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3 years ago

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

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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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2 years ago

What is 124 decreased by 67%

inysia [295]

Answer:

40.92

Step-by-step explanation:

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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

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2 years ago