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CaHeK987 [17]
3 years ago
11

Solve each equation. 2x=52x=5 answer asap plz

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer:

The correct answer for this problem is 55

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Step-by-step explanation:


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Paulo has won the lottery. He is offered a series of payments of $10,000 per year for 10 years. What is the present value of the
sergiy2304 [10]

The present value of the payments is $73,600.87.

Present value of a cash flow is the value of the cash flow today. This is determined by adding the discounted cash flows of the cash flows together.  

Discounted year 1 cash flow: 10,000 / (1.06) = 9,433.96

Discounted year 2 cash flow: 10,000 / (1.06)^2 = 8,899.96

Discounted year 3 cash flow: 10,000 / (1.06)^3 = 8,296.19

Discounted year 4 cash flow: 10,000 / (1.06)^4 = 7,920.94

Discounted year 5 cash flow: 10,000 / (1.06)^5 = 7,472.58

Discounted year 6 cash flow: 10,000 / (1.06)^6 = 7,049.61

Discounted year 7 cash flow: 10,000 / (1.06)^7 = 6,650.57

Discounted year 8 cash flow: 10,000 / (1.06)^8= 6,274.12

Discounted year 9 cash flow: 10,000 / (1.06)^9 = 5,918.98

Discounted year 10 cash flow: 10,000 / (1.06)^10 = 5,583.95

The sum of the discounted cash flows = $73,600.87

A similar question was solved here: brainly.com/question/9641711?referrer=searchResults

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What is 8.61×10−8 in decimal form?
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0.000000861

Step-by-step explanation:

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Hyperbola Question:
AveGali [126]

Answer:

\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1

Step-by-step explanation:

A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.

The definition leads to the equation

\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1

1. Calculate the value of a²

Assume the neighbours are at the foci A and B.

The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.

Then AB = 1 mi = 5280 ft

and the distance from the focus to the y-axis is

c = 2640

The vertices are (±a,0).

The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.  

The distance from A to the vertex V₁ is c - a. Then

AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280

2a = 2200

a = 1100

a² = 1 210 000

2. Calculate the value of b²

\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}

3. Write the equation for the hyperbola

\mathbf{\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600}} = \mathbf{1}

5 0
3 years ago
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