1. Balance after 1 year with simple interest= 600 + (2.5 x 12) = 600 + 30 = $630
2. Balance after 1 year with compounded interest = P ( 1 +
= 600 ( 1 + = 600 (1.0511) = $630.66 = approx. $630
Why would experimental probability differ from theoretical probability?
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Using the probability concept, it is found that there is a 0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.
<h3>What is a probability? </h3>- A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Researching the problem on the internet, it is found that:
- 538 seniors responded with a choice other than college.
- Of those students, 99 + 83 + 49 + 31 + 63 + 71 = 396 are not from high school b.
Hence:
0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.
You can learn more about the probability concept at brainly.com/question/26148436
Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
<h3>Axis of symmetry</h3>An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.
In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.
The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.
That is, in a quadratic function that has the form:
f(x)= ax² + bx + c
the axis of symmetry is a vertical line and it is defined as .
In this case, you know:
- a= 3
- b=12
- c=9
Replacing in the definition of axis of symmetry:
Solving:
<u><em>x= -2</em></u>
Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
Learn more about axis of symmetry:
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