Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
I will assume it is 2.5% interest rate over 2 years and not per year. If this isn’t the case then let me know.
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Well $1250 divided by 100 = $12.50
This is 1%-
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To make 2.5% we do-> $12.50 x 2.5= $31.25
This makes our interest rate $31.25
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To get our total amount.....
$1250 + $31.25 = $1281.25
(3x +3) (x - 4)
3x(x - 4) + 3(x - 4)
3x^2 - 12x + 3x - 12
3x^2 - 9x - 12
