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
olganol [36]
2 years ago
7

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las t

res inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?
Mathematics
1 answer:
Drupady [299]2 years ago
4 0

Answer:

  • $5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

  • <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>

==================

Let the parts be x, y and z

<u>As per given we get below system of equations:</u>

  • x + y + z = 25000
  • 0.1x + 0.12y + 0.16z = 3200
  • 0.1x + 0.2y = 0.16z

<u>Substitute 0.1x + 0.2y in the second equation:</u>

  • 0.16z + 0.16z = 3200
  • 0.32z = 3200
  • z = 3200/0.32
  • z = 10000

<u>Now we have:</u>

  • x + y + 10000 = 25000 ⇒ x + y = 15000

and

  • 0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

<u>Multiply the second equation and then subtract the first one:</u>

  • 10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
  • x + 1.2y - (x + y) = 16000 - 15000
  • 0.2y = 1000
  • y = 10000

Then

  • x = 15000 - 10000 = 5000

<u>So the parts are:</u>

  • $5000 at 10%, $10000 at 12% and 10000 at 16%
You might be interested in
Which diagram represents the net of a cube? Circle all that apply.
Zigmanuir [339]

Answer:

B 100%

Step-by-step explanation:

3 0
1 year ago
Describe and correct the error a student made when graphing y+5=-3/4(x-8).
Elis [28]
In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
8 0
3 years ago
Find the area of the circle with the given radius or diameter. Use 3.14.
elena55 [62]

Answer:

Step-by-step explanation:

If the radius, r, is given, then the area of the circle is A = πr².

If the diameter, d, is given, then the circle area is A = π(d/2)², or A = πd² / 4.

4 0
3 years ago
1/4 es un decimal exacto​
expeople1 [14]

Answer:

0.25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many hours would it take Natalie if she worked alone?
Annette [7]
It would take Natalie 6 hours by herself since she will finish in twice the time if she had Caesar to help.
3 0
1 year ago
Other questions:
  • What is the sum of 1 minus 7\12
    11·2 answers
  • Explain why every whole number is a rational number
    9·1 answer
  • Which of these quotients is not possible to find?
    8·1 answer
  • Pls show work. 3.14 for pi
    15·1 answer
  • HAI I NEED HALP SO YEAH PLZ
    6·1 answer
  • Quick help me on this!!!
    14·1 answer
  • What does 30000000000-29293939939 equal
    8·1 answer
  • The perimeter of a park is 300 feet the length of the park is 50 feet longer than the width. Find the length
    5·1 answer
  • NEED ASAP!!<br><br><br> Find the surface area of the pyramid.
    7·1 answer
  • The record high temperature recorded one year was 93°F while the record low temperature that year was -21°F. How much warmer was
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!