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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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now 100% - 12% is 88%, so the 88% leftover will just be water.

if 12% is 5g, how much is 88%?

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2 years ago
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G=4cm-3m solve for m
adell [148]

m • (g4c - 3)

(1):g4 was replaced by g^4.

Pulling out like terms:

2.1:Pull out like factors:

g4cm - 3m = m • (g4c - 3)

Trying to factor as a Difference of Squares :

2.2:Factoring: g4c - 3

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2 years ago
Connor has seven more nickels than dimes and twice as many quarters as dimes. If he has $6.20, how many nickels does he have?
Novosadov [1.4K]
Connor has 16 nickels. If you have 9 dimes (90 cents) and you doubled it that would give you 18 quarters ($4.50). you have 7 more nickels than dimes, so you do 7+9 which equals 16 nickels (80 cents). 90+450+80=620.
8 0
2 years ago
Which value of a would make the expression 5 1/3 ÷ 4/a equivalent to a whole number?
nordsb [41]

Answer:

a is any number that is multiples of 3

3, 6, 9, 12, etc...

Step-by-step explanation:

5 1/3 ÷ 4/a

16/3 * a/4

16a/12

\frac{4}{3} a

since denominator is 3, a can be any whole number that is a multiple of 3

\frac{4}{3}(3) = 4

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so on and so on....

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Anvisha [2.4K]

She made a mistake when she subtracted x1 from x2.

Step-by-step explanation:

Step 1 :

a)

The formula used by Lorena to calculate the slope between 2 points is correct

So the statement given in option 1 is not the reason for her mistake

Step 2:

b)

She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope

Hence the statement in second option is not true

Step 3:

c)

While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.

Hence she has made a mistake in subtracting x1 from x2 and this statement is true

Step 4:

d)

She has not made any mistake in subtracting y1 from y2. Hence this statement is not true

4 0
2 years ago
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