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algol13
3 years ago
13

Write exponential function that goes through (0, 19) and (6, 1216)

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

f(x)=19(2)^x

Standard form of exponential graph is f(x) = ab^x

Plugging in (0, 19), you get

19 = ab^0 -> 19 = a(1)

a=19

f(x)=19b^x

1216 = 19(b)^6

64=b^6

b=2

-> f(x) = 19(2)^x

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4

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200 * 1 1/2 = 300 miles traveled

300/75 = <em><u>4 hours</u></em>

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True or false the pre-image and image of a dilation are always similar.
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Brian can iron 3 shirts in 5 minutes. If Brian irons at a constant rate, how many shirts can he iron in 30 minutes? WILL GIVE BR
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1) Uma produtora pretende lançar um filme em dvd e prevê uma venda de 20.000 cópias. O custo fixo de produção do filme foi R$ 15
vichka [17]

Answer:

The minimum price that should be charged for dvd, so there is no loss = R $ 27.5

O preço mínimo que deve ser cobrado pelo dvd, para que não haja perda = R $27,5

Step-by-step explanation:

English Translation

A production company plans to release a movie on DVD and plans to sell 20,000 copies. The fixed cost of producing the film was R $ 150,000.00 and the cost per unit was R $ 20.00 (blank DVD, copying and packaging process). What is the minimum price that should be charged for dvd, so there is no loss?

Total cost of production

= (Fixed Cost) + (Variable Cost)

Fixed Cost = R $ 150,000.00

Variable Cost = (Cost of production per unit) × (quantity produced) = 20 × 20000

= R $400,000

Total cost of production = 150,000 + 400,000

= R $ 550,000

Total revenue = (Quantity available) × (Price of 1 unit)

Let the price of 1 unit be p

Total revenue = 20000 × P = 20000p

Profit = (Total revenue) - (Total Cost of production)

For the minimum price that the should be charged for dvd, so there is no loss, profit = 0

So,

Profit = (Total revenue) - (Total Cost of production) = 0

20000p - 550000 = 0

p = (550000/20000) = R $ 27.5

In Portugese/Em português

Custo total de produção

= (Custo fixo) + (custo variável)

Custo Fixo = R $ 150.000,00

Custo variável = (Custo de produção por unidade) × (quantidade produzida) = 20 × 20000 = R $ 400.000

Custo total de produção = 150.000 + 400.000

= R $ 550.000

Receita total = (quantidade disponível) × (preço de 1 unidade)

Seja o preço de 1 unidade p

Receita total = 20000 × P = 20000p

Lucro = (receita total) - (custo total de produção)

Pelo preço mínimo que deve ser cobrado pelo dvd, para que não haja perda, lucro = 0

Assim,

Lucro = (receita total) - (custo total de produção) = 0

20000p - 550000 = 0

p = (550000/20000) = R $ 27,5

Hope this Helps!!!

4 0
3 years ago
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