Answer:
(1/2) and 9/10
Step-by-step explanation:
Given:
To find:
The value of 
.
Solution:
We have,
It can be written as
Using property of log, we get
![[\because \log_aa^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_aa%5Ex%3Dx%5D)
Now, differentiate both sides with respect to x.
![[\because \dfrac{d}{dx}(Constant)=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Bd%7D%7Bdx%7D%28Constant%29%3D0%5D)
Therefore, the value of is 0.
The answer is 280 times, because 50 x 10 = 500, and the coin is fair, so you have to do 28 x 10, which equals 280. So the answer is 280 times. :D Glad I could help!
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $300
r = 10% = 10/100 = 0.1
n = 2 because it was compounded 2 times in a year(6 months).
t = 3 years
Therefore,
A = 300(1 + 0.1/2)^2 × 3
A = 300(1 + 0.05)^6
A = 300(1.05)^6
A = $402.03
Answer:
<h2>k > 4.4</h2>
Step-by-step explanation:
