1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maslowich
3 years ago
8

Capital Value An investment produces a perpetual stream of income with a flow rate of

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

$30,000

Step-by-step explanation:

The capital value is given by

\int_{0}^{\infty} R(t) e^{-r t} dt

where R(t) is annual rate

r - annual rate of interest

capital value = \int_{0}^{\infty} 1200 e^{0.03t} e^{-0.07 t} dt

                      = lim at b tend to infinity\int_{0}^{b} 1200 e^{0.03t} dt

                      =lim at b tend to infinity \left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b

-30,000 { lim at b tend to inifinity(e^{-0.04 b) = e^0]

Asb\rightarrow \infty,  e^{-0.04 b} \rightarrow 0

\int_{0}^{\infty} 1200 e^{0.03t} e^{-0.07 t} dt = -30,000(0 -1) =$30,000

You might be interested in
The scatter plot shows the relationship between the time since Martha has left work and the distance she is from home.
telo118 [61]
The correct answer is A.

The independent variable is time and the dependent variable is distance; this means the slope tells us how far she goes per minute.  Since the slope is negative and we are referring to her distance from her house, this means the distance from her house is decreasing, which means she is getting closer to her house.
5 0
3 years ago
Solve the equation for all real solutions.<br> 8w2 + 2w + 2 = 3
fredd [130]

Answer:

Step-by-step explanation:

w=  1 /4   or w=  −1/ 2

3 0
3 years ago
Help please...
stealth61 [152]

Answer:

1) 80%  2)25%

Step-by-step explanation:

1)80% of $2.50 = $4.50

2)25% of $9 = $2.25

  9 - 2.25 = $6.75

7 0
3 years ago
Which is an equation
Montano1993 [528]
The equation is option number c because someth = smth
4 0
3 years ago
Read 2 more answers
There are a total of 18 socks. If the ratio of purple socks to white socks is 2 to 4, how
ehidna [41]

Answer:

12 of them

Step-by-step explanation:

2:4

4:8

6:12

8 0
3 years ago
Read 2 more answers
Other questions:
  • Paige borrows $700 from her parents for a new computer. She repays $100 the first month, then begins to repay her parents $75 pe
    13·1 answer
  • Michelle spent $32 on hot dogs and hamburgers. Hot dogs were $5 and hamburgers $6.if she bought a total of 6 items .how many of
    9·2 answers
  • suppose your friends parents invest 10,000 in an account paying 6% compounded annually.what will the balance be after 5 years
    5·1 answer
  • One positive number exceeds another by 7​, and their product is 78. Find the numbers.
    8·1 answer
  • thomas bought a bag of jelly beans that contained 10 red, 15 blue, and 12 green. what is the probiblity of thomas reaching into
    9·1 answer
  • A common resistance of carbon resistors is 33 ΩΩ. How many 33 ΩΩ resistor, connected in parallel, are needed to give a total res
    13·2 answers
  • Evaluate 6 - 2(-1) + | -5 |
    9·1 answer
  • Which first step for solving the given system using substitution results in an equation without fractions?
    10·1 answer
  • twenty seven out of forty dentists recommended a certain whitener for teeth. if 1080 dentists recommended the whitener in the su
    14·1 answer
  • F∧-1(-2)<br> i need help solving this f to -1 power times -2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!