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
OleMash [197]
3 years ago
12

Is 4320 perfect, abundant, or deficient? also perfect numbers? Explain why all positive multiples of 6 greater than 6 are aburnd

ant numbers.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

The number 4320 is an abundant number.

Multiples of 6 is a perfect number.

Step-by-step explanation:

Given : Number 4320

To find : Is 4320 is perfect, abundant, or deficient?

Solution :

1) A perfect number is one whose factors are equal to a given number i.e. P(n)=n

2) An abundant number is a composite number whose factors, without the number itself, have a sum greater than the number i.e. P(n) >n

3) A deficient number is a composite number in which the sum of its  factors is less than the given number i.e. P(n) < n

Number - 4320

Factors are

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320.

If we disregard 4320 as a factor,  

Then the sum is

1+2+3+4+5+6+8+9+10+12+15+16+18+20+24+27+30+32+36+40+45+48+54+60+72+80+90+96+108+120+135+144+160+180+216+240+270+288+360+432+480+540+720+864+1080+1440+2160=10800

Now, 10800 >4320

Therefore, The number 4320 is an abundant number.

If we take positive multiples of 6,

Factors of 6, 1,2,3 and 6

The sum of factors except 6,

1+2+3=6

Which means Multiples of 6 is a perfect number.

You might be interested in
Is a repeating .3 a real number?
Tanya [424]
Yes .3 repeating is a real number
4 0
3 years ago
Read 2 more answers
The value of 7 in 375,081 is 7000
Morgarella [4.7K]
70,000 when a zero is in between you gonna count it
5 0
3 years ago
Can somebody help me with this math problem?
ankoles [38]
She needs 0.1 because 4x4 is 16. :)
7 0
3 years ago
You are replacing the linoleum in a 14.5 by 12.5 kitchen, how many square feet of carpet should you buy
lana [24]

Answer:

The area of the room is 125 square feet because 12.5 times 10=125 square feet. As a result, you will spend $187.5 for it cost $1.5 to buy one square foot of carpet, and now we need 125 square feet to cover the room which 125 times 1.5 to get 187.5. Hope it help!

Step-by-step explanation:

3 0
3 years ago
The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x
Semenov [28]

Answer:

Option C.The decrease in the value of the motorcycle, which is 9%

Step-by-step explanation:

we have a exponential function of the form

f(x)= ab^x

where

a is the initial value

b represents growth or decay factor

If b >1 then it is an exponential growth

if 0<b<1 then it is an exponential decay

In this problem

a=$19,000

b=0.91 -----> it is exponential decay factor

Find the rate of decrease r

b=(1-r)

substitute

0.91=1-r

r=1-0.91=0.09

Convert to percentage

0.09*100=9%

therefore

0.91 represent the decrease in the value of the motorcycle, which is 9%

7 0
3 years ago
Read 2 more answers
Other questions:
  • CAN SOMEONE SHOW ME STEP BY STEP?!?
    15·1 answer
  • The sides of a triangle are 8, 14, and 17 units. Is it a right triangle?<br> • No<br> • Yes
    5·1 answer
  • Is 9(y-2) equivalent to 18- 9y
    10·1 answer
  • For the data set below, which of the following measures is greatest? (20, 25, 30, 31, 32, 45, 45, 80). I will give 28 points!
    13·1 answer
  • Suppose that at Elkhorn High School, the number of hours per week that seniors spend on homework is approximately Normally distr
    10·1 answer
  • Solve this quadratic equation using the quadratic formula. 2x2 - 10x + 7 = 0
    10·1 answer
  • Which transformations would result in the image shown?
    13·1 answer
  • Who ever does this whole page , I will mark you as brainliest!!
    12·1 answer
  • Please help I need to turn this in tonight
    10·2 answers
  • Death Valley National Park is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!