Answer:
and 
Step-by-step explanation:
The equation of curve is

We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
![2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})](https://tex.z-dn.net/?f=2%5B2%28x%5E2%2By%5E2%29%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2%2By%5E2%29%5D%3D25%282x-2y%5Cfrac%7Bdy%7D%7Bdx%7D%29)

The point of tangency is (-3,1). It means the slope of tangent is
.
Substitute x=-3 and y=1 in the above equation.





Divide both sides by 130.

If a line passes through a points
with slope m, then the point slope form of the line is

The slope of tangent line is
and it passes through the point (-3,1). So, the equation of tangent is


Add 1 on both sides.


Therefore,
and
.
The interest in the first month is given as $ 97.1. The principal balance in the second question is $15,030.02
<h3>How to solve for the interest in the first month</h3>
1. We have to solve for the cost of the car
This would be = 19,725*(1.0475)
= 20,661.9375
There is a Down payment = 2,175
balance would be 20661.9375-2,175 = 18,486.94
average rating interest of new car = 6.30%
So the interest accrued in first month = 18,486.94x0.063/12 = $ 97.1
2. cost = 15867
sales tax = 5.25%
10 percent down payment
5.25/100 = 0.0525
cost of car = 15867 + (15867 * 0.0525)
= 16700 dollars
10% of 16700 dollars
= 1670 dollars
principal balance = 16700 - 1670
= $15,030.02
Read more on interest rate here
brainly.com/question/25793394
Hello from MrBillDoesMath!
Answer:
x < -2
Discussion:
7 < 3 - 2x => Add 2x to both sides
7 + 2x < 3 - (2x - 2x) => As 2x -2x = 0
7 + 2x < 3 => Subtract 7 from both sides
(7-7) + 2x < 3 - 7 => As 7-7 = 0 and 3-7 = -4
2x < -4 => Divide both sides by 2
x < -4./2 = -2
Thank you,
MrB
Here the answer is: 0.76 and 1.84
I hope I don't have to explain it again.