Answer:
Let's define:
C = number of pandesal with cheese that you sell
U = number of pandesal with ube that you sell.
If you sell these numbers of each, the total profit you get is:
C*8.00 pesos + U*9.00 pesos.
And yo want to get at least 180 pesos, then:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
And you also want to sell two of each, then:
C ≥ 2
U ≥2
So the system of inequalities is:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
C ≥ 2
U ≥2
If U is on the x-axis, and C is on the y-axis, then the graph is: (where the region at the right of the vertical line should be shaded)
Answer:
$478
Step-by-step explanation:
After 20 years, William will have a total of $3,513.94
After 20 years, Nolan will have a total of $3,991.93
Difference = $478
William:
2300[1 + (.02125 ÷ 4)]^4 · 20
2300 · (1 + .0053125)^80
2300(1.5278)
$3,513.94
Nolan:
2300[1 + (.0275 ÷ 12)]^12 · 20
2300 · (1 + .0023)^240
2300(1.7356)
$3,991.93
Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula
The product of slopes of two perpendicular lines is -1.
Slope of GR is
Slope of RT is
Product of slopes of GR and RT is
Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule
Then the coordinates of T' are
Slope of RT' is
Product of slopes of GR and RT' is
Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
This is the associative property, since any numbers can <em>associate </em>with each other, via the parentheses.
Answer:
Rate of change: -3.5
Step-by-step explanation:
(-3,10.5) and (-2,7)
(7 - 10.5) / ( -2 - - 3)
= -3.5 / 1
