We know that
if <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then
the area of the blue circle is equal to the area of the green region
Let
x----> diameter of the blue circle
area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1
area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2
equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m
the diameter of the blue circle is √2/2 m
Answer:
2.30 years
Step-by-step explanation:
The number of fish tripled in the first year, making a total of 240 * 3 = 720 fishes.
(a) The formula for logistic equation is as the following
where P0 = 240 is the number of fishes initially, we can plug in P = 720 and t = 1 to calculate the constant k
b) Using the following formula
with P = 3000, P0 = 240, k = 1.1, we can calculate the number of years it takes to get to 3000 fishes
Answer:
S(x) = 0.046x + 0.018(1000-x)
Step-by-step explanation:
Given that:
- A fund rate: 4.6% = 0.046
- Saving account rate: 1.8% = 0.018
Let x is the amount Jacy invest in the fund so (1000-x) is the amount he invests in the savings account
So a polynomial function S(x) to represent the interest Jacy will earn in 1 year is:
S(x) = 0.046x + 0.018(1000-x)
Hope it will find you well.
we know that
Each meter of ribbon cost 
so
by proportion
Find the cost of 
meters of ribbon
therefore
<u>the answer is</u>
The ribbon cost 
