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vichka [17]
3 years ago
13

The three numbers that make up the code to a safe sum 91. The last number is a multiple of 3, the middle number is 1/3 the last

number, and the first is 3 times the last number. What is the middle nimber of the code?
SAT
1 answer:
Karolina [17]3 years ago
5 0

Answer:

7

Explanation:

Let the middle number be x.

Since  the middle number is 1/3 the last number, then the last number has to be three times the middle number,

Therefore the last number is 3x

The first is 3 times the last number, meaning the first number has to be 3*3x=9x

All the three number add up to 91,

thus 9x+x+3x=91

13x=91

x=91/13=7

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Gekata [30.6K]

The minimum production cost of company 2 is greater than the minimum production cost of company 1. We arrived at this value by comparing the production cost of both companies.

<h3>What is meant by minimum production cost?</h3>

The overall cost incurred by a company to manufacture a product or provide services is known as the cost of production.

The objective of every company is to keep this cost at minimum, hence the minimum production cost.

<h3>How do find minimum Production Cost?</h3>

Recall that the production function is given as:

f(x) = 0.25x² - 8x + 600

Inserting the values given by the schedule we have

  1. f(6) = 0.25(6²) - 8(6) + 600 = 561
  2. f(8) = 0.25(8²) - 8(8) + 600 = 552
  3. f(10) = 0.25(10²) - 8(10) + 600 = 545
  4. f(12) = 0.25(12²) - 8(12) + 600 = 540
  5. f(14) = 0.25(14²) - 8(14) + 600 = 537

For company 2, we are given the various production costs as;

x   - g(x)

6  - 862.2

8  - 856.8

10 -  855

12 -  856.8

14 - 862.2

Juxtaposing the above, we can infer that the minimum production cost of company 2 is greater than the minimum production cost of company 1.

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7 0
2 years ago
At some point during her free fall, the skydiver reaches her terminal speed. What is the magnitude of the drag force fdrag due t
Dominik [7]

From the computation, the magnitude of the drag force when the skydiver reached terminal speed is 784 Newtons.

<h3>How to calculate the magnitude</h3>

From the complete information, the skydiver has a mass of 80kg and jumps off a plane. The free-fall acceleration is also given as 9.80m/s².

Therefore, the weight of the skydiver will be:

W = mass × acceleration

W = 80 × 9.80

W = 784N

In conclusion, the magnitude of the drag force due to air resistance is 784N.

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2 years ago
What is the correct definition of valence electrons?
Juliette [100K]

Answer: It is a negatively charged particle, located in the outermost shell of an atom, that can be transferred to or shared with another atom. Or for short it just means  <u>Negatively charged particle</u>

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3 years ago
A wealthy man just died and left his pet dogs the following estate: $20,000 per year for the next 11 years with the first cash f
Andre45 [30]

The concept of present value lets us know that the doggy estate worth in today's dollars is $180614.80

<h3>What is the present value of the doggy estate worth?</h3>

The concept of present value is significant because it enables investors to determine whether the amount they pay for an investment is reasonable. The present value of a future cash flow defines how much it is worth in today's value.

From the given information:

  • The annual cashflow C = $20,000
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Thus, the present value of the doggy estate can be calculated by using the formula;
\mathbf{PV = C \times \Big [ \dfrac{1 - \dfrac{1}{(1+i)^n}}{i}\Big] \times (1+i)}

\mathbf{PV = 20000 \times \Big [ \dfrac{1 - \dfrac{1}{(1+0.042)^{11}}}{0.042}\Big] \times (1+0.042)}

PV = $180614.80


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__________ generally makes drivers sloppy and aggressive. A. Alcohol B. LSD C. Marijuana D. Dramamine
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I WOULD SAY A BC NOT MUCH PEOPLE GET AGGRESSIVE WITH ALL THE OTHER ONES 
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