Answer:
The decay rate is 5%.
Step-by-step explanation:
Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function
........... (1)
Comparing this equation with the original equation given as
............ (2) we get,
⇒ 
⇒ r = 5%.
Therefore, the decay rate is 5%. (Answer)
The balance after 8 years is $22,942.67
<h3>
What is the balance after 8 years?</h3>
We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:
B = $7500*(1 + 15%/100%)^t
B = $7500*(1.15)^t
The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:
B = $7500*(1.15)^8 = $22,942.67
So the correct option is the last one.
If you want to learn more about exponentials:
brainly.com/question/2456547
#SPJ1
1.) 11 - 3 4/12
2.) 11 - 3 1/3
3.) 11/1 - 3 1/3
4.) 33/3 - 10/3
5.) 23/3 or 7.7 or 7 2/3 is your answer, depending on how you want it
Answer: Brielle will run the marathon faster.
Brielle = 104.8 minutes
Joshua = 157.2 minutes
Step-by-step explanation:
Speed rate = distance /time
Brielle = 1.25 /10 = 0.125 miles per minute
Joshua = 1.5/18 = 0.083333 =1/12 miles per minute
Since 0.125 (Brielle) > 1/12 (Joshua)
Brielle will run the marathon faster.
To calculate the time that takes each one to run the entire race (13.1 miles)
Time= distance / speed
- Brielle = 13.1 /0.125 = 104.8 minutes
- Joshua = 13.1 / (1/12)= 157.2 minutes
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
Write in y = mx + b form
here, b ----> y intercept
2y - 2x = 8
2y = 2x + 8 {Divide the equation by 2}
y = x + 4
y-intercept = 4
