Answer:
Step-by-step explanation:
From the given information:
r = 10 cos( θ)
r = 5
We are to find the the area of the region that lies inside the first curve and outside the second curve.
The first thing we need to do is to determine the intersection of the points in these two curves.
To do that :
let equate the two parameters together
So;
10 cos( θ) = 5
cos( θ) = 

Now, the area of the region that lies inside the first curve and outside the second curve can be determined by finding the integral . i.e









The diagrammatic expression showing the area of the region that lies inside the first curve and outside the second curve can be seen in the attached file below.
Answer: The answer is (d) 
Step-by-step explanation: Given equation to be factored is

The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.

So, the given equation can be factorised using the above rule. The factorisation is as follows.

Thus, the correct option is (d).
Answer: n=6
Step-by-step explanation:
2^3 x 4^3 = 2^3 x 2^n = 2^9
(2×2×2) ×(4×4×4) = (2x2x2) ×2^n=(2x2x2x2x2x2x2x2x2)
8 x 64 = 8x 2^n = 512
512= 8x 2^n = 512
divide all through by 8 so that 2^n can stand alone
512/8 = (8x 2^n)/8 = 512/8
64 = 2^n = 64
express 64 as a base of 2
2^6 = 2^n = 2^6
since they all have same base, cancel out the base.
therefore,
6=n=6
n = 6
Answer:
$421.30
Yearly Componded Interest
$250 * 19% = $47.50 = $297.50 <-- Year One Balance
$297.50 * 19% = $56.53 = $354.03 <-- Year Two Balance
$354.03 * 19% = $67.27 = $421.30 <-- Year Three Balance