Answer:
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Step-by-step explanation:
f(x) = 0.69 (1.03)^x
in other words TO THE POWER x
that would be 0.69 when x = 0 years, now
0.69 * 1.03 after one year
0.69 * 1.03 *1.03 after two years
0.69 *1.03*1.03*1.03 after 3 etc
It is getting bigger. Every year you increase by .03 x which is 3%
<h2>Steps</h2>
- Standard Form Equation: f(x) = ax² + bx + c
So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):
Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):
Next, plug (2,15) into the standard form equation and simplify:
Now, with our last two simplified equations we will create a system of equations:
Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:
From here, we can solve for the a variable. With it, just divide both sides by 3:
Now that we know the value of a, plug it into either equation to solve for the b variable:
<h2>Answer</h2>
Putting all of our obtained values together, your final answer is:
To clear the fractions we multiply both sides by the least common multiple of all the denominators.
1/2 x + 2/3 = 4
Denominators 2 and 3, so multiply both sides by [Answer]: 6
3/4 x + 1 = 5/6
Denoms 4 and 6, LCM=12 Answer: 12
6/7 x - 2/3 = 5/21
LCM(7,3,21)=21 Answer: 21
3/5 + x/2 = 9
LCM(5,2) Answer: 10
25/4 = 6 + 1/2 x
LCM(4,2) Answer: 4
Probability is defined as the number of desired outcomes over all possible outcomes. Lets say each second is one possible outcome. This means there is 30 different desired outcomes out of 60 possible outcomes. The probability therefore is 30/60, simplified to 1/2.
Answer:
The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.
The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.
Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.
He returns to pick up the goose and heads back across the river one last time.
Step-by-step explanation:
