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maw [93]
3 years ago
13

For each of the following, compute the present value (Do not round intermediate calculations and round your answers to 2 decimal

places, e.g., 32.16.): Present ValueYears Interest RateFuture value$ 13 7% $15,251 4 13 49,557 29 14 884,073 40 9 548,164
Business
1 answer:
Naya [18.7K]3 years ago
4 0

Answer:

Present Value = Future Value / ( 1 + interest rate) ^ years

1. Present Value = 15,251 / ( 1 + 7%)¹³

= $6,328.62

2. Present value = 49,557 / (1 + 13%)⁴

= $30,394.24

3. Present value = 884,073 / ( 1 + 14%)²⁹

= $19,780.96

4. Present Value = 548,164 / (1 + 9%)⁴⁰

= $17,452.22

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The answer is $0.

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I have no clue tbh lol they think they are the boss of us

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A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by upper c equals 0.
Fantom [35]

Answer:

The cost per month is increasing at a rate $365.

Explanation:

Differentiation Formula

  • \frac{d}{dx}(x^n)= nx^{n-1}  
  • \frac{d}{dx}(a)=0             [ where a is a constant]
  • \frac{d}{dx}(ax^n)=a \frac{d}{dx}(x^n)= anx^{n-1}

Given that,

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by

c=0.2x^2+10,000.

Again given that,

the rate of changing production is 13 unit per month

i.e \frac{dx}{dt}=13

To find the cost per month, we need to find out the value \frac{dc}{dt} when production is changing at the rate 13 units per month and the production is 70 units.

c=0.2x^2+10,000

Differentiating with respect to t

\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0

\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}

Plugging \frac{dx}{dt}=13

\Rightarrow \frac{dc}{dt}=0.4x\times 13

\Rightarrow \frac{dc}{dt}=5.2x

\frac{dc}{dt}|_{x=70}=5.2\times 70 [ plugging x=70]

            =364

[ The unit of c is not given. Assume that the unit of c is dollar.]

The cost per month is increasing at a rate $365.

4 0
3 years ago
NU YU announced today that it will begin paying annual dividends. The first dividend will be paid next year in the amount of $.3
a_sh-v [17]

Answer:

P0 = $9.0767092  rounded off to $9.08

Explanation:

The dividend discount model (DDM) can be used to calculate the price of the stock today. DDM calculates the price of a stock based on the present value of the expected future dividends from the stock. The formula for price today under DDM is,

P0 = D1 / (1+r)  +  D2 / (1+r)^2  +  ...  +  Dn / (1+r)^n  +  [(Dn * (1+g) / (r - g)) / (1+r)^n]

Where,

  • D1, D2, ... , Dn is the dividend expected in Year 1,2 and so on
  • g is the constant growth rate in dividends
  • r is the discount rate or required rate of return

P0 = 0.31 / (1+0.1)  +  0.36 * / (1+0.1)^2  + 0.51 / (1+0.1)^3  +  0.81 / (1+0.1)^4  +

[(0.81 * (1+0.025) / (0.1 - 0.025)) / (1+0.1)^4]

P0 = $9.0767092  rounded off to $9.08

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