![2^{-5} = \dfrac{1}{2^5} = \dfrac{1}{32}](https://tex.z-dn.net/?f=2%5E%7B-5%7D%20%3D%20%5Cdfrac%7B1%7D%7B2%5E5%7D%20%3D%20%5Cdfrac%7B1%7D%7B32%7D)
![3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}](https://tex.z-dn.net/?f=3%5E%7B-2%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%5E2%7D%20%3D%20%5Cdfrac%7B1%7D%7B9%7D)
![5^{-4} = \dfrac{1}{5^4} = \dfrac{1}{25^2} = \dfrac{1}{625}](https://tex.z-dn.net/?f=5%5E%7B-4%7D%20%3D%20%5Cdfrac%7B1%7D%7B5%5E4%7D%20%3D%20%5Cdfrac%7B1%7D%7B25%5E2%7D%20%3D%20%5Cdfrac%7B1%7D%7B625%7D)
![(3^3)^{-2} = 3^{-6} = \dfrac{1}{3^6} = \dfrac{1}{9^3} = \dfrac{1}{729}](https://tex.z-dn.net/?f=%283%5E3%29%5E%7B-2%7D%20%3D%203%5E%7B-6%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%5E6%7D%20%3D%20%5Cdfrac%7B1%7D%7B9%5E3%7D%20%3D%20%5Cdfrac%7B1%7D%7B729%7D)
![\dfrac{1}{4^{-4}} = 4^4 = 16^2 = 256](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%5E%7B-4%7D%7D%20%3D%204%5E4%20%3D%2016%5E2%20%3D%20256)
![\dfrac{1}{2^{-5}} = 2^5 = 32](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%5E%7B-5%7D%7D%20%3D%202%5E5%20%3D%2032)
![(5^{-3})^{-2}=5^6 = 15625 \quad](https://tex.z-dn.net/?f=%285%5E%7B-3%7D%29%5E%7B-2%7D%3D5%5E6%20%3D%2015625%20%5Cquad)
needed the calculator for that one
![\dfrac{4}{5^{-2}} = 4 \cdot 5^{2} = 4 \cdot 25 =100](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B5%5E%7B-2%7D%7D%20%3D%204%20%5Ccdot%205%5E%7B2%7D%20%3D%204%20%5Ccdot%2025%20%3D100)
![3^{6} \times 3^{-2} = 3^{6 - 2} = 3^4 = 9^2=81](https://tex.z-dn.net/?f=3%5E%7B6%7D%20%5Ctimes%203%5E%7B-2%7D%20%3D%203%5E%7B6%20-%202%7D%20%3D%203%5E4%20%3D%209%5E2%3D81)
![4^{-8} \times 4^5 = 4^{-3} = \dfrac{1}{4^3} = \dfrac{1}{64}](https://tex.z-dn.net/?f=4%5E%7B-8%7D%20%5Ctimes%204%5E5%20%3D%204%5E%7B-3%7D%20%3D%20%5Cdfrac%7B1%7D%7B4%5E3%7D%20%3D%20%5Cdfrac%7B1%7D%7B64%7D)
Answer:
The interest earned is $421.2.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this question:
![P = 2880, I = 0.045, t = 3 + \frac{1}{4} = 3.25](https://tex.z-dn.net/?f=P%20%3D%202880%2C%20I%20%3D%200.045%2C%20t%20%3D%203%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%203.25)
So
![E = 2880*0.045*3.25](https://tex.z-dn.net/?f=E%20%3D%202880%2A0.045%2A3.25)
![E = 421.2](https://tex.z-dn.net/?f=E%20%3D%20421.2)
The interest earned is $421.2.
Answer:
C) 1/2
Step-by-step explanation:
Here is a diagram:
In the future I would recommend Desmos Graphing Calculator