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Answer:
FIRST EXPRESSION:
- If 
, the value of 
is 
- If 
, the value of is 
- If 
, the value of is 
SECOND EXPRESSION:
- If , the value of 
is 
- If , the value of is 
- If , the value of is 
Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.
Step-by-step explanation:
Substitute the given values of "b" into each expression and evaluate.
- For the first expression , you get:
If → 
If → 
If → 
- For the second expression , you get:
If → 
If → 
If → 
You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.
Total amount paid if he bought = 6000 + 726(12 x 3) = 6000 + 726(36) = 6000 + 26,136 = 32,136
Total amount paid if he rents = 2000 + 37P, where P is the monthly rent
For renting to be cheaper
2000 + 37P < 32,136
37P < 32136 - 2000 = 30136
P < 30136 / 37 = 814.49
Therefore, the maximum rent he could pay is $814
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
<span>cy+3=6d-2y
cy + 2y = 6d - 3
(c + 2)y = 6d - 3
y = (6d - 3)/(c + 2)</span>
