There are 2,500 grams in 2.5kg
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
The sale price was 30% off the original price, which means it was on sale for 70% of the original cost ( 100% - 30% = 70%)
To find the original cost, divide the sale price by the percent of the original cost:
21 / 0.70 = 30
The original price was $30
check:
30 x 0.3 = 9 ( amount of discount)
30 - 9 = 21 ( sale price)
9514 1404 393
Answer:
(-2, -2)
Step-by-step explanation:
The midpoint M is calculated from end points A and B as ...
M = (A +B)/2
Solving for end point B, we get ...
2M = A +B . . . . . . multiply by 2
B = 2M -A . . . . . . subtract A
Then the other end point is ...
B = 2(4, 3) -(10, 8) = (2·4 -10, 2·3 -8) = (8-10, 6-8)
B = (-2, -2)
The other end point has coordinates (-2, -2).
