C is answer no explanation needed
Answer:
7.87 years
Step-by-step explanation:
#First we determine the effective annual rate based on the 9% compounded semi annual;
![i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203](https://tex.z-dn.net/?f=i_m%3D%281%2Bi%2Fm%29%5Em-1%5C%5C%5C%5C%3D%281%2B0.09%2F2%29%5E2-1%5C%5C%5C%5C%3D0.09203)
#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:
![A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs](https://tex.z-dn.net/?f=A%3DP%281%2Bi%29%5En%5C%5C%5C%5CA%3D2P%2C%20i%3Di_m%5C%5C%5C%5C16000%3D8000%281.09203%29%5En%5C%5C%5C%5C2%3D1.09203%5En%5C%5C%5C%5Cn%3D%5Cfrac%7Blog%20%5C%202%7D%7Blog%20%5C%201.09203%7D%5C%5C%5C%5C%3D7.87324%5Capprox7.87%20%5C%20yrs)
Hence, it takes 7.87 years for the principal amount to double.
F ( x ) = k * x²
f ( 4 ) = 96
96 = k * 4²
96 = 16 k
k = 96 : 16
k = 6
f ( 2 ) = 6 * 2² = 6 * 4 = 24
Answer: D ) 24
Answer:
6
Step-by-step explanation:
2 x 3 = 6