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dimulka [17.4K]
2 years ago
5

What is the present value of a $50,000 decreasing perpetuity beginning in one year if the discount rate is 7% and the payments d

ecline by 4% annually?
Mathematics
1 answer:
Trava [24]2 years ago
4 0

Answer:

Present Value = $1666666.67

Step-by-step explanation:

Present Value of a Growing Perpuity is calculated using the following formula

PV =D/(r - g)

Where D = Dividend

r = Discount Rate

g = Growth rate

D = $50,000

r = 7%

r = 7/100

r = 0.07

g = 4%

g = 4/100

g = 0.04

PV = D/(r-g)

Becomes

PV = $50,000/(0.07-0.04)

PV = $50,000/0.03

PV = $1,666,666.67

So the Present Value of the perpuity is $1,666,666.67

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write three sentences contrasting the federalist and anti-federalist viewpoints on separation of powers in the constitution. def
timofeeve [1]

Answer:

Federalists were the group of people who believed in and fought for the ratification of the <em>United States Constitution</em>, while Anti-Federalists did not favor the ratification of the United States Constitution. Anti-Federalists appreciated the Articles of Confederation more and favored the U.S. Government having very limited powers, or having no power at all. For this reason, Federalists compromised with Anti-Federalists to draft a <em>Bill of Rights</em>, which lists the ten inalienable rights of any U.S. Citizen regardless.

Separation of Powers was a principle established in our government which is the reason for why the Judicial, Legislative, and Executive Branch exist. Separation of Powers was a way to make sure the government did not have too much power in one area than another, allowing them to keep each other in check from enacting abusive orders or actions.

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2 years ago
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A store sold a certain brand of jeans for $38 one day, the store sold 6 pair of jeans of that brand. How much did the 6 pairs of
baherus [9]
6 pairs of jeans would cost $228.
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A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as
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I hope this helps you

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Show that A(t)=300−250e0.2−0.02t satisfies the differential equation ⅆAⅆt=6−0.02A with initial condition A(10)=50 .
Elina [12.6K]

Step-by-step explanation:

dA/dt = 6 − 0.02A

dA/dt = -0.02 (A − 300)

Separate the variables.

dA / (A − 300) = -0.02 dt

Integrate.

ln(A − 300) = -0.02t + C

Solve for A.

A − 300 = Ce^(-0.02t)

A = 300 + Ce^(-0.02t)

Use initial condition to find C.

50 = 300 + Ce^(-0.02 × 10)

50 = 300 + Ce^(-0.2)

-250 = Ce^(-0.2)

C = -250e^(0.2)

A = 300 − 250e^(0.2) e^(-0.02t)

A = 300 − 250e^(0.2 − 0.02t)

8 0
2 years ago
The area of the triangle shown is 40.0 cm2.
kompoz [17]

Answer:

The height of the triangle is 6.4cm

Step-by-step explanation:

- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.

Which is equivalent to the description of an isosceles triangle.

To find the height, use the equation of the area.

Area = (Base * height) / 2

- We know the value of the area and its shorter side that could be the base.

40cm = (12.5 cm * h) / 2

- Clearing the height would give that:

80cm / 12.5cm = h

h = 6.4cm

The height of the triangle is 12.5cm

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1 year ago
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