Answer:
y = -5x - 1
Step-by-step explanation:
Let the equation of a line parallel to the given line is,
y - y' = m(x - x')
Where m = slope of the line
And line passes through (x', y')
Equation of a line has been given as,
5x + y = 4
y = -5x + 4
Slope of this line = -5
By the property of parallel lines "slope of the parallel lines are same",
m = -5
Parallel line passing through (-1, 4) and slope 'm' = -5 will be,
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 5 + 4
y = -5x - 1
Therefore, equation of the parallel line will be,
y = -5x - 1
Based on the information given, it should be noted that the cost of the pretzel is $0.04.
<h3>How to solve an equation.</h3>
Let the coke be represented by c.
Let the pretzel be represented by p.
Based on the information,
c = p + 2 ..... i
c + p = 2.08 ... ii
p + 2 + p = 2.08
2p + 2 = 2.08
2p = 2.08 - 2
2p = 0.08
p = 0.08/2 = 0.04
Therefore, c = 2 + 0.04 = 2.04
Learn more about equations on:
brainly.com/question/14323743
Answer:
the answer is A
when you decide both sides with (1+rt)
Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
![A(t) = A(0)(1 - r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20-%20r%29%5Et)
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.
Hence, the value of the car in 4 years is given by:
![A(t) = A(0)(1 - r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20-%20r%29%5Et)
![A(4) = 13850(0.9)^4](https://tex.z-dn.net/?f=A%284%29%20%3D%2013850%280.9%29%5E4)
A(4) = 9087.
More can be learned about exponential functions at brainly.com/question/25537936