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
WINSTONCH [101]
3 years ago
13

Samantha divides $16,000 into three investments: a savings account 3 points paying 7% annual interest, a bond paying 9%, and a m

oney market fund paying 12%. The annual interest from the three accounts is $ 1640, and she has three times as much invested in the band as in the savings account. What amount does she have invested in each account?
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

Step-by-step explanation:

In this case, a system of equations must be generated with the information given in the statement.

Let x be the amount of the investment in the savings account

Let y be the amount of the investment in the payment of bonds

Let z be the amount of investment in the money market

Now, the first equation would be that of total investment:

x + y + z = 16000

The second equation is that of interest:

0.07 * x + 0.09 * y + 0.12 * z = 1640

Last, her equation has invested three times more in the bond payment than in the savings account:

3 * x = y

So we have 3 equation with 3 unknowns. Therefore there is a solution.

x + y + z = 16000

0.07 * x + 0.09 * y + 0.12 * z = 1640

3 * x = y

In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

You might be interested in
is the relationship shown in the table proportional? if so use it to complete a proportions web. if not, explain why.​
irakobra [83]

Answer:

No, because it doesn't have a constant pattern and the ratios are nonequivalent

6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
sveticcg [70]

Yo sup??

we can solve this question by applying trigonometric ratios

let the angle I be x, then

tanx=4/6

x=33.7

Hope this helps

4 0
3 years ago
Solve the system of equations: <br> x-y=4<br> 4x-7z=24<br> 4y+z=8
mart [117]

Answer:

Solve for x, y, and z. 1st Equation: 2x + 2y + 4z = 48. 2nd Equation: 2x + 9y + 7z = 105. 3rd Equation: x + 4y + z = 37. Subtract the 2nd Equation from the 1st Equation. This will eliminate the variable “x”.

Step-by-step explanation:

4 0
2 years ago
Madison is borrowing $4,000 to buy a new car. With which of these payment plans would she pay the least amount of interest? A 30
yKpoI14uk [10]

Answer:

A 30 monthly payments of $147.92

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Translate the following words into equations and Solve each equation 15 is equal to 8 more than a number
qwelly [4]

Answer:

15=8+x

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Please answerrrrrrrrrrr
    11·1 answer
  • What is the domain and range of points (-6,-6) (6,2)
    5·1 answer
  • explain how the position of the decimal point changes in a quote as you divide by increasing powers of 10
    7·2 answers
  • Is 1/3 less than or greater than 5?
    15·1 answer
  • Square root of 9 + square root of 64?
    14·2 answers
  • Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of blueberries, and $2 per pound of apple
    11·1 answer
  • What is a simplified form of the expression 2(–x + 2) + 3x?
    8·2 answers
  • Whats 9+10?? like i need to know
    8·2 answers
  • What is the solution for this set of equation (2r-3)-4=37
    12·1 answer
  • I NEED PLEASE ASAP !
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!