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
Marianna [84]
3 years ago
6

this circle has a diameter of 5 inches which of these measurements is closest to the circumference of the circle 15.7 7.85 31.4

19.625
Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

Answer:

The closest measurement is 15.7

Step-by-step explanation:

The formula for circumference is 2\pi r

The diameter is double the radius, so to get the radius we divide by 2.

5 divided by 2 is 2.5

Knowing "r" is 2.5 we can plug that into our equation and solve.

2 · \pi · 2.5 ≈ 15.71

The closest measurement is 15.7

You might be interested in
Write an expression that is equivalent<br> to 2/8b+(3/8b+4/5)
pogonyaev

Answer:

i dont know im wondering to o-o

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A young sumo wrestler decided to go on a diet to gain weight rapidly. He gained weight at a rate of 5.5kg a month. After 11 mont
kondaur [170]

Answer:

W(t)=5.5t+79.5.

Step-by-step explanation:

Please consider the complete question.

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).  

Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.

Now, we will use point-slope form of equation as:

y-y_1=m(x-x_1), where,

m = Slope

(x_1,y_1) = Given point on the line.

Upon substituting coordinates of point (11,140) in above formula, we will get:

y-140=5.5(x-11)

y-140=5.5x-60.5

y-140+140=5.5x-60.5+140

y=5.5x+79.5

Therefore, our required function would be W(t)=5.5t+79.5.

3 0
3 years ago
Identify two angles that are marked
Natalka [10]

Answer:

Angles G and H are congruent.

Step-by-step explanation:

5 0
2 years ago
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
Question 10 (10 points)
Verdich [7]

Answer: $-84

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Please answer!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • QUICK MATH QUESTION! I NEED INSTANT HELP!
    5·1 answer
  • The number can be divided by the least common multiple of 3 and 5
    8·1 answer
  • What is 25% of 2,500
    8·2 answers
  • Simplify the expression -2b-6+3b-2
    14·1 answer
  • Simplify the following expression.<br> 3m+4n-6n
    14·1 answer
  • Given: XY || ZW
    5·2 answers
  • Find the volume of the cylinder. SHOW ALL WORK
    9·1 answer
  • The median income for a sample of people from Chicago is about $60,000 and the
    10·2 answers
  • A cell phone company charges $400 for a new phone and $50 for a monthly plan. If C (t) is a rational function that represents th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!