Given :
Two equation and
.
To Find :
The point of intersection of these lines .
Solution :
We will use elimination method :
From equation 1 :
Putting value of in equation 2 we get :
Putting value of in equation 1 we get :
Therefore , point of interaction is .
Hence , this is the required solution .
Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the inequality
All we need is to find any random value of 'x' and then solve the inequality.
For example, putting x=3
So, at x = 3, the calculation shows that the value of y must be less
than 1 i.e. y<1 in order to be the solution.
Let us take the random y value that is less than 1.
As y=0.9 < 1
so putting y=0.9 in the inequality
Means at x=3, and y=0.9, the inequality is satisfied.
Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:
We can divide 340 from both sides, and simplify the right side to 21 divided by 17:
Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.