Answer:
-30.769%
Step-by-step explanation:
I assume the AED 9 is the decrease by 4
final-inital and divide that by initial
9-13/13
-4/13
-.30769 * 100%
-30.769%
Answer:
The value of y = 0
Step-by-step explanation:
Given the equation
![8^3\cdot 8^{-5}\cdot 8^{\:y}=8^{-2}](https://tex.z-dn.net/?f=8%5E3%5Ccdot%208%5E%7B-5%7D%5Ccdot%208%5E%7B%5C%3Ay%7D%3D8%5E%7B-2%7D)
Apply exponent rule: ![a^b\cdot \:a^c=a^{b+c}](https://tex.z-dn.net/?f=a%5Eb%5Ccdot%20%5C%3Aa%5Ec%3Da%5E%7Bb%2Bc%7D)
so
![8^3\cdot \:\:8^{-5}=8^{3-5}=8^{-2}=\frac{1}{8^2}=\frac{1}{64}](https://tex.z-dn.net/?f=8%5E3%5Ccdot%20%5C%3A%5C%3A8%5E%7B-5%7D%3D8%5E%7B3-5%7D%3D8%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B8%5E2%7D%3D%5Cfrac%7B1%7D%7B64%7D)
Thus, the equation becomes
![\frac{1}{64}\left(8\:^y\right)=\frac{1}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B64%7D%5Cleft%288%5C%3A%5Ey%5Cright%29%3D%5Cfrac%7B1%7D%7B64%7D)
Divide both sides by 1/64
![\frac{\frac{1}{64}\left(8\:^y\right)}{\frac{1}{64}}=\frac{\frac{1}{64}}{\frac{1}{64}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B64%7D%5Cleft%288%5C%3A%5Ey%5Cright%29%7D%7B%5Cfrac%7B1%7D%7B64%7D%7D%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B64%7D%7D%7B%5Cfrac%7B1%7D%7B64%7D%7D)
![8\:^y=1](https://tex.z-dn.net/?f=8%5C%3A%5Ey%3D1)
Solve Exponent
![8\:^y=1](https://tex.z-dn.net/?f=8%5C%3A%5Ey%3D1)
Take log of both sides
![\:log\left(8\:^y\right)\:=log\:\left(1\right)](https://tex.z-dn.net/?f=%5C%3Alog%5Cleft%288%5C%3A%5Ey%5Cright%29%5C%3A%3Dlog%5C%3A%5Cleft%281%5Cright%29)
![y\cdot \left(log\left(8\right)\right)=log\left(1\right)](https://tex.z-dn.net/?f=y%5Ccdot%20%5Cleft%28log%5Cleft%288%5Cright%29%5Cright%29%3Dlog%5Cleft%281%5Cright%29)
![y\:=\frac{log\left(1\right)}{\left(log\left(8\right)\right)}](https://tex.z-dn.net/?f=y%5C%3A%3D%5Cfrac%7Blog%5Cleft%281%5Cright%29%7D%7B%5Cleft%28log%5Cleft%288%5Cright%29%5Cright%29%7D)
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
Therefore, the value of y = 0
Answer:
Step-by-step explanation:
<h3>
Answer:</h3>
7 months
<h3>
Step-by-step explanation:</h3>
After Carter makes his $500 payment, the balance on the loan is -1596.37. We want to find the number of months (m) such that ...
... -1596.37 +250m ≥ 0
... m ≥ 1596.37/250 . . . . add 1596.37, divide by the coefficient of m
... m ≥ 6.4
The least number of months that is more than 6.4 is 7 months.
_____
<em>Comment on this answer</em>
Carter's loan balance may also be affected by interest charged on the loan amount. We don't expect those charges to be so high as to require an additional month's payment.
Answer:
B
Step-by-step explanation:
![\frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B7%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%7D%7B8%7D%20%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B2%20%7D%20%20%5C%5C%3D%20%20%20%5Cfrac%7B21%7D%7B16%7D%20%20%5C%5C%20%20%3D%201%20%5Cfrac%7B5%7D%7B16%7D%20)