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Zepler [3.9K]
3 years ago
10

An economy package of cups has 420 green cups. if the green cups are 20% of the total package, how many cups are in the package?

Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0
C(20/100)=420

c=2100

So there were 2100 cups in all.
kotegsom [21]3 years ago
3 0
20 is 1/5 of 100.
If 420 is 1/5 of the total, multiply 420 by 5.
2100 is the total.
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Write the complex number in the form a + bi.
bonufazy [111]

Answer:

\frac{3}{2} + \frac{3\sqrt{3} }{2} i

Step-by-step explanation:

Using the exact value

cos60° = \frac{1}{2} and sin60° = \frac{\sqrt{3} }{2}, then

3(cos60° + isin60°)

= 3( \frac{1}{2} + \frac{\sqrt{3} }{2} i) ← distribute by 3

= \frac{3}{2} + \frac{3\sqrt{3} }{2} i ← in the form a + bi

7 0
3 years ago
The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,020,00
tatyana61 [14]

1. The Year-0 net cash flow is -$1,061,500.

2. The net operating cash flows in Years 1, 2, and 3 are as follows:

Year 1: $288,750 ($386,000 x 1 - 0.25)

Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

Initial cash outlay = $1,061,500 ($1,020,000 + $22,000 + $19,500)

Salvage value = $599,000

Increase in net working capital = $19,500

Annual savings before tax = $386,000

Tax rate = 25%

Annuial savings after tax = $288,750 ($386,000 x 1 - 0.25)

<h3>Determination of Net Present Value (NPV):</h3>

Year      Cashflows        PV Factor     Present Value

0          -$1,061,500               1             -$1,061,500

1              $288,750          0.901           $260,164

2             $288,750          0.812          $234,465

3             $288,750          0.731            $211,076

3             $468,750          0.731          $342,656

Net present value                                -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

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5 0
2 years ago
What is 124 decreased by 67%
inysia [295]

Answer:

40.92

Step-by-step explanation:

hope this helps

5 0
3 years ago
Read 2 more answers
Seven less than the quotient of a number, x, and twelve is five times the number. Which answer represents this situation??
erica [24]

Answer:

Option b is correct.

Step-by-step explanation:

From the given condition : Seven less than the quotient of a number, x, and twelve is five times the number.

Here, the number is x

The quotient of a number x and twelve is expressed as ,  \frac{x}{12}

Seven less than the quotient of a number, x, and twelve is expressed as,  \frac{x}{12}-7

Five times the number mean, 5x

Therefore, we have an equation in the form of <em>x</em>  from the given condition as:

\frac{x}{12}-7=5x .







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2 years ago
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The speed of light is approximately 299,000,000 meters per second.
jek_recluse [69]

Answer:

2.99 x 10⁸ meters per second

Step-by-step explanation:

Scientific notation (also called "Standard form") is written in the form of a \times 10^n, where  1\leq a < 10  and  n is any positive or negative whole number.

To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>

The number of times you have moved the decimal point is the power of 10 (n).

If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.

If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.

<u>To convert the given number to scientific notation</u>

The decimal point for the given number 299000000 is after the last zero:

⇒  299000000.

Move the decimal point 8 places to the left:  

⇒ 2.99000000

Get rid of the redundant zeros:

⇒ 2.99

Multiply by 10 to the power of the number of decimal places moved:  

⇒ 2.99 x 10⁸

Therefore, the speed of light using scientific notation is:

  • 2.99 x 10⁸ meters per second
7 0
2 years ago
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