Answer:
Step-by-step explanation:
<u>Given</u>
- Monthly payment P = $300
- Time t = 3 years = 36 months
- Number of payments n = 36
- Interest rate r = 12% PA = 1% per month = 0.01 times
<u>Use loan payment formula:</u>
- P = r(PV) / (1 - (1 + r)⁻ⁿ),
- where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments
<u>Substitute values and solve for PV:</u>
- 300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)
- PV = 300*(1 - 1.01⁻³⁶ )/ 0.01
- PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
<h2>Steps</h2>
- Standard Form Equation: f(x) = ax² + bx + c
So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

Next, plug (2,15) into the standard form equation and simplify:

Now, with our last two simplified equations we will create a system of equations:

Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:

From here, we can solve for the a variable. With it, just divide both sides by 3:

Now that we know the value of a, plug it into either equation to solve for the b variable:

<h2>Answer</h2>
Putting all of our obtained values together, your final answer is:

Answer:
<18 = 40
Step-by-step explanation:
<3 = <19 since they are alternate exterior angles and alternate exterior angles are equal for parallel lines cut by a transversal
<19 = 140
<19+<18 = 180 since they form a straight line
140 + <18 = 180
Subtract 140 from each side
140-140 + <18 = 180-140
<18 = 40
Answer:
Step-by-step explanation:
Here we need to find the x for the given equation so we can use the concept of the quadratic formula to solve .
comparing the given equation with an standard quadratic equation we get
a=1
b=6
c=3
so applying the quadratic formula we get


which can be further simplified to get
x=-5.45 or x=-0.55
so correct option is <em>A</em>