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aalyn [17]
3 years ago
15

Eunice lives in indiana, which has a sales tax of 7%. She just bought a couch whose full price was $1200 but she got 20% off bc

the store was having a sale. What was the total amount that eunice paid
Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer:

Total amount paid by Eunice=$1,044

Step-by-step explanation:

Step 1: Determine full price of couch

Full price of couch=$1200

Step 2: Determine tax

Tax=tax rate×full price

where;

tax rate=7%

full price=$1200

replacing;

Tax=(7/100)×1,200=$84

Tax=$84

Step 3: Calculate the sale price

Sale price=Full price-20% discount

where;

Full price=$1,200

discount=(20/100)×1,200=$240

replacing;

Sale price=(1,200-240)=960

Sale price=$960

Step 4: Total amount paid by Eunice

Total amount paid by Eunice=Sale price+tax

where;

Sale price=$960

tax=$84

replacing;

Total amount paid by Eunice=(960+84)=$1,044

Total amount paid by Eunice=$1,044

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A force of 3 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is
ioda

The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound

<h3>Data obtained from the question</h3>

From the question given above, the following data were obtained:

  • Force (F) = 3 pounds
  • Extension (e) = 0.6 feet
  • Work done (Wd) =?

<h3>How to determine the spring constant</h3>
  • Force (F) = 3 pounds
  • Extension (e) = 0.6 feet
  • Spring constant (K) =?

F = Ke

Divide both sides by e

K = F/ e

K = 3 / 0.6

K = 5 pound/foot

Thus, the spring constant of the spring is 5 pound/foot

<h3>How to determine the work done</h3>
  • Spring constant (K) = 5 pound/foot
  • Extention (e) = 0.7 feet
  • Work done (Wd) =?

Wd = ½Ke²

Wd = ½ × 5 × 0.7²

Wd = 2.5 × 0.49

Wd = 1.23 foot-pound

Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound

Learn more about spring constant:

brainly.com/question/9199238

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5 0
1 year ago
An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelec
Anastaziya [24]

Answer:

The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

Step-by-step explanation:

Given:

The probability of getting a microprocessor from firm A is, P(A)=45\%=0.45

The probability of getting a microprocessor from firm B is, P(B)=30\%=0.30

The probability of getting a microprocessor from firm C is, P(C)=25\%=0.25

Now, let event D be having a defective microprocessor at random.

So, as per the question,

Probability of producing a defective microprocessor from firm A is, P(D/A)=6\%=0.06

Probability of producing a defective microprocessor from firm B is, P(D/B)=7\%=0.07

Probability of producing a defective microprocessor from firm C is, P(D/C)=5.5\%=0.055

Now, probability of having a defective microprocessor when selected at random is given as:

P(D)=P(A)\cdot P(D/A)+P(B)\cdot P(D/B)+P(C)\cdot P(D/C)\\P(D)=(0.45\times 0.06)+(0.30\times 0.07)+(0.25\times 0.055)\\P(D)=0.027+0.021+0.01375\\P(D)=0.06175\ or\ P(D)=0.06175\times 100\approx 6.2\%

Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

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3 years ago
What is the value of 9 + 21 (13 + 5)?
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Answer:

387

Step-by-step explanation:

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What is -1/4(x+8)+30=7
umka2103 [35]

Answer: x=84

Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.

I hope this helps you out. :)

4 0
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