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]
2 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]2 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
What is the right choice
never [62]
I think its C but not sure
6 0
2 years ago
If X is 6 what is 1/3x
quester [9]

Answer:

2

Step-by-step explanation:

6/3 = 2

Please help me by marking me brainliest. I'm one away :)

3 0
3 years ago
Read 2 more answers
22.
kykrilka [37]

The option fourth "There is a strong negative relationship between x and y" is correct.

<h3>What is correlation?</h3>

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}

 

The options are:

  • There is no relationship between x and y.
  • There is a weak negative relationship between x and y.
  • There is a strong positive relationship between x and y.
  • There is a strong negative relationship between x and y.

We have data:

x 7 8 9 10 11 12 13

y 13 10 7 6 5 3 0

The value of correlation r = -0.9847

As we know the value of r between -1 to +1

If r = 1 (perfect and positive correlation)

if r = -1 (perfect and negative correlation)

We have r = -0.9847

The value is near to -1 which means there is a strong negative relationship between x and y.

Thus, the option fourth "There is a strong negative relationship between x and y" is correct.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

4 0
1 year ago
this is a diagram of a ramp that will be constructed in one of the new exhibits. what is the height of the ramp
Harrizon [31]
Height = sqrt (34^2 - 30^2)    ( using Pythagoras theorem)
= sqrt256 = 16 inches
4 0
3 years ago
Read 2 more answers
Ai Mi uses 7 gallons of gas to drive 151.9 miles in her car. Find the rate of change.
Fynjy0 [20]

Answer:

21.7

Step-by-step explanation:

Take 151.9/ 7 and that is your answer. All you have to do is divide.

5 0
2 years ago
Other questions:
  • Mr. Jackson ran 7/8 mile on Monday he ran 3/8 of a mile on Wednesday and 5/8 mile on Friday on witch day did Mr Jackson run the
    13·2 answers
  • Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons.
    10·1 answer
  • Complete the following item.<br><br>5 &lt; x &lt;<br><br>8<br><br>11<br><br>16​
    7·1 answer
  • What’s the answer????
    9·1 answer
  • Answer of the question and method how to solve
    14·1 answer
  • What is 12 divided by 2/3 and why? Please help
    12·1 answer
  • Two buildings on level ground are 120 m and 85 m tall respectively. given that the angle of elevation of the top of the taller b
    13·1 answer
  • A car travels 24 km in 15 minutes. How far does it travel in 1 and a half hours
    14·1 answer
  • Two trains leave towns 566 kilometers apart at the same time and travel toward each other. One train travels 11 km/h slower than
    5·1 answer
  • Review the graph of complex number z.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!