<u>Answer:</u>
Consistent and dependent
<u>Step-by-step explanation:</u>
We are given the following equation:
1.
2.
3.
For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with which is the same as the equation number 2.
There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.
Answer:
The size of Harry's loan is $9000.
Step-by-step explanation:
D(t) models Harry's remaining debt, in dollars, as a function of time t, in months that is given by :
We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.
Lets put t = 0, that shows no payments have been made.
This will get the amount of loan, before any payments.
So,
Hence, the size of Harry's loan is $9000.
<u>Given</u>:
The given expression is
We need to determine the equivalent expression.
<u>Option A:</u> -1
Solving the expression, we get;
Simplifying, we get;
Thus, the expression is not equivalent to -1.
Hence, Option A is not the correct answer.
<u>Option B</u>: 29
Solving the expression, we get;
Simplifying, we get;
Thus, the expression is equivalent to 29.
Hence, Option B is the correct answer.
<u>Option C</u>:
Let us rewrite the given expression.
Thus, the expression is equivalent to
Thus, Option C is the correct answer.
<u>Option D</u>:
Rewriting the expression, we get;
Hence, the expression is equivalent not to
Thus, Option D is not the correct answer.
<u>Option E:</u>
Multiplying the terms within the bracket, we get;
Hence, the expression is equivalent to
Thus, Option E is the correct answer.