I have the answer attached.
The output value of a function is represented by P(200). What is the input value for this function?
1 answer:
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$ 1850 was invested in 9% account
<u>Solution:</u>
Given that
Total amount invested by man in two saving accounts = $9493
Simple interest on one account =9%
Simple interest on second account = 10%
Total interest earned = $930.80
Need to determine amount invested in 9 % account.
Let assume amount invested in account where Simple Interest is 9% = x
And assume amount invested in account where Simple Interest is 10% = y
As total amount invested in two accounts is $9493
=> x + y = 9493
=> y = 9493 - x ------(1)
As total interest earned = $930.80
On substituting value of y from equation(1) in above equation , we get
9x + 10 (9493 – x) = 93080
=> 9x + 94930 – 10x = 93080
=> -x = 93080 – 94930
=> -x = -1850
=> x = 1850
Amount invested in account where Simple Interest is 9% = x = $1850
Hence $1850 was invested in 9% account.
To get the solution of a set of equations means to get a point that satisfies both equations.
Part (1):
The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this case
Part (2):
The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutions
Part (3):
We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.
Part (1):
The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this case
Part (2):
The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutions
Part (3):
We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.