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cupoosta [38]
3 years ago
14

Which is bigger 67% or 3/5 Please help me

Mathematics
1 answer:
Mrrafil [7]3 years ago
3 0

Answer:

67%

Step-by-step explanation:

This is because 67% is basically 67/100 as a fraction and 3/5 is only 60%, all you need to know is the facts about fraction to percentage

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At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the qua
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Answer:

1) The demand equation is x=-0.25p+300

2) The price when no consumers willing to buy this commodity is $1200.

3) The quantity of the commodity would consumers take if it was free is 300 pounds.

Step-by-step explanation:

Given : At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the quantity demanded decreases by 14 pounds.

To find :

1) The demand equation ?

2) At what price are no consumers willing to buy this commodity?

3) According to the above model, how many pounds of this commodity would consumers take if it was free?

Solution :

1) According to question,

p is the unit price and x is the quantity demanded for this commodity in pounds.

Let, p_1=\$900 and  x_1=75\text{ pounds}

and p_2=\$956 and  x_2=75-14=61\text{ pounds}

To find the demand equation we apply two point slope form,

(x - x_1)=\frac{(x_2-x_1)}{(p_2-p_1)}\times(p-p_1)

Substitute the values,

(x - 75)=\frac{61-75}{956-900}\times(p-900)

(x - 75)=\frac{-14}{56}\times(p-900)

(x - 75)=\frac{-1}{4}\times(p-900)

x-75=-\frac{1}{4}p+225

x=-\frac{1}{4}p+300

x=-0.25p+300

The demand equation is x=-0.25p+300

2) For no consumers,

Substitute x=0 in demand equation,

0=-0.25p+300

0.25p=300

p=\frac{300}{0.25}

p=1200

The price when no consumers willing to buy this commodity is $1200.

3)  For free,

Substitute p=0 in demand equation,

x=-0.25(0)+300

x=300

The quantity of the commodity would consumers take if it was free is 300 pounds.

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Step-by-step explanation:

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