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Alik [6]
3 years ago
15

Mechanico Inc. wants to buy a machine that costs $45,000. It expects that the machine will yield $30,000, 520,000, and $15,000 f

or 3 years with a
discount rate of 10 percent. What would be the Net Present Value (NPV) of the machine?
The NPV of the machine is $?
Mathematics
2 answers:
Papessa [141]3 years ago
7 0

Answer:

$423,303.72

Step-by-step explanation:

-The present value factor, v, is given as:

v=\frac{1}{1+i}

where i is the discount rate.

-The net present value can then be calculated as:

NPV=-C_o+C_fv^t\\\\\\=-45000+30000(0.9091)+520000(0.9091)^2+15000(0.9091)^3\\\\=423303.72

Hence, the machine has a net present value of $423,303.72

8_murik_8 [283]3 years ago
7 0

Answer:

$10,071.37

Step-by-step explanation:

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Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.​
Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = 150\times \frac{4}{(4+1)}

                                          = 150\times \frac{4}{5}

                                          = £120

Similarly, amount received by Tanya = 150\times \frac{1}{(4+1)}

                                                             = £30

Difference in their amounts = 120 - 30

                                              = £90

Therefore, Ivan got £90 more than Tanya.                                                                                                        

7 0
3 years ago
Help me please.
mart [117]

Answer:

∧ABC ≈ ∧PQR  Angle-Angle Similarity Postulate

∧  ABC ≈ ∧  DEF   Side-Side-Side Similarity Postulate

Step-by-step explanation:

5 0
3 years ago
If h(x) is the inverse of f(x), what is the value of h(f(x))?<br> OO<br> 0 1<br> f(x)
kozerog [31]

Answer:

x.

Step-by-step explanation:

h(f(x) = x.

For example the inverse of  f(x) = 2x  is g(x) = x/2

f((gx)) 2 (x/2)

= 2x / 2

= x.

8 0
3 years ago
Read 2 more answers
Given a term in the geometric sequence and the common ratio find the first five terms the explicit form and the recursive formul
Pani-rosa [81]
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500

Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n

Recursive formular is a_{n+1} = 5a_{n-1}
5 0
3 years ago
What is the formula for the nth term of the given sequence 100, 20, 4, …
Naily [24]

Answer:

a_n=100 \left(\dfrac15\right)^{n-1}

Step-by-step explanation:

General equation of geometric sequence:  a_n=ar^{n-1}

Given:

  • a₁ = 100
  • a₂ = 20
  • a₃ = 4

\implies a_1=a=100

\implies a_2=100 \cdot r=20

\implies a_3=100 \cdot r^2=4

Common ratio:

r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15

Therefore:

a_n=100 \left(\dfrac15\right)^{n-1}

6 0
2 years ago
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