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3 years ago

Solve the equation. Check your answer. If necessary, round to 3 decimal places In x = -2, x=

Mathematics

1 answer:

Nana76 [90]3 years ago

6 0

Answer:

x = 0.135 ( 3 dec. places )

Step-by-step explanation:

Using the law of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

Note that ln x = $log_{e}$ x

given

ln x = - 2 ⇒ x = $e^{-2}$ ≈ 0.135

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3 years ago

Sylvia, John, and Peter invested their savings in a bank. The ratio of the investment of Sylvia's to John's is 1: 3 and that of

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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3 years ago

A company finds that if they price their product at $ 35, they can sell 225 items of it. For every dollar increase in the price,

Basile [38]

Answer:

Maximum revenue = $8000

The price that will guarantee the maximum revenue is $40

Step-by-step explanation:

Given that:

Price of product = $35

Total sale of items = 225

For every dollar increase in the price, the number of items sold will decrease by 5.

The total cost of item sold = 225 ×35

The total cost of item sold = 7875

If c should be the dollar unit in price increment;

Therefore; the cost function is : $[35+c(1)][225-5(c)]$

For maximum revenue;

$\dfrac{d}{dc}(cost \ function) =0$

$\dfrac{d}{dc}[[35+c(1)][225-5(c)]]=0$

0+225-35× 5 -10c = 0

225 - 175 =10c

50 = 10c

c = 50/10

c = 5

Maximum revenue = $[35+c(1)][225-5(c)]$

Maximum revenue = $[35+5(1)][225-5(5)]$

Maximum revenue = (35 + 5)(225-25)

Maximum revenue = (40 )(200)

Maximum revenue = $8000

The price that will guarantee the maximum revenue is :

=(35 +c)

= 35 + 5

= $40

8 0

3 years ago