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lana66690 [7]
3 years ago
15

A) write √3×√6 in the form of b√2 where b is the instegerb) simplify √8×√18​

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Step-by-step explanation:

a.) the given term can be written as

=

\sqrt{3}  \times  \sqrt{3 \times 2}

=

\sqrt{3 \times 3 \times 2}

=

3 \sqrt{2}

hence the given term is

3 \sqrt{2}

where b = 3

b.)

=

\sqrt{8}  \times  \sqrt{18}

=

\sqrt{2 \times 2 \times 2}  \times  \sqrt{2 \times 3 \times 3}

=

\sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3}

=

12

hence the given term is 12

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($) 60 is the profit per item when the selling price is reduced by 20%

Step-by-step explanation: 20% of 700 is 140.

The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)

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3 0
3 years ago
How would you answer this question?
grigory [225]

Answer: Choice B

If you lower your rates by 6% you will increase the number of occupancies by 12%

========================================================

Explanation:

Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price

\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}

If the price drops 6% leads to a 12% increase in demand, then we get this elasticity

\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\% \text{ increase in demand}}{6\% \text{ drop in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\%}{-6\%}\\\\\text{Price Elasticity of Demand} = \frac{0.12}{-0.06}\\\\\text{Price Elasticity of Demand} = -2\\\\

The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.

-------------

Side notes:

  • Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand.
  • Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.
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