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3 years ago

12

A dealer sells an air conditioner for ruppees 23000 and earns 15% on it . Find its cost price.

1 answer:

earnstyle [38]3 years ago

8 0

Answer:

20000

Step-by-step explanation:

115%-> 23000

100%->20000

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Gnesinka [82]

What are the prices?

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2 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

.

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2 years ago

$7.50 per ticket. the theater earned $450 from ticket sales tuesday's performance. which equation can be used to find the number

Norma-Jean [14]

Answer:

450 ÷ 7.50 = t (tickets sold for Tuesday)

Step-by-step explanation:

this is simple 4th grade division...

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3 years ago

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sukhopar [10]

Answer:

<em>Would be the answer D(1, −4) </em>

Step-by-step explanation:

<em>Excuse me if i'm wrong, it seems like you have the same test or almost. And this was the answer on mine. I hope it works out for you!</em>

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3 years ago

this formula, i represents the _____ of the loan. a. annual interest rate b. interest rate per period c. initial amount d. incid

Phantasy [73]

Answer:

b. interest rate per period

Step-by-step explanation:

We know that

Annual interest rate is APR or (r)

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3 years ago