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attashe74 [19]
2 years ago
10

Without solving determine the number of real solutions for each quadratic equation

Mathematics
1 answer:
seropon [69]2 years ago
3 0

Answer:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2

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A company is planning a four-year project, with an initial cost of $1.67 million. This investment cost is amortised to zero over
yaroslaw [1]

Answer:

The Net Present Value =  $451180.733

Step-by-step explanation:

Given that:

the initial cost of the project is $1670000

the initial increase in working capital is $198000

The total investment will be ; initial cost of the project + initial increase in working capital

The total investment = $1670000 + $198000

The total investment = $1868000

So, This investment cost is amortised to zero over four years; This implies that the project will depreciate in four years;

Now; lets determine the rate of the annual depreciation

The annual depreciation = \dfrac{Initial \ cost \  of \  project }{life \ of \ project}

The annual depreciation = \dfrac{1670000}{4}

The annual depreciation = $417500

Over to the annual operating cash flow; the annual operating cash flow can be calculated as follows:

annual operating cash flow = (sales - cost) × (1 - tax rate )+ (annual depreciation × tax rate )

Given that the tax rate = 21% = 0.21

annual operating cash flow = (1850000 -1038000)×(1-0.21)+(417500× 0.21)

annual operating cash flow = 812000 × 0.79 + 87675

annual operating cash flow = 641480 +  87675

annual operating cash flow = $729155

So; let's calculate the after tax salvage value for the project

We know that the sales values for the project in four years is $435,000 (i.e the disposal rate of the asset after four years)

Thus; the book value is zero

The after tax salvage value for the project can now be determined by the relation:

after tax salvage value = sale value - tax (sale value - book value)

after tax salvage value =  435000  - 0.21 (435,000 -0)

after tax salvage value = 435000 - 91350

after tax salvage value = $343650

Similarly; given that the recovering rate of the project is $198000;

The cash flow in year 4 will be: annual operating cash flow + after tax salvage + recovery working capital

cash flow in year 4 = $(729155 + 343650 + 198000)

cash flow in year 4 = $ 1270805

This implies that the cash flow from year one to three is : 729155

the cash flow in year four is : 1270805

Given that the Required return rate = 16.4% = 0.164

We can therefore determine the Present cash inflows by using the relation:

Present \ Value = \dfrac{c_1}{(1+r)^1}+ \dfrac{c_2}{(1+r)^2}+ \dfrac{c_3}{(1+r)^3}+ \dfrac{c_4}{(1+r)^4}

Present \ Value = \dfrac{729155}{(1+0.164)^1}+ \dfrac{729155}{(1+0.164)^2}+ \dfrac{729155}{(1+0.164)^3}+ \dfrac{1270805}{(1+0.164)^4}

Present \ Value = \dfrac{729155}{1.164^1}+ \dfrac{729155}{1.164^2}+ \dfrac{729155}{1.164^3}+ \dfrac{1270805}{1.164^4}

Present Value = $(626421.8213 + 538163.0767 + 462339.413+692256.4225)

Present Value = $2319180.733

Finally, The net present value = Present Value - Total Investment

Net Present Value = $(2319180.733 - 1868000)

Net Present Value =  $451180.733

Therefore; The Net Present Value =  $451180.733

5 0
3 years ago
Christopher has a part-time job that pays $2,900 for the year. During the year 24% is taken out for Federal Taxes. At the end of
Assoli18 [71]

Answer:

$164 refund

Step-by-step explanation:

2900 x .24= $686 withheld

2900 x .18= $522 actually owed

686-522= $164

4 0
2 years ago
How many zero arin the product of any whole. number less than 10 and 500
Stolb23 [73]

Answer:

Hay un máximo de tres ceros en el producto de un número distinto de cero cero menor que 10 y 500

Para poder ver esto, la forma más fácil para resolver este problema es multiplicar todos los números entre 1 y 9 por 500, es decir:

01*500 = 500

2*500 = 1.000

3*500 = 1.500

4*500 = 2.000

5*500 = 2.500

6*500 = 3.000

7*500 = 3.500

8*500 = 4.000

9*500 = 4.500

Como vemos, si multiplicamos a 500 por cualquier número par, entonces obtenemos un número con tres ceros, mientras que si este es impar solamente obtenemos dos ceros

dame coronaa

7 0
3 years ago
Read 2 more answers
(15 points + Brainliest) Help solve the following geometry proof in the image, there can be as many statements and reasons.
Ugo [173]

n1 || n2 | given

<1 supplements <2 | same side exterior angles supplement eachother

3 0
2 years ago
I am M I am a number between 17 and 25 I am a multiple of 36 is not a factor of mine what am I
Leni [432]

Answer:

wat

Step-by-step explanation:

8 0
2 years ago
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