Answer:
Costo final= $412.38
Step-by-step explanation:
Dada la siguiente información:
Costo inicial= $355.5
Recargo de la tarjeta= 16% = 0.16
<u>Para calcular el costo final que debe pagar Silvia, debemos usar la siguiente información:</u>
Costo final= costo inicial*(1 + recargo)
Costo final= 355.5*1.16
Costo final= $412.38
Total expenses: $245.00
Total revenue: $479.00
Total profit $234.00
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
Answer: C = 1.69
Step-by-step explanation:
E is proportional to √C
To remove proportionality, introduce a constant (k).
E = k × √C
From question,
E = 40 and C = 25
So,
40 = k ×√25
40 = k × 5
k = 8
Now,
C = ?
E = 10.4
k = 8
E = k × √C
10.4 = 8 × √C
10.4 / 8 = √C
( 10.4 / 8 ) ^ 2 = C
C = 1.69
