Answer:6.05cm
Step-by-step explanation:
Circumference=2×π×r
38=2×22/7×r
38×7=2×22×r
266=44r
r=266/44
r=6.05cm
Step-by-step explanation:
s1 = 300
s2 = s1 × 2 = 300 × 2 = 600
s3 = s2 × 2 = s1 × 2² = 1200
sn = sn-1 × 2 = s1 × 2^(n-1)
s7 = 300 × 2⁶ = 300 × 64 = 19,200
Answer:
x=12
Step-by-step explanation:
3.6x=1.6x+24
We simplify the equation to the form, which is simple to understand
3.6x=1.6x+24
We move all terms containing x to the left and all other terms to the right.
+3.6x-1.6x=+24
We simplify left and right side of the equation.
+2x=+24
We divide both sides of the equation by 2 to get x.
x=12
Answer:
1.23d = 52
Explanation:
If 52 meters is the water level after a 23% increase, then we can say that the initial depth d added to the 23% of d is equal to 52 meters. So:
d + 23%d = 52 meters
Since 23% is equivalent to 0.23, we get:
d + 0.23d = 52
Finally, adding the like terms, we get:
(1 + 0.23)d = 52
1.23d = 52
So, the equation is:
1.23d = 52
Answer:
a. 24
b. 864
Step-by-step explanation:
a. The demand function is:
P = 60 - 2Q
When P = 12:
12 = 60 - 2Q
2Q = 60 - 12
2Q = 48
Q = 48/2 = 24
b. Consumer surplus is given as the integral of Demand function:
![CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\](https://tex.z-dn.net/?f=CS%20%3D%20%5Cint%5Climits%20%7B%5BP%28Q%29%20-%20%28p%29%28Q%29%5D%20%5C%20dQ%5C%5C)
This implies that:
