To find the point of intersection, you have to set them equal to each other.

To find the y-value, plug in 2 into one of the equations:
y = 2 - 5
y = -3
Point of intersection: (2, -3)
Answer:
10.24 years
Step-by-step explanation:
The computation of the time period is as follows:
As we know that
Amount = Principal × (1 + rate of interest)^time period
£8000 = £4000 × (1 + 0.07)^time period
£8,000 ÷ £4,000 = 1.07^time period
2 = 1.07^time period
Now apply the log to the both sides
log 2 ÷ log 1.07 = time period
= 10.24 years
Answer:
The speed from the observer is 8 mph.
Step-by-step explanation:
When the boat is going downstream with full force, its speed will be the one the oarsman can row on still water added by the flow of the river. In this case he can row the boat at speed of 3 mph, while the stream is 5 mph, so the speed from the observer standpoint is:

The speed from the observer is 8 mph.
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
.
Answer:
59
Step-by-step explanation: