The answer is $37,923
<span>y = 844.697x^2 + 3723.485x - 13,650
x - number of years
y - the annual profit
If x = 8, the annual profit y is:
y = </span>844.697 * 8^2 + 3723.485 * 8 - 13,650
y = 844.697 * 64 + 29,787.88 - 13,650
y = 54,060.608 + 16,137.88
y = 37,922.728 ≈ 37,923
<span>4x - 15 = 3 </span>
<span>4x = 3 + 15 </span>
<span>4x = 18 (divide both sides by 4 to get x) </span>
<span>4x/4 = 18/4 </span>
<span>x = 4.5 </span>
The probability of choosing a red marble is 18/47.
Answer:
Step-by-step explanation:
<u>Functions have graphs or slopes.</u>
<u>This is not a function.</u>
<u>This is not on a graph or on a slope.</u>
Your answer is not a function.
We are given that there are a total of 78 students. If we set the following variables:

Then, the sum of all of these must be 78, that is:

Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:

Simplifying:

Now we solve for P by subtracting 62 on both sides:

Therefore, there are 16 students in physics