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

5 0

4 years ago

How can a ratio's number can be changed without changing the ratio itself

eimsori [14]

<h2>Answer:</h2>

The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely $a \ and \ b$ , so the ratio can be written as:

$r=\frac{a}{b}$

If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:

$r=\frac{2}{3}$

We can multiply both the numerator and denominator, say, by 7. Then:

$r=\frac{7\times 2}{7 \times 3}=\frac{14}{21}$

As you can see, the ratio's number has changed but without changing the ratio itself because:

$\frac{2}{3}=\frac{14}{21}$

8 0

3 years ago