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3 years ago

11

Four teachers bought 10 origami books and 100 packs of oragami paper for their classrooms. They will share the cost of the items

equally. How much should each teacher pay?

1 answer:

Ksenya-84 [330]3 years ago

3 0

They will take the total price and divide it by four. So x will be the price, so the equation will be x/4=total price per person.

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The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years wil

Roman55 [17]

Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

$\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)$

after 2 year it becomes

$\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2$

Suppose, after x years it becomes $200

$\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}$

Thus, it takes 7.7 years for the cost to come under $200.

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2 years ago

What is standard form for 50,000+205 in standard form

oksano4ka [1.4K]

The answer is 50,205.

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3 years ago

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What is the vertex of this equation?

AfilCa [17]

Answer:

(5, 4)

Step-by-step explanation:

The equation can be written in vertex form by adding and subtracting 25:

y = -(x^2 -10x +25) -21 +25

y = -(x -5)^2 +4

Then the vertex can be identified as (5, 4).

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3 years ago

Sharon is 18 and would like to buy a house when she is 34. What is the discount factor for today's prices if the housing values

nlexa [21]

If I did the math right it should be A. 12.0%

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3 years ago

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Find the cosine ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no

lina2011 [118]

Find the cosine ratio of angle ΘΘ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no spaces. (4 points)

Cosine=adjacent/hypotenuse
adjacent=8
Hypotenuse =17

cosΘ=8/17

3 0

3 years ago

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