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
Musya8 [376]
3 years ago
6

You have already invested $400 in a stock with an annual return of 11%. How much of an additional $1,200 should be invested at 1

2% and how much at 6% so that the total return on the entire $1,600 is 9%? (Round each answer to the nearest cent.)
Mathematics
1 answer:
notka56 [123]3 years ago
5 0
<span>The annual return on $400 in stock is 0.11*400 = $44
</span>

The total return you want is 0.09 * 1600 = $144

Let a be the amount invested at 12% and b be the amount invested at 6% 

0.12a + 0.06b = 144 - 44

12a + 6b = 10000

a + b = 1200

Put those 2 equations together and solve for a and b: 

12a + 6b = 10000 

a + b = 1200

Using elimination, a = $466.67 and b = $733.33

<span>So, out of an additional $1200, invest $466.67 at a rate of 12% and $733.33 at a rate of 6%</span>

You might be interested in
Nisha collects comic books, and she convinced her friend Hakim to start collecting as well. Every week, they go to the store tog
andreyandreev [35.5K]

By using the given table, we will get the linear equation:

h = n - 9

<h3>How to find the equation for Hakim?</h3>

We know that they always get comic books together, so always that Nisha's collection increases by one, Hakim's collection will also increase by one, so we will have a linear equation.

Now, if you look at the given table, you can see that Hakim's collection is always 9 units less than Nisha's collection, then the linear equation that models the relation between the two collections, h and n, is really straightforward, it will be:

Hakim's collection = Nisha's collection - 9

Using the variables, we get:

h = n - 9

That is the linear equation Hakim wanted.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

6 0
1 year ago
Jason did yard work for 3 hours and earned $18. What are the unit ratios in hours per dollar and dollars per hour?
GalinKa [24]

Answer:

1:6       One hour of work is worth $6

Step-by-step explanation:

$18/3= $6

5 0
3 years ago
Read 2 more answers
In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
Paul [167]
A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves
y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend. 

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables. 

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices. 

(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding. 
8 0
3 years ago
today, 6 friends went out for lunch. their total Bill was $41.88, including tax and gratuity. they decide to split the Bill equa
Mariulka [41]
Each person will get back $3.02

4 0
3 years ago
Read 2 more answers
Find the limit, if it exists, or type dne if it does not exist.
Phantasy [73]
\displaystyle\lim_{(x,y)\to(0,0)}\frac{\left(x+23y)^2}{x^2+529y^2}

Suppose we choose a path along the x-axis, so that y=0:

\displaystyle\lim_{x\to0}\frac{x^2}{x^2}=\lim_{x\to0}1=1

On the other hand, let's consider an arbitrary line through the origin, y=kx:

\displaystyle\lim_{x\to0}\frac{(x+23kx)^2}{x^2+529(kx)^2}=\lim_{x\to0}\frac{(23k+1)^2x^2}{(529k^2+1)x^2}=\lim_{x\to0}\frac{(23k+1)^2}{529k^2+1}=\dfrac{(23k+1)^2}{529k^2+1}

The value of the limit then depends on k, which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.
8 0
3 years ago
Other questions:
  • Did i find the inverse right?
    15·1 answer
  • (02.02)Pat paid $85.50 for renting a scooter for 6 hours. What was the rate per hour for renting the scooter? (Input only numeri
    9·1 answer
  • What do you think is worth more 200 shares or penny pickles or 1 share of exxon
    10·1 answer
  • 6/7 (1/6-4/7) find the difference??
    8·1 answer
  • What the answer for 14+1/7x=28
    6·1 answer
  • What is the midpoint of the line segment graphed below?<br>(-12-3)<br>(5-10)​
    13·2 answers
  • To rationalize the denominator 2 sqrt 10/ 3 sqrt 11 you should multiply the expression by which fraction
    9·2 answers
  • Please solve my graph I don’t understand
    8·1 answer
  • A line passes through the points (4, -1) and (2,3). What is the slope of the line?​
    7·2 answers
  • What is the slope-intercept equation<br> for the following line?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!