Answer:
x= 18
Step-by-step explanation:
180- 87 - 45= 48
3x-6 = 48
3x=54
x=18
Answer:
56.14
Step-by-step explanation:
Answer:
![\large \boxed{\text{162 in}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Ctext%7B162%20in%7D%7D)
Step-by-step explanation:
1 yd = 3 ft and 1 ft = 12 in, so
![\text{Inches} =\text{$4\frac{1}{2}$ yd} \times \dfrac{\text{3 ft}}{\text{1 yd}} \times \dfrac{\text{12 in}}{\text{1 ft}} = \textbf{162 in}\\\\\text{The length of their rectangle is $\large \boxed{\textbf{162 in}}$}](https://tex.z-dn.net/?f=%5Ctext%7BInches%7D%20%3D%5Ctext%7B%244%5Cfrac%7B1%7D%7B2%7D%24%20yd%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B3%20ft%7D%7D%7B%5Ctext%7B1%20yd%7D%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B12%20in%7D%7D%7B%5Ctext%7B1%20ft%7D%7D%20%3D%20%5Ctextbf%7B162%20in%7D%5C%5C%5C%5C%5Ctext%7BThe%20length%20of%20their%20rectangle%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B162%20in%7D%7D%24%7D)
Answer:
.
Step-by-step explanation:
We have been given that
and
. We are asked to write N as a discrete exponential function of t of the form
.
Using our given information, we can set an equation as:
![N(0)=A(1+r)^0](https://tex.z-dn.net/?f=N%280%29%3DA%281%2Br%29%5E0)
![84=A*1](https://tex.z-dn.net/?f=84%3DA%2A1)
![84=A](https://tex.z-dn.net/?f=84%3DA)
Using our given information, we will get:
![N(11)=A(1+r)^{11}](https://tex.z-dn.net/?f=N%2811%29%3DA%281%2Br%29%5E%7B11%7D)
Substitute the given values:
![130=84(1+r)^{11}](https://tex.z-dn.net/?f=130%3D84%281%2Br%29%5E%7B11%7D)
![\frac{130}{84}=\frac{84(1+r)^{11}}{84}](https://tex.z-dn.net/?f=%5Cfrac%7B130%7D%7B84%7D%3D%5Cfrac%7B84%281%2Br%29%5E%7B11%7D%7D%7B84%7D)
![1.5476190476190476=(1+r)^{11}](https://tex.z-dn.net/?f=1.5476190476190476%3D%281%2Br%29%5E%7B11%7D)
Switch sides:
![(1+r)^{11}=1.5476190476190476](https://tex.z-dn.net/?f=%281%2Br%29%5E%7B11%7D%3D1.5476190476190476)
Take 11th root of both sides:
![\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}](https://tex.z-dn.net/?f=%5Csqrt%5B11%5D%7B%281%2Br%29%5E%7B11%7D%7D%3D%5Csqrt%5B11%5D%7B1.5476190476190476%7D)
![1+r=1.04050024747304](https://tex.z-dn.net/?f=1%2Br%3D1.04050024747304)
![r=1.04050024747304-1](https://tex.z-dn.net/?f=r%3D1.04050024747304-1)
![r=0.04050024747304](https://tex.z-dn.net/?f=r%3D0.04050024747304)
![r\approx 0.0405](https://tex.z-dn.net/?f=r%5Capprox%200.0405)
Therefore, our required function would be
.
Written as a fraction 3/50