So after one month, FE (fitness explosion) costs $26 and Fitquest is $70; two months it's FE = $52, FQ = $85; three months it's FE = $78, FQ = $100; four months FE = $104, FQ = $115; five months FE = $130, FQ = $130. So answer C. 5 months is correct.
Given:
Initial mass, m₀ = 23 g
Decay constant, k = 0.13
Exponential decay obeys the equation
![m(t)=m_{0} e^{-kt}](https://tex.z-dn.net/?f=m%28t%29%3Dm_%7B0%7D%20e%5E%7B-kt%7D)
where t = time, days
For half life, the mass is m = m₀/2.
Therefore
![e^{-0.13t} = \frac{1}{2} \\ -0.13t = ln(0.5)\\t= \frac{ln(0.5)}{-0.13} =5.33](https://tex.z-dn.net/?f=e%5E%7B-0.13t%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20-0.13t%20%3D%20ln%280.5%29%5C%5Ct%3D%20%5Cfrac%7Bln%280.5%29%7D%7B-0.13%7D%20%3D5.33)
Answer: The half life is 5.33 days
Given below is the answer
Answer:
9......
Step-by-step explanation:
A right-angled triangle in the image below will be formed.
Now, we will make use of the trigonometric rule......
But before that, how do know the perfect rule to apply so as to solve the problem?
#. The side facing the angle 65 deg. is called the Opposite side
#. The side facing the angle 90 deg. is called the Hypotenuse
#. While the last side is called the Adjacent
Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule
Sine(θ)=Opposite/Hypotenuse
Therefore,
Sine 64 = Opposite/10
Opposite = 10 x sine64
Opposite = 10 x 0.9
Opposite = 9cm
Answer:
SIMPLE ONE-TIME INTEREST
I
=
P
0
r
A
=
P
0
+
I
=
P
0
+
P
0
r
=
P
0
(
1
+
r
)
I is the interest
A is the end amount: principal plus interest
P0 is the principal (starting amount)
r is the interest rate (in decimal form. Example: 5% = 0.05
Step-by-step explanation: