After every month's withdrawals, 4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
Answer:
(a) (5, -3)
Step-by-step explanation:
The "substitution method" for solving a system of equations requires that you write an expression that can be substituted for a variable in one or more of the other equations in the system.
<h3>Expression to substitute</h3>
The given equations are ...
We notice the first equation gives an expression for y. This is exactly what we want to substitute for y in the second equation.
<h3>Substitution</h3>
When the expression (x-8) is substituted for y in the second equation, you get ...
2x +3(x -8) = 1
This simplifies to ...
5x -24 = 1
<h3>Solution</h3>
This 2-step equation can now be solved in the usual way:
5x = 25 . . . . . . add 24 to isolate the variable term
x = 25/5 = 5 . . . . . divide by the coefficient of x
Note that we now know what the correct answer choice is.
Using the expression for y, we find ...
y = x -8 = 5 -8 = -3
The solution is (x, y) = (5, -3).
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The attached graph confirms this solution.
Answer:
There is a horizontal shift.
Step-by-step explanation:
Replacing x in a function formula with x - 8 moves the graph 8 units to the <u>right</u>.
In the attached image, y = sin(x) is light green, y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.
The work is done on the toy car is 164.4 J .
<h3>How to calculate work done?</h3>
We are aware that the definition of work is the multiplication of the magnitude of the displacement (d) and the component of the force acting in the displacement direction.
When an object moves over a distance while being applied with force, the work is considered to have been completed.
Three categories can be used to classify the type of labor performed. Positive work, negative work, and zero work are the three types. The angle between force and displacement determines the kind of work that is done. Positive work is defined as any work that causes an object to move in the direction of the applied force.
Given ,
Work = force * distance
Force = 5.2 N
Distance = 32 m
So ,
Work = 5.2 * 32
= 166. 4 J
Therefore the work is done is 164.4 J
To learn more about work done refer to:
brainly.com/question/25816840
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