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
Sholpan [36]
3 years ago
12

You have $250,000 in an IRA individual Retirement Account at the time you retire. You have the option this money in two funds: F

und A pays 2.8 annually and Fund B pays 78% annually. How should you divide your money between Fund A and Fund B to produce an annual interest income of $10,000? of investing?
Mathematics
1 answer:
love history [14]3 years ago
3 0
So to start off with this problem, let us call the amount invested in Plan A and B as a and b respectively.

So equation 1: a + b = 250,000

Next, we need to get an equation which is equal to 10,000. So the interest rate in plan a + interest rate in plan b would be equal to 10,000. Rewriting this sentence will give us:

Equation 2: .028a + 0.078b = 10,000

Rewrite the first equation into a = 250,000 - b, and then plug the value into equation 2.

.028(250,000 - b) + 0.078b = 10,000

7,000 - 0.028b + 0.078b = 10,000
-0.028b + 0.078b = 10,000 - 7,000
0.05b = 3,000
b = $60000 amount invested at 2.8% while 
250,000 - 60,000 = $190,000 is the amount invested at 7.8%

You might be interested in
A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?
vovikov84 [41]

Answer:

SA=384\ in^2

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is r=4\ in

The diameter of the sphere is two times the radius

D=2r=2(4)=8\ in

so

The length side of the cube is

b=8\ in

Remember that

The surface area of a cube is equal to the area of its six faces

so

SA=6b^2

substitute the value of b

SA=6(8)^2

SA=384\ in^2

6 0
3 years ago
Show work please and thanks!
kompoz [17]
Do you understand what I did here?

5 0
3 years ago
PLEASE HELP!!!
gregori [183]
Your answer is B. I hope this is helpful!
3 0
3 years ago
its question #2 my son and I cannot figure out how to do this other than dividing. however, when u divide 59 into 422, are you s
anyanavicka [17]
Honestly I can see an argument for 7 shelves or for 8 shelves. 

When you do the calculation; \frac{422}{59}=7.15 You get 7.15 shelves. Clearly you cannot have .15 of a shelf so the logician in me wants to say you need 8 shelves! 

But if the assignment is aimed estimation skills, (Which is what I assume is being implied by the title of the assignment), then the easier calculation of \frac{420}{60}=7 is probably what the teacher was hoping for.

You might have been accidentally been calculating \frac{59}{422} =.139. Remember division is NOT communitive! i.e.1\div2\neq2\div1.

From the image;
The first step was to see that 59 can not go into 4..resulting in the zero above the 4, multiplying 0 by 59 and subtracting 0 from 4. 

The second step begins by bringing down the 2, seeing that 59 can not go into 42..resulting in the zero above the 2, multiplying 0 by 59 and subtracting 0 from 42.

The third step begins by bringing down the 2, seeing that 59 can go into 422 7 times (I tested this on the right by a short multiplication problem)..resulting in the 7 above the 2, multiplying 7 by 59 and subtracting 413 from 42.

This process continues....

8 0
3 years ago
Read 2 more answers
Find the equation of a line perpendicular to -4x+y=10 that passes through the point (-4,9)
Oliga [24]

Answer:

y=-1/4x+8

Step-by-step explanation:

To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.

Before that, we need to change the equation into slope-intercept form.

-4x+y=10

y=4x+10

The opposite reciprocal of the slope is -1/4.

Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).

y-y1=m(x-x1)

y-9=-1/4(x-(-4))

y-9=-1/4x-1

y=-1/4x+8

4 0
3 years ago
Other questions:
  • What is the domain of the function ​f(x) = 2x^2 - 3​?
    10·1 answer
  • Heather will make flower flower arrangements with 5 rose in each arrangement . She will use the equation y = 5x to find the tota
    5·1 answer
  • Solve for X (simple)
    10·1 answer
  • Simplify<br> (y + 1)<br> (y + 1)
    8·1 answer
  • the units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than the ori
    15·1 answer
  • What is the answer?​
    13·1 answer
  • A lawn sprinkler is set in the corner of the backyard. Thomas has the sprinkler set to rotate at 90 degrees. He knows that the s
    14·1 answer
  • 3 + 6x = 15?<br> pls help :D
    6·1 answer
  • Help!!!<br> I will mark the person who answers with an actual answer brainliest<br> Due soon
    10·2 answers
  • Write −12 as a ratio of two integers.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!