The period of a sinusoid

is

, so any range such that

will give two complete periods.
The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.
Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.
The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283
Simplifying the equation,
0.035x + 319 - 0.055x = 283
Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000
Hence, the value that should be deposited to the 5.5% is $40000.
Based on the right angle triangle and the given parameters, cos K = 5/13
<h3>Trigonometric ratios</h3>
- sin = opposite / hypotenuse
- cos = adjacent / hypotenuse
- Tan = opposite / adjacent
Given parameters:
- Hypotenuse = 13
- Adjacent = 5
- Opposite = 12
Therefore,
cos K = adjacent / hypotenuse
cos K = 5/13
Learn more about right triangle:
brainly.com/question/2217700
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Answer:
C. In y^2-y=6, 6 should have been subtracted on both sides first.
Step-by-step explanation:
It is a quadratic equation so you subtract the 6 and create
y^2-y-6=0
Then you factor it to:
(y-3)(y+2)=0
The solutions then are:
y-3=0, y=3 and y+2=0, y=-2
{-2,3}
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