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sattari [20]
3 years ago
11

Last year, a lighting supplier called Bright Idea shipped a total of 37,220 lamps to its distributors. This year, the supplier s

hipped 29,776 lamps. What is the percent of decrease in the number of lamps shipped annually?
Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

25%

Step-by-step explanation:

Given data

Last years shipment= 37220  lamps

These years shipment= 29776 lamps

% Decrease= Initial-Final/Initial*100

% Decrease= 37220-29776/29776*100

% Decrease= 7444/29776*100

% Decrease= 0.25*100

% Decrease= 25%

Hence the decrease is 25%

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3 years ago
A metal plate, with constant density 5 g/cm^2, has a shape bounded by the curbe y = x^2 and the x-axis, with 0&lt;= x &lt;= 3 an
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4 0
4 years ago
A yoga studio offered a special for high school students where new students could join for half off of the monthly fee (includes
Eva8 [605]

Given:

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  • the one-time processing fee is $8.25
  • 10 students took this offer and the yoga studio collected $392.50

To Find:

The regular price of the monthly fee 'r'

Solution:

The equation can be framed as

(r-\frac{50}{100}.r)+8.25=39.25\\\frac{50}{100}.r+8.25=39.25\\\frac{r}{2}+8.25=39.25\\\frac{r}{2}=31\\r=(31)(2)=62

And, the regular price of the monthly fee is $62.

Calculation:

We know that 10 students took the offer and the yoga studio collected $392.50. This means, using the Unitary Method, the studio has collected $(392.50/10) = $39.25 per student.

Now, if r denotes the regular price of the monthly fee, the offer runs a 50% discount on r.

So, the discounted price should be $(r - 50% of r) i.e., r-\frac{50}{100}.r

We must add to this the one time processing fee of $8.25

Therefore, the total price paid by one student would be

(r-\frac{50}{100}.r)+8.25

This must be equal to $39.25 as we have calculated this to be the amount collected by the yoga studio per person.

So, the equation can be framed as

(r-\frac{50}{100}.r)+8.25=39.25\\\frac{50}{100}.r+8.25=39.25\\\frac{r}{2}+8.25=39.25\\\frac{r}{2}=31\\r=(31)(2)=62

Thus, the regular price of the monthly fee is $62.


5 0
3 years ago
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