X-intercept is 0
Y-intercept is —4
To help you with this topic, I would suggest you revise probability trees.
P(train arriving) = 0.8
P(train arriving on time) = 0.84
P(train arriving late) = 0.86
0.8 x 0.86 = 0.688
Answer: 0.688
Hope it helped :)
The point where the lines intersect is the solution to the system of equations.
(x, y) = (2, 3)
Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;

Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
1.Since 5 is less than 8, borrow 1 from the next column to make 15.
2.Calculate 15 - 8, which is 7.
3.Calculate 3 - 3, which is 0.
4.Since 2 is less than 5, borrow 1 from the next column to make 12.
5.Calculate 12 - 5, which is 7.
6..<span>Calculate 9 - 2, which is 7.</span>
7.<span>Therefore, 102.45 - 25.38 = 77.07.</span>