Exponential decay formula is :
Where a≠0, b≠1 , b represent growth or decay factor (or rate) and x is any real number.
But if a radioactive isotope decays in half every year which means the decay factor or decay rate is 50% or 
.
So, the formula for half decay will be:
Where represent c) The rate of isotope decreases.
Answer:
272,100
This is because 62 rounds up
We can use algebra.
So, what rate time 1.20 = .80
Let x = the rate (in a decimal form)
1.20x = .80
x = .6666666666
Now, we need to multiply by 100 to get a percentage.
66.66 The price is 66% of the regular price.
They marked it off
33.33%
Answer: The length of BD is 2.4
Step-by-step explanation: BD is a leg of a right triangle, so use the
Pythagorean Theorem a² + b² = c²
BC is the hypotenuse here, so that is c = 3
We can use the segment CD as side b = 1.8
We will call BD side a, and solve to find that length.
a² + (1.8)² = 3² Square the known values of b and c
a² + 3.24 = 9 Subtract 3.24 from both sides.
a² = 9 - 3.24 Simplify
a² = 5.76 Find the square root of both sides (Calculator time!)
a = 2.4
Answer:
Part 1 - A
Answer: 301.592895 m^3
Step-by-step explanation:
The formula for the volume of a cone is calculated the formula:
<u>V = πr^2h/3 </u>
In the question, we are given the value of the radius and height in meters through which we can calculate the volume.
r = 6
h = 8
and we know the value of π to be 22/7, or 3.14285714286.
By substituting these values in the formula, we can solve for volume of the cone:
V = π (6)^2 8 / 3
Volume = 301.592895 m^3
Hope this helps!
