Answer:
- y = 22·e^(0.3001t), growing
- annual rate: 35%
- continuous rate: 30.01%
Step-by-step explanation:
When an exponential function is in the form ...
y = ab^t
the factor 'b' is called the growth factor. When t is in years, it is related to the annual growth rate (r) by ...
b = 1 +r
In the alternate form, this can be written ...
y = a·e^(kt)
Comparing the forms, we see that ...
b = e^k ⇒ k = ln(b)
__
<h3>(a)</h3>
y = 22·1.35^t
k = ln(1.35) ≈ 0.3001
y = 22·e^(0.3001t)
The growth factor is greater than 1, so the function is growing.
__
<h3>(b)</h3>
The annual growth rate is ...
r = 1.35 -1 = 0.35 = 35.00%
__
<h3>(c)</h3>
The continuous growth rate is ...
k = 0.3001 = 30.01%
Answer:
The sample size needed is 40000.
Step-by-step explanation:
The sample size needed is:
Use this formula to determine the sample size needed for a margin of error of 0.005
This is n when 
. So
The sample size needed is 40000.
Answer: you're gonna need to tell us the measurements of the triangle or else we can't help you find the area
The meaning of circumference is to find the distance around a circle or in other words perimeter by using the formula C=2πr or C=<span>πd.
On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2</span><span>πr.
C=2</span><span>πr
C=2(3.14)(3)
C=18.84 meters
The circumference of the given circle is 18.84 meters.</span>
Let's solve for x:
100x=1000
Divide by 100
x=10
You should expect to win 10 times.
