If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:
log(x^2)+log(y^3)
If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:
log(x^2 * y^3)
Answer: $57.6
Step-by-step explanation:
Given : A businesswoman sells a bag for $52.32.
Let cuurent selling price : SP = $52.32
As they are making 9% profit now.
That means SP= Cp +0.09 CP , where Cp is the cost price of bag.
i..e ![52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}](https://tex.z-dn.net/?f=52.32%3DCp%281%2B0.09%29%20%5C%20%5Ctext%7B%5BSubstituted%20value%20of%20SP%20in%20LHS%20and%20taking%20Cp%20common%20outside%20in%20RHS%5D%7D)
i..e Cost price of bag = 48
Selling price to gain 20% profit = Cp+0.20CP
= CP(1+0.20)
=48 (1.20)
= 57.6
Hence, the selling price the businesswoman should ask in order to make 20% profit = $57.6
9514 1404 393
Answer:
HL
Step-by-step explanation:
The triangles are right triangles, opening the possibility of using the special right-triangle congruence theorems.
The hypotenuses are marked congruent, and one leg is shared. No angles (except the right angle) are marked congruent. With only two sides and one angle, the AAS, SSS, and ASA theorems cannot apply.
The HL theorem can be used to show the triangles are congruent.
F( x ) = ( x - 1 ) ( x + 2i )( x - 2i ), because the zeroes are 1, -2i, +2i ;
f( x ) = ( x - 1 )( x^2 - 4i^2 ) = ( x - 1 )( x^2 + 4 ) = x^3 - x^2 + 4x - 4 ;
Answer:
62.5
Step-by-step explanation:
P = (6.50f) - 100
All you have to do is plug in 25 for f in the equation and solve for P.
P = (6.50*25) - 100
P = 162.5 - 100
P = 62.5
