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Andrei [34K]
3 years ago
5

8. A furniture shop sells sofas for $880. If the shop wanted to offer the lower price of $640, what rate of markdown would it ha

ve to offer?
Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

Answer:

The rate of markdown it would have to offer is 27.3%.

Step-by-step explanation:

The original price of sofa was, OP = $880.

The new price of sofa is, NP = $640

The change in price is:

Change=OP-NP\\=880-640\\=240

The rate of markdown offered by the shopkeeper is:

Rate\ of\ markdown=\frac{Change\ in\ Price}{Orignal\ Price}\times100 \\=\frac{240}{880}\times100\\ =0.27273\times100\\\approx27.3\%

Thus, the rate of markdown offered by the shopkeeper is 27.3%.

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Yuki888 [10]

Answer:

19+8w

Step-by-step explanation:

Distributive:

5+7(w+2)+w

5+7w+14+w

Combine Like Terms:

5+7w+14+w

19+8w

6 0
2 years ago
Which expression is a perfect cube?
ycow [4]

Answer:

y^24

Step-by-step explanation:

a variable with an exponent has an exponent which is divisible by 3 then it is a perfect cube.

3 0
3 years ago
Read 2 more answers
A random sample of 144 observations produced a sample proportion of 0.4. An approximate 90% confidence interval for the populati
EleoNora [17]

Answer:

CI =(0.333, 0.480)

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as shown;

CI = p±Z * √p(1-p)/n±0.5/n

Z is the z-score at 90% confidence

p is the sample proportion

n is the sample size

Given n = 144, p = 0.4 and z-score at 90%  CI = 1.645 (from z table)

Substituting this values;

CI = p ± 1.645*√0.4(1-0.4)/144 ±0.5/n

CI = 0.4 ± 1.645*√0.4(0.6)/144 ± 0.5/144

CI = 0.4 ±1.645 * √0.24/144 ± 0.00347

CI = 0.4 ±1.645 * 0.04087± 0.00347

CI = 0.4±0.06723±0.00347

CI =(0.333, 0.480)

7 0
3 years ago
Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero.
dusya [7]

Answer:


If:

a=x^{2}+4    (1)


And we have to rewrite the following expresion in terms of a:


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Then, we can substitute x^{2}+4 by a:


a^{2}+32=12a


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a^{2}-12a+32=0>>>>This is the resulting equation


Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).



In this case, the variable is a and the number that multiplies the variable (the coefficient) is -12, whereas the constant (which is the term with no variable) is 32





6 0
3 years ago
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astraxan [27]

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There is an increase of 10%

Step-by-step explanation:


3 0
3 years ago
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