The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.
0≤k. Knives sold cannot be negative.
So the range of profit or p is:
p=[-500, +oo)
Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.
4000=200k-500
4500=200k
k=22.5
Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100
She has paid $460 after joining the gym for a year. First there is the joining fee of $100. Then $30 a month for a year is 30 x 12 which equals $360.
Answer:
8
Step-by-step explanation:
This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.
In this problem, we see that 6 and x are the legs and 10 is the hypothenuse. We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:
6^2 + x^2 = 10^2
which further simplifies to:
36 + x^2 = 100
x^2 = 64
and so x would equal 8 (or -8, but it is impossible to have a side length of -8).
Therefore, the missing side is 8.
Answer:
r= d/2 => 12/2 => 6
a= πR²
a= 3.14×{6}²
a= 113.04 square yard (yd²)
or
a= 94.51 m²
