Answer:
0 < y ≤ 72.
Step-by-step explanation:
We are given the maximum length of the tray is 12 inches. This implies that;
x + 5 ≤ 12
x ≤ 7
Therefore, the maximum value of x is 7 inches. The maximum width will thus be;
x - 1 = 7 - 1 = 6 inches.
The maximum area, y, will thus be;
Area = length * width
Area = 12 * 6 = 72
The reasonable domain will thus be;
0 < y ≤ 72.
The area is simply between 0 and 72. The area of any object can not be negative.
Answer: $7,420.00 = 3 years
(I = A - P = $420.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Solving our equation:
A = 7000(1 + (0.02 × 3)) = 7420
A = $7,420.00
The total amount accrued, principal plus interest, from simple interest on a principal of $7,000.00 at a rate of 2% per year for 3 years is $7,420.00.
Average speed for car a = 1280 / 16 = 80 mph
Car b travels at 80 - 0.5 = 79.5 mph.
Distance car b will travel in same time = 16*79.5 = 1272 miles.
Answer:
Vertex is (-1/3, -13/3)
Axis of symmetry is x = -1/3
Step-by-step explanation:
For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k
Vertex form for this equation is:
Y = -6(x + 1/3)^3 - 13/3
To find the vertex, the formula is (h,k)
So, ( -1/3, -13/3)
