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
Tomtit [17]
3 years ago
5

Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

pays 2.4% annual interest and the rest in a stock fund that pays 7.2% annual interest. How much should they put into each account so that they earn 6% interest per year?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

Answer:

$6750 in the bank account and $20,250 in the stock fund

Step-by-step explanation:

If B is the money they put in the bank and S is the amount they put in the stock fund, then:

B + S = 27000

1.024 B + 1.072 S = 1.06 × 27000

Solving the system of equations:

1.024 (27000 − S) + 1.072 S = 28620

27648 − 1.024 S + 1.072 S = 28620

0.048 S = 972

S = 20250

B = 27000 − S

B = 6750

They should put $6750 in the bank account and $20,250 in the stock fund.

You might be interested in
Someone?! answer please
Sonbull [250]
The answer is "$94."

If all 6 friends spent $420 on kayaks, and $144 on food, then they spent $564 in total. Divide $564 by 6 people to see how much each person payed.

420+144=564
564÷6=94
8 0
3 years ago
Read 2 more answers
A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of
mamaluj [8]

Answer:

It is an unusual result contradicting the national survey.

Step-by-step explanation:

National survey showed 44% of college students who drink.

The professor's survey showed that 96/244 = 39% drink.

The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.

Standard deviation is the spread of a set of numbers from their mean.  In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.

4 0
3 years ago
I need help with number 3
yan [13]
First check whether the point (-6,8) is the solution to any of the equations. To check, just plug in the x and y values of the points into the equation and see if they give you a true statement. 
5(-6)+3(8)=-6
-30+24=-6
-6=-6
That's a true statement so the point is the solution to the first equation.
2(-6)+(8)=-4
-12+8=-4
-4=-4
It is a true statement so the point is a solution for both equations
There are no other solution because lines can only intersect in one or infinite points, but that is only if they are the same lines, which is not true in this circumstance.
A. It is the only solution to the set. 
Hope this helps.
7 0
3 years ago
Read 2 more answers
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! Please Do Not Guess. Thank you!
Gnom [1K]

Answer:

B

Step-by-step explanation:

Answer is B because the powers needs to in decending order ....

Please mark as brainliest if it helped Thanks!!!

8 0
3 years ago
Question 6<br> What is the slope of the line whose equation is<br> 2y = 3x + 4?
ludmilkaskok [199]

Answer:

3/2 or 1.5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segmen
    6·1 answer
  • If angle X and Y are complementary angles, which of the following must be true?
    11·1 answer
  • Idk know the answer
    9·2 answers
  • What is the solution to 6|3x+5| less than equal to 14?
    14·1 answer
  • Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
    6·2 answers
  • Point O is the center of the circle. What is the value of X? <br> Answer options: 24, 15, 27, 20
    12·1 answer
  • If WX = x + 5 and XY = 3x - 13, then what is the value of x?
    14·1 answer
  • 19 = -23+ 6(2 - p)<br> Can someone please help me?!?!
    5·2 answers
  • Can someone solve Pythagorean theorem​
    14·1 answer
  • 2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!