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docker41 [41]
3 years ago
14

Martinez purchased a pair of shoes on a web site. the original price of the shoes was $75. she used a coupon code to recive 20%

discount ? the web site applied a 10% service fee to the discounted price . Martinez shoes were less than the original price by what percent​
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

$9 or 9% less

Step-by-step explanation:

Original Price = OP

$75= OP

75 x .2 (20% discount) = 15

$15 discount

$75 - $15 = $60

$60 x .1 (service fee) = 6

$60 + $6= $66

Op ($75) - $66 = 9

$9 less than OP

How I check the percentage (probaly not how ur supposed to but ah well)

75 = 100%

75 + 25 = 100 but 25 more than 100%

66 + 25 = 91, also makes 75 100% again

100%-91%=9%

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A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
mestny [16]

Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

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3 years ago
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