Answer: 6.93 years
Step-by-step explanation:
Given
Rate of interest is ![r=10\%](https://tex.z-dn.net/?f=r%3D10%5C%25)
Future value is given by ![s=1000e^{0.1t}](https://tex.z-dn.net/?f=s%3D1000e%5E%7B0.1t%7D)
For the investment to double itself, i.e. ![s=2000](https://tex.z-dn.net/?f=s%3D2000)
![\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}](https://tex.z-dn.net/?f=%5CRightarrow%202000%3D1000e%5E%7B0.1t%7D%5C%5C%5CRightarrow%202%3De%5E%7B0.1t%7D%5C%5C%5C%5C%5Ctext%7BTaking%20log%20both%20sides%7D%5C%5C%5C%5C%5CRightarrow%20%5Cln%202%3D0.1t%5C%5C%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B%5Cln%202%7D%7B0.1%7D%5C%5C%5C%5C%5CRightarrow%20t%3D6.93%5C%20%5Ctext%7Byears%7D)
It takes around 6.93 years to double the investment.
Answer:
8(3x-5)
8 is the GCF of 24 and 40 so you write 8 and in brackets you put your terms after you divide by 8 so you get 3x and -5 so it is written as 8(3x-5)
It would be - 65
7 x 1 = 7
9 x 8 = 72
7 - 72 = - 65
hope this helps you
Answer:
$14
Step-by-step explanation:
Make the variables:
x
x + 3
2x + 3 = 25
2x = 22
x = 11
11, 14