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
Nitella [24]
3 years ago
6

Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the

present value and accumulated amount if interest earned is 3.5% compounded continuously.
Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

You might be interested in
Joe is using the function E= 1.89x + 2.89y to minimize his expenses when selling
stepan [7]

Answer:

(d)\ \$13.34

Step-by-step explanation:

Given

E = 1.89x + 2.89y -- Objective function

Constraints:

2x + y > 10

x + 2y > 8

x,y>0

Required

Minimum value of E

To do this, we apply graphical method

See attachment for plots of 2x + y > 10 and x + 2y > 8

From the attached plot, the point that satisfy x,y>0 is:

(x,y) = (4,2)

So, we have:

E = 1.89x + 2.89y

This gives:

E =1.89 * 4 + 2.89 * 2

E =7.56 + 5.78

E =13.34

7 0
2 years ago
What is 2 pounds divided by 2/3?
vivado [14]

Answer:

3 pounds

Step-by-step explanation:

8 0
2 years ago
(Zoom in so you can see) I need help on my math homework plz can somebody plz help me out thanks and plz put it correctly thank
murzikaleks [220]
You need to find the area of one of those bigger triangles, and one of those smaller triangles. Then multiply each area by 6 (because there are 6 sides of the big triangles, and the 6 small triangles make up the other side) and add them together. The area of a triangle is 1/2 times base times height equals area.... Equation: 1/2 (b * h)  = A
7 0
3 years ago
I need help ASAP anyone
eduard

Answer:

90

Step-by-step explanation:

there is 6 sides of box

2 bigger and 4 smaller

area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50

now come to the smaller sides ( we have 4 here)

are of one side is 2× 5 = 10

so are of all 4 sides is 10× 4 = 40

now we get area of 4 smaller sides and 2 bigger sides

total area of box is 40+ 50 = 90

hope you understand

5 0
3 years ago
2.) What value for c will make the expression a perfect square trinomial?
andre [41]

Answer : \frac{49}{4}

Given expression is x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is \frac{-7}{2}

Square of \frac{-7}{2} is (\frac{-7}{2})^2 = \frac{49}{4}

So the expression becomes x^2 - 7x +  [tex] \frac{49}{4} that gives perfect square trinomial

Hence , the value of 'c' is \frac{49}{4}


6 0
3 years ago
Read 2 more answers
Other questions:
  • The drop box options:<br> &lt;<br> &gt;<br> Please I need help:(
    15·1 answer
  • Find the y-intercept of the line. Y=16/13x - 19/6
    8·2 answers
  • You and your friend collect 180 cans for a food drive. The ratio of cans you collected to cans your friend collected is 4 to 5.
    14·1 answer
  • Is 2x/3 the same as (2/3)x ? Just wondering
    11·2 answers
  • Parentheses 3 squared - 2 cubed parentheses 66<br><img src="https://tex.z-dn.net/?f=%28%20%7B3%7D%5E%7B2%7D%20%20-%20%20%7B2%7D%
    8·1 answer
  • What is value of x for which the equation 9^-6 x 9^x = 1
    7·2 answers
  • 6. This box plot shows the number of minutes passengers spent in a station waiting room. What is the range of times spent in the
    8·1 answer
  • 3х + 4 = 11 -Зx +y=- |​
    8·1 answer
  • 50 POINTS!!!!!! Please help me!!!<br> What is m&lt;4+ m&lt;5+ m&lt;6? Please help me!!!
    11·1 answer
  • In the diagram below, overline AE cong overline BE overline DE cong overline DC and m angle D=32^ . Find m angle A .
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!