Answer:
<h3>2√3</h3>
Step-by-step explanation:
The standard equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the center of the circle
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
On comparing;
r² = 12
Take the square root of both sides
√r² = √12
r = √12
r = √4*3
r = 2√3
Hence the radius of the circle is 2√3
Answer:
c=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
pull like terms from the problem to re-arrange it into a product
Answer: 64 years
Step-by-step explanation:
Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:
R1 = P(1.05)^t,
This means that after t years, the dealer would have the total amount of:
$P×1.05^t.
If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:
R2 = $P(1 + 20).
The value of t which will make both returns equal, will be;
R1 = R2.
P×1.05^t = P(1+20)
P will cancel out
1.05^t = 21
Log both sides
Log1.05^t = Log21
tLog1.05 = Log21
t = Log21/Log1.05
t = 64 years
The best time to sell the wine is therefore 64years from now.
Answer:
So, we can do it in 720 ways.
Step-by-step explanation:
We have been given total of six trophies to arrange in the top shelf of the bookcase
If we need to arrange n things in different ways we can do it in n! ways
Similarly, Here we will do it in 6! ways
n!=n(n-1)(n-2).....1
So, 6!=6 x 5 x 4 x 3 x 2 x 1=720
