Answer:
We can write:
x + y = -2
xy = -80
We can rewrite the first equation as x = -y - 2 and then plug that into the second equation to get (-y-2) * y = -80 → -y² - 2y = -80 → y² + 2y - 80 = 0 → (y - 8)(y + 10) = 0 → y = 8, -10. Substituting these values into the first equation we get x = -10, 8 so the answer is (x₁, y₁) = (-10, 8) or (x₂, y₂) = (8, -10).
Answer:
x = 25
Step-by-step explanation:
50 + 2x = 100
=> 2x = 50
=> x = 25
Hoped this helped.
Answer:
1/50
Step-by-step explanation:
Answer:
$675
$850
$1200
Step-by-step explanation:
Use formula for simple interest:
A = P (1+rt)
where
A = accrued amount (principal + interest) = what we want to find
P = Principal (initial) amount = Given as $500
r = rate of interest = Given as 7% = 0.07
t = time
For 5 years, t = 5
A = 500 [ 1 + 0.07(5) ] = $675
For 10 years, t = 10
A = 500 [ 1 + 0.07(10) ] = $850
For 20 years, t = 20
A = 500 [ 1 + 0.07(20) ] = $1200
Answer:
7/6 cups
Step-by-step explanation:
Mug is 2/7 full
Amount of water in the mug = 1/3 cup
Assume the full capacity of the mug = m
Then the current capacity of water in mug = (2/7) of m = (2/7)m
Current capacity of water in mug is equivalent to 1/3 cup of water
Hence,
(2/7)m = 1/3
2m/7 = 1/3
Cross multiply
(2m * 3) = 7 * 1
6m = 7
m = 7/6
m = 1 1/6 cups
