Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
Look at each term. How does the next one change? what is added?
The answer is 6, because there is an increase of 6 for each term
The answer is b, tell me if you don't understand.
Answer:
p=2982
Step-by-step explanation:
Rate of interest = 6 % p.a
No of year = 12
P.V = $ 25000
Installments (p) = ?
We know the formula of P.V annuity
P.V = P[ 1-(1+r)-n/r]
25000 = P[1-(1+0.06)-12/0.06]
P = 2982 will withdraw annuity
Answer:
TRUE
Step-by-step explanation:
TRUE
a_1 = 2
a_n = 2*(an_1)
if we start with 2, we would get
a_2 = 2*(a_1) = 2*(2) = 4
a_3 = 2*(a_2) = 2*(4) = 8
a_4 = 2*(a_3) = 2*(8) = 16
a_5 = 2*(a_4) = 2*(16) = 32
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and so on