It takes 8.35 hours for the size of the sample to double
Step-by-step explanation:
The form of the continuous exponential growth model is
, where
- A is the new value
- P is the initial value
- r is the rate of growth or decay in decimal
- t is the time
∵ The growth rate is 8.3%
∴ r = 8.3 ÷ 100 = 0.083
∵ The size of the sample will doubled in t hours
∴ A = 2 P
Use the formula of the contentious exponential growth above
∵ 
- Divide both sides by P
∴ 
- Insert ㏑ in both sides
∴ 
- Remember 
because ㏑(e) = 1
∴ 
- Divide both sides by 0.083
∴ 
∴ t = 8.35 hours to the nearest hundredth
It takes 8.35 hours for the size of the sample to double
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
#LearnwithBrainly
Answer and Step-by-step explanation:
To find the range, we must plug in the values 0 to 15 into the function to find the values of f(x), which are the range.
When plugging in the values, we see that the answer should be the last one.
We start with a pay of $15.50, and it increases each time by $10, until it reaches $165.50.
<u>So, D is the answer.</u>
<u></u>
<u></u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
C, both plans will work for achieving the goal.
Step-by-step explanation:
For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.
For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.
This means that C is correct, because both plans will work for achieving the goal.
X^2-4x-32=0
(x+a)(x+b)
x^2-(a+b)x+ab
a+b=4
ab=-32
a=-b+4
(-b+4)b=-32
-b^2+4b=-32
b^2-4b-32=0
b=8,-4
If b=8, a=-4
If b=-4, a= 8
Plug in a and b to (x+a)(x+b)
x= -4, 8
These are the answers
<span> -0.315342
-12.684658</span>
