Answer:
Interest rate is about 12.246%
The initial deposit doesn't matter because when you divide both sides by the initial deposit you're always left with (1+i)ⁿ=2
Step-by-step explanation:
![4000(1+i)^6=8000\\(1+i)^6=2\\1+i=\sqrt[6]{2} \\1+i=1.122462048\\i=.12246](https://tex.z-dn.net/?f=4000%281%2Bi%29%5E6%3D8000%5C%5C%281%2Bi%29%5E6%3D2%5C%5C1%2Bi%3D%5Csqrt%5B6%5D%7B2%7D%20%5C%5C1%2Bi%3D1.122462048%5C%5Ci%3D.12246)
Hey there!
Let x be boy 1's age, and y be boy 2's age (younger).
Firstly, we know that x+y=24
6y-4=3x+5 <== we have this right here. (using the rules given by the question)
We can use all the equations to help find the answer.
x+y=24
x+y (-y)= 24(-y)
x=24-y
Plug that into x in the equation we made above.
6y-4= 3(24-y)+5
6y-4= 72-3y+5
Add 4 to each side.
6y= 81 -3y
9y=81
y=9
We know the younger boys age is 9.
We can plug that in to find the older one's age.
x+9= 24
x= 15
The boy's ages are 9 and 15.
I hope this helps!
~kaikers
Answer: 9 girls
Step-by-step explanation: 8 originally. 8-5 is 3. 6 more come. 3 + 6 Is 9. So 9. Also nice picture