Answer:
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Step-by-step explanation:
Answer:
130 degrees
Step-by-step explanation:
let the angle be x
2x+45+55=360(Sum of angles in quad)
2x=260
x=130
Answer:
(a) 2996 units
(b) 1897 units
Step-by-step explanation:
p = 10,000(1 - 3/3 + e^-0.001x)
(a) p = $500
500 = 10,000(1 - 1 + e^-0.001x)
500/10,000 = e^-0.001x
e^-0.001x = 0.05
-0.001x = In 0.05 = -2.996
x = -2.996/-0.001 = 2996 units
(b) p = $1500
1500 = 10,000(1 - 3/3 + e^-0.001x)
1500/10,000 = (1 - 1 + e^-0.001x)
0.15 = e^-0.001x
-0.001x = In 0.15 = -1.897
x = -1.897/-0.001 = 1897 units
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
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