Answer:
-4
Step-by-step explanation:
your counting backward from 3
<span>2750............. is your answer</span>
I believe the answer is B-combine like terms
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
If the population decreases by 2% each year, that can be represented by multiplying the population by 0.98 mathematically. So if it decreases by 2% each year, an equation we can use is:
P*(0.98)^t,
where P is the current population and t is the number of years.
So in 2020, that would be 10 years from now, so the population would be:
1759*(0.98)^10 = 1437.23
Or about 1437 people.
How long till it is less than 1000? We can set up an inequality and solve:
1759*(0.98)^t < 1000
(0.98)^t < 1000/1759
t*ln(0.98) < ln(1000/1759)
t > ln(1000/1759)/(ln(0.98)) (swap the sign because ln(0.98) is a negative #)
t > 27.95
So the population would be below 1000 in about 28 years, or 2038.
