Answer:
q= -40p+c
q= -40p+4,000
Step-by-step explanation:
$5 each for 3800 tye-dye shower curtains
$10 each for 3600 tye-dye shower curtains
Slope of the demand line is
3800-3600/5-10
=200/-5
= -40
Demand function is
q= -40p + c
Where c is a constant
For q=3800 and p=$5
Demand function is
q= -40p + c
3800= -40(5)+c
3800= -200+c
c=3800+200
c=4,000
Linear demand function is
q= -40p+4,000
If you plug in the # the only one that is correct is y-8=-0.2(x+10)
The value of 18x + 9∆x - 7 based on the limit given will be 18x - 7.
<h3>How to calculate the value?</h3>
From the information given, it should be noted that we simply want to calculate the value of x.
This will be:
18x + 9∆x - 7
It was stated that ∆x = 0
Therefore, we'll put this into the equation.
This will be:
18x + 9∆x - 7
= 18x + 9(0) - 7
= 18x -7
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Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)
Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141
(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71
(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000
</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x
taking "ln" on both sides:
ln(4.797) = ln(1.19)^x
ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)