Answer:
n = 150
Step-by-step explanation:
If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)
and the cost function of her store is C = 16n + 750 ........ (2)
Now, at break-even point, the revenue of a business is equal to its cost.
Therefore, r = C
{From equations (1) and (2)}
⇒ 21n = 16n + 750
⇒ 5n = 750
⇒ n = 150
So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)
If there is no expression, it surely is equal to 0.
Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:
x + y = 3 and <span>2x + 2y = 6
Determinant of the equations are </span>
<span>| 1 1 | </span>
<span>| 2 2 | = 0
</span>
the numerator determinants would be
<span>| 3 1 | . .| 1 3 | </span>
<span>| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. F</span>or instance (3, 0), <span>(2, 1) and (4, -1). Therefore, it would have infinitely many solutions. </span>
44 [minutes] * 8 [times as many as April] = 352 [minutes in April]
