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If |2x-11 <0, then the value of x is(A) 0(B) -1/2(C) 1(D) 1/2
1 answer:
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Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:
Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:
We will simplify this first a bit by dividing 2000 by 1150 to get
To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.
Given:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
To find:
The equation of the perpendicular bisector of NY.
Solution:
Midpoint point of NY is
Slope of lines NY is
Product of slopes of two perpendicular lines is -1. So,
The perpendicular bisector of NY passes through (-4,1) with slope . So, the equation of perpendicular bisector of NY is
Add 1 on both sides.
Therefore, the equation of perpendicular bisector of NY is .