
Step-by-step explanation:
given Principle at 31250
and rate = 12%
and time 12.5 years
the amount would be given by the equation
plug in values to get
end up with value $128847
:<span> </span><span>You need to know the derivative of the sqrt function. Remember that sqrt(x) = x^(1/2), and that (d x^a)/(dx) = a x^(a-1). So (d sqrt(x))/(dx) = (d x^(1/2))/(dx) = (1/2) x^((1/2)-1) = (1/2) x^(-1/2) = 1/(2 x^(1/2)) = 1/(2 sqrt(x)).
There is a subtle shift in meaning in the use of t. If you say "after t seconds", t is a dimensionless quantity, such as 169. Also in the formula V = 4 sqrt(t) cm3, t is apparently dimensionless. But if you say "t = 169 seconds", t has dimension time, measured in the unit of seconds, and also expressing speed of change of V as (dV)/(dt) presupposes that t has dimension time. But you can't mix formulas in which t is dimensionless with formulas in which t is dimensioned.
Below I treat t as being dimensionless. So where t is supposed to stand for time I write "t seconds" instead of just "t".
Then (dV)/(d(t seconds)) = (d 4 sqrt(t))/(dt) cm3/s = 4 (d sqrt(t))/(dt) cm3/s = 4 / (2 sqrt(t)) cm3/s = 2 / (sqrt(t)) cm3/s.
Plugging in t = 169 gives 2/13 cm3/s.</span>
It's supposed to be Triangle ZXY but it isnt in the choices.
Using it's concept, there is a 0.125 = 12.5% probability that Craig will pitch it between 70 and 75 mph.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
From the histogram, the number of pitches is given by:
1 + 5 + 3 + 4 + 1 + 2 = 16.
Of those, 2 were between 70 and 75 mph, hence the probability is given by:
p = 2/16 = 1/8 = 0.125.
There is a 0.125 = 12.5% probability that Craig will pitch it between 70 and 75 mph.
More can be learned about probabilities at brainly.com/question/14398287
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