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
ICE Princess25 [194]
3 years ago
7

In this line of ,the ratio of red circles to blue circles is 1:3 , How many more red circles would need to be added to make the

ratio of red to blue 3:1
Mathematics
1 answer:
avanturin [10]3 years ago
5 0

8 more red circles because if you have 9 red circles and 3 blue ones the ratio would be 9:3 and if you simplify that down to 3:1 that’s the answer. So you would need to add 8 more red circles

You might be interested in
George is considering two different investment options. The first option offers 7.4% per year simple interest on the
jok3333 [9.3K]

Answer:

Part A: The value of the simple interest investment at the end of three years is $12,220

Part B: The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C: The simple interest investment is better over the first three years

Part D: I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Step-by-step explanation:

Part A:

A = P + P r t, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ First option offers 7.4% per year simple interest

∴ r = 7.4% = 7.4 ÷ 100 = 0.074

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A = 10,000 + 10,000(0.074)(3)

∴ A = 10,000 + 2,220

∴ A = 12,220

The value of the simple interest investment at the end of three years is $12,220

Part B:

A=P(1+\frac{r}{n})^{nt}, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • n is a number of periods of a year
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ The second option offers a 6.5% interest rate compounded quarterly

∴ r = 6.5% = 6.5 ÷ 100 = 0.065

∴ n = 4 ⇒ quarterly

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A=10,000(1+\frac{0.065}{4})^{(4)(3)}

∴ A=10,000(1.01625)^{12}

∴ A = 12,134.08

The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C:

∵ 12,220 > 12,134.08

∴ The simplest interest investment is better than the compounded

    interest investment at the end of three years

The simple interest investment is better over the first three years

Part D:

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Look to the attached graph below

  • The red line represents the simple interest investment
  • The blue curve represents the compounded interest investment
  • (Each 1 unit in the vertical axis represents $1000)
  • After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest
  • After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

4 0
3 years ago
PLS PLS HELP!!!! Write and solve an inequality to find the possible values or x if the area of the
Wittaler [7]

Answer:

width=2 ft, length=(3x+4)ft

Area of Rectangle=width x length

                             =2ft . (3x+4)ft

                             =6x+8 ft sq

Area of Rectangle <56 ft sq

6x+8 ft sq <56 ft sq

6x  < 56 ft sq - 8 ft sq

6x <  48 ft sq                       Substeracting  8  on both sides

6x/6 < 48 ft sq/6                 Dividing by    6 on both sides  

x < 8 ft sq

Step-by-step explanation:

6 0
3 years ago
What quantity should be added to both sides of this equation to complete the square x^2+12x=-15
anzhelika [568]

Answer:

36

Step-by-step explanation:

5 0
3 years ago
15 pts + brainliest to right/best answer
den301095 [7]

Split the second term in 5x^2 + 23x + 26 into two terms

5x^2 + 13x + 10x + 26

Factor out common terms in the first two terms, then in the last two terms

x(5x + 13) + 2(5x + 13)

Factor out the common term; 5x + 13

<u>(5x + 13)(x + 2)</u>

6 0
3 years ago
7 + (4 + 6) = 7+n name the propeerty
snow_tiger [21]

Answer:

n=15

Step-by-step explanation:

7+(4+6)=7+n

28+6=7+n

22=7+n

22-7=n

15=n

8 0
3 years ago
Other questions:
  • Given ABCD ~ EFGH, what is FG?<br> A.3.6<br><br> B.4.5<br><br> C.8<br><br> D.10
    10·1 answer
  • What is .06 rounded to the hundredths place?
    10·2 answers
  • Solve the following for x:
    8·1 answer
  • You get in an elevator and go down 8 floors. You exit on the 16th floor. Write and solve an equation to find what floor you got
    14·1 answer
  • DONT SKIP PLZ
    5·2 answers
  • What is this can anyone help me
    8·1 answer
  • If your class received a new student today, describe how you would teach the new student to perform the 90 degrees clockwise rot
    9·1 answer
  • Find the missing side of the triangle
    7·1 answer
  • 3 divided by -125<br><br> pls if you help me out. , you'll get 48 points
    15·2 answers
  • PLS HELP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!