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Vladimir [108]
3 years ago
10

the owner od the theater in item 18 wants to make at least $400 at each performance. let x be the number of adult tickets and y

be the number of child tickets sold. white an inequality to show the number of tickets that need to be sold
Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0

Answer:

The inequality representation is :   x + y ≥ $400

Step-by-step explanation:

  • Inequality is the comparison and boundary for two non equal values. So inequality compares the non equal values.
  • As the owner wants to make $400 and sets boundary that;

                    Least amount to make = $400

                    Highest amount to make= infinite

  • This introduces relation in inequality as $400 or greater than $400.
  • The money made is counted combine from child tickets and adult tickets. If x is the made made through child tickets and y is from the adult then,  

                                            x + y ≥ $400

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(a) A photography student borrows RM2 500 to buy a camera. The bank loans this money at a rate of 9 % capitalized monthly. What
Monica [59]

Answer:

The student will have to reimburse 2,991.03 two years later.

Step-by-step explanation:

This is a compound interest problem:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

A is the amount the student will have to reimburse two years later.

P is his loan. so P = 2,500

The bank loans this money at a rate of 9 % capitalized monthly. This means that r = 0.09 and n = 12, since the money is compounded monthly, this means, 12 times in a year.

He will have to reimburse two years later, so t = 2

A = P(1 + \frac{r}{n})^{nt}

A = 2,500(1 + \frac{0.09}{12})^{24}

A = 2,991.03

The student will have to reimburse 2,991.03 two years later.

6 0
3 years ago
Game Go charges $0.79 per game rental and a membership fee of $24. Action Games charges $1.19 per game rental. With how many gam
nexus9112 [7]

Answer:

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Step-by-step explanation:

Simplifying

0.79x + 24 = 1.19x

Reorder the terms:

24 + 0.79x = 1.19x

Solving

24 + 0.79x = 1.19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.19x' to each side of the equation.

24 + 0.79x + -1.19x = 1.19x + -1.19x

Combine like terms: 0.79x + -1.19x = -0.4x

24 + -0.4x = 1.19x + -1.19x

Combine like terms: 1.19x + -1.19x = 0.00

24 + -0.4x = 0.00

Add '-24' to each side of the equation.

24 + -24 + -0.4x = 0.00 + -24

Combine like terms: 24 + -24 = 0

0 + -0.4x = 0.00 + -24

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Combine like terms: 0.00 + -24 = -24

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8 0
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Answer:

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Step-by-step explanation:

Part A. Factor out the greatest common factor

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(ii) Factor the sum of squares

Use the Sophie Germain Identity to factor x⁴ + 4.

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= (x² + 2 - 2x)(x² + 2 + 2x)

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8 0
3 years ago
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