Answer:
110 walnuts
Step-by-step explanation:
6 bags -> 330 walnuts
Divide 6:
1 bag -> ![330\div 6=55](https://tex.z-dn.net/?f=330%5Cdiv%206%3D55)
Multiply 2:
2 bags -> ![55\times 2 =110](https://tex.z-dn.net/?f=55%5Ctimes%202%20%3D110)
Answer:
4.6190
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Answer:
The future value of this initial investment after the six year period is $2611.6552
Step-by-step explanation:
Consider the provided information.
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.
Future value of an investment: ![FV=P(1+r)^n](https://tex.z-dn.net/?f=FV%3DP%281%2Br%29%5En)
Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.
9% compounded semiannually for 6 years.
Therefore, the value of r is: ![r=\frac{0.09}{2}=0.045](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B0.09%7D%7B2%7D%3D0.045)
Number of periods are: 2 × 6 = 12
Now substitute the respective values in the above formula.
![FV=1540(1+0.045)^{12}](https://tex.z-dn.net/?f=FV%3D1540%281%2B0.045%29%5E%7B12%7D)
![FV=1540(1.045)^{12}](https://tex.z-dn.net/?f=FV%3D1540%281.045%29%5E%7B12%7D)
![FV=1540(1.69588)](https://tex.z-dn.net/?f=FV%3D1540%281.69588%29)
![FV=2611.6552](https://tex.z-dn.net/?f=FV%3D2611.6552)
Hence, the future value of this initial investment after the six year period is $2611.6552
This is the concept of algebra, to get the slope of the line we need to rewrite the equation in slope intercept form y=mx+c, where m=slope, c=y-intercept.
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7