Answer:
The answer is D. ![(\frac{1}{5} )^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%20%29%5E%7B2%7D)
Step-by-step explanation:
![5^{4} *(5^{-3} )^{2}](https://tex.z-dn.net/?f=5%5E%7B4%7D%20%2A%285%5E%7B-3%7D%20%29%5E%7B2%7D)
simplify the expression by multiplying
![5^{4} *5^{-6}](https://tex.z-dn.net/?f=5%5E%7B4%7D%20%2A5%5E%7B-6%7D)
calculate the product
![5^{-2}](https://tex.z-dn.net/?f=5%5E%7B-2%7D)
express with a positive exponent using ![a^{-n} =\frac{1}{a^{n} }](https://tex.z-dn.net/?f=a%5E%7B-n%7D%20%3D%5Cfrac%7B1%7D%7Ba%5E%7Bn%7D%20%7D)
A1. 12 i.e option D
A2. 3n-7 i.e option A
A3. -6n+20 i.e option D
A4. -70 i.e option C
Step-by-step explanation:
aₙ = a₁ + (n - 1) × d
aₙ = the nᵗʰ term in the sequence
a₁ = the first term in the sequence
d = the common difference between terms
Using the above formula to solve the first part, we have :
For the second part, we have :
For the third part, we have :
For the fourth part, we have :
Answer:
25%
Step-by-step explanation:
let the Market Price of the Watch (M.P.) be x
CP for Rahim=x-[(20/100)*x]
CP = (1 *x) /5 = 4x/5
SP for Rahim = MP = x
Difference (Profit) = SP-CP = x - (4x/5) = (5x - 4x)/5 = x/5
Profit % = (Profit/CP) * 100
Profit % = (x/5)/(4x/5) * 100
Profit % = 25 %
You need two pieces and 1 has to be 2x longer than the other
set x as the smaller piece (easier to always go with the smaller value as x)
the other piece is 2x (double in size)
your equations would be 3x=240>>> x= 60
so smaller piece/ x= 60
bigger piece/ 2x= 120