Answer:
{x,y} = {5,6}
Step-by-step explanation:
// Solve equation [1] for the variable x
[1] x = y - 1
// Plug this in for variable x in equation [2]
[2] 2•(y -1) - y = 4
[2] y = 6
// Solve equation [2] for the variable y
[2] y = 6
// By now we know this much :
x = y-1
y = 6
// Use the y value to solve for x
x = (6)-1 = 5
Answer:
135 cupcakes
Step-by-step explanation:
They would be identical so it would be 114
Answer:
c = 8.14 million×(0.9166)^t
4.83 million
Step-by-step explanation:
Data:
t = y - 2007
c₀ = 8.14 million
c₃ = 23 % less than c₁
Part 1. Calculate c₃
c₃ = c₀(1 - 0.23) = 0.77c₀
Part 2. Calculate r
c₃ = c₀r^t
0.77c₀ = c₀r³
0.77 = r³ Divided each side by c₀
r = 0.9166 Took the cube root of each side
The explicit decay model is c = 8.14 million×(0.9166)^t
Part 3. Prediction
t = 2013 - 2007 = 6
c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million
The model predicts that there will be 4.83 million cars for sale in 2013.
