Answer:
The amount in the first account is $5,700
The amount in the second account is $1,300
Step-by-step explanation:
Let the mount invested in the first account be and the one invested in the second account be
.
Then the total principal is ---->(1)
The interest in the first account is
The interest in the first account is
The total interest for the year is 262.00.
This implies that:
---->(2)
We solve the two equations simultaneously to get:
and
We are given that the angle a is the right angle. So let us work from this.
ab = 12 (the vertical side of the triangle)
bc = 13 (which if drawn can be clearly observed to be the hypotenuse) = the side opposite to angle a
ca = 5 (the horizontal side of the triangle)
Since we are to find for the cosine ratio of angle c or angle θ, therefore:
cos θ = adjacent side / hypotenuse
cos θ = ca / bc
cos θ = 5 / 13
Check out the attached image below for the illustration of the triangle.
The restriction of the given equation is , other than 0≤x≤2π.
What is restriction of equation?
Restriction of the equation is the value of domain where the value is limited.
Given,
taking common, we get
we know
we get,
and the restriction is 0≤x≤2π.
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