Answer: x = 29 and y = 28
Step-by-step explanation:
Opposite angles in parallelogram are equal.
So,
A and C are opposite angles.
B and D are opposite angles.
4x = 4y + 4
3y - 20 = 2x + 6
Solve these two equations to find x and y.
Using an exponential function, it is found that the decay rate is of 6.24% a year.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
The half-life is of 10.75 years, hence A(10.75) = 0.5A(0) and this is used to find the decay rate r.
1 - r = 0.9376.
r = 1 - 0.9376.
r = 0.0624.
The decay rate is of 6.24% a year.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer: $5.64
<u>Step-by-step explanation:</u>
Let x represent 1 box of batteries
Let y represent 1 case of batteries
Given: 14x = 3y
Given: 158 = 14x + 3y
Use substitution: 158 = 14x + 14x
Simplify: 158 = 28x
Divide by 28: 5.64 = x
Let us assume the width of the rectangle = x meters
Then
Length of the rectangle = 2x + 2
Perimeter of the rectangle = 16 meters
Then
Perimeter = 2 (Length + width)
16 = 2(2x + 2 + x)
16 = 2(3x + 2)
16 = 6x + 4
6x = 16 - 4
6x = 12
x = 2
Then
Length of the side of the rectangle = 2x + 2
= (2 * 2) + 2
= 6
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.