Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
c. $467.29
Step-by-step explanation:
The total of balances is $9360. The payment can be computed using the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^-n)
where A is the monthly payment, P is the principal (total balance), r is the annual rate, and n is the number of months.
Filling in your numbers, we have ...
A = $9360(0.18/12)/(1 -(1 +0.18/12)^-24) ≈ $467.29
Frank's monthly credit card payment will be $467.29.
Answer:
Option "d" might be 11/13
Step-by-step explanation:
Red face cards=8. ( heart and Diamond)
Remove this 8 cards from 52 cards which gives
=>44
Toal cards =52
PROBABILITY = 44/52=>11/13
Answer:
y = 55x + 15
Step-by-step explanation:
i think this is it, but it might not be right
Answer:
x = -5/2
Step-by-step explanation:
0 = -2x - 5
2x = -5
Divide^
x = -5/2
Hope this helped
Brainliest is appreicated./