Answer:
1÷27
Step-by-step explanation:
the fraction bar just means to divide so 3/4 is 3÷4
For Part A, what to do first is to equate the given equation to zero in order to find your x intercepts (zeroes)
0=-250n^2+3,250n-9,000 after factoring out, we get
-250(n-4)(n-9) and these are your zero values.
For Part B, you need to square the function from the general equation Ax^2+Bx+C=0. So to do that, we use the equated form of the equation 0=-250n^2+3,250n-9,000 and in order to have a positive value of 250n^2, we divide both sides by -1
250n^2-3,250n+9,000=0
to simplify, we divide it by 250 to get n^2-13n+36=0 or n^2-13n = -36 (this form is easier in order to complete the square, ax^2+bx=c)
in squaring, we need to apply <span><span><span>(<span>b/2</span>)^2 to both sides where our b is -13 so,
(-13/2)^2 is 169/4
so the equation now becomes n^2-13n+169/4 = 25/4 or to simplify, we apply the concept of a perfect square binomial, so the equation turns out like this
(n-13/2)^2 = 25/4 then to find the value of n, we apply the square root to both sides to obtain n-13/2 = 5/2 and n is 9. This gives us the confirmation from Part A.
For Part C, since the function is a binomial so the graph is a parabola. The axis of symmetry would be x=5.
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Answer:
0.28 yr
Step-by-step explanation:
To find the doubling time with continuous compounding, we should look at the formula:
FV = future value, and
PV = present value
If FV is twice the PV, we can calculate the doubling time, t
1. Samuel's doubling time
2. Claire's doubling time
3. Samuel's doubling time vs Claire's
12.603 - 12.323 = 0.28 yr
It would take 0.28 yr longer for Samuel's money to double than Claire's.
Answer:
73.4846922835 = 73.5 and no it is not a perfect square 5400/100 = 54
By definition, the area of a circle is given by:
Where,
r: radius of the circle.
Substituting the values in the given expression, we have:
Rounding to the nearest tenth we have:
Answer:
Approximately needed:
