Equation of line: Y= mX + c
where m is slope and c is y intercept.
rewrite equation to be,
-x-7y=-56
-7y=x-56
7y= -x +56
y = -1/7 x +8
slope = -1/7
y intercept = 8
Answer:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount of money invested.
R represents interest rate
T represents time
Considering the investment on account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years
6.94 = (P × 3.7 × 0.75)/100 = 0.02775P
P = 6.94/0.02775 = $250
Considering the investment on account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
13.8 = (P × 2.3 × 1.5)/100 = 0.0345P
P = 13.8/0.0345 = $400
To determine the account that earned more interest in the first month,
250/9 = $27.8
400/18 = $22.2
Account A earned you the most interest the first month because $27.8 is higher than $22.2
Answer:
a) F (A , B,C)(a,b,c) = abc
b) Answer is in derivative
Step-by-step explanation:
Hence area is maximum x=6
For ( a,b,c) ∈ (0,1)
We have that
F A, B,C (a,b,c) = A≤ a , B≤ b , C≤c
=P (A≤a) P (B≤b) P (C≤c)
A , B, C ≈ unit (0,1) we have that
P (A≤a) =a
P (B≤b) =b
P (C≤c)=c
Thus
F (A , B,C)(a,b,c) = abc
b) Answer is in derivative
Consider the first equation : -3x-8=19.
Adding 8 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9.
Consider the first equation : -3x-2=25.
Adding 2 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9, again.
Thus, the 2 equations have the same solution.
We could have achieved this result also by noticing that the second equation is equivalent to first one, adding 6 to both sides.
Answer: A) The equations have the same solution because the second can be obtained by adding 6 to both sides of the first equation.