Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,

Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,



ln(2) = 0.06t
t = 
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.
 
        
             
        
        
        
The answer to x would be 0
        
             
        
        
        
Answer:
Ans: 29
Step-by-step explanation:
soln:
 Given,
 x=3 and y=-2
 Now,
 x^2-3xy+1/2y^2
 = 3^2-3×3×(-2) +1/2(-2)^2
 = 9+18+4/2
 = (18+36+4) /2
 = 58/2
 = 29 Ans
 
        
             
        
        
        
  &
 &  so ,
 so ,  .
 .
<u>Step-by-step explanation:</u>
Here we have , ab= 8 & a^2+b^2=16 i.e.  and
  and  .
 .
We need to find value of (a+b)^2 i.e.  :
 :
It's and identity and we know that 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
∴  &
 &  so ,
 so ,  .
 .