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
pentagon [3]
3 years ago
15

A grocery store has a shelf with half-gallon containers of milk. What type of number best represents the total number of gallons

? you the choices are
Real number , rational number, irrational number, integer, and whole number
Mathematics
1 answer:
Veronika [31]3 years ago
8 0
As a number, half-gallon can be represented as 0.5.
In order to answer this question we will define each term:

whole numbers are numbers that can be defined as a <span>number without fractions which are greater or equal than 0. E.g. 2 0 1 5 6 85
</span>
integer numbers are numbers that can be defined as a number without fractions but which can be either equal to 0 or greater and lower than 0
E.g. -9 -68 8 0 59

rational numbers are  any number that<span> can be expressed as a fraction p/q of two integers E.g. 0.5 = 1/2 1 = 1/1 1.25 = 5/4
</span>
irrational numbers are those which have an approximate value E.g. pi = 3.14...
√2 = 1.41.....

real numbers are all of the above

From all those kind of choices the most accurate representation is rational numbers.
You might be interested in
ION 1: BASIC ANNUITIES AND APPLICATIONS [20 MARKS]
DENIUS [597]

Answer:

Find the present and future value of $1000 received every month end for 20  years if the interest rate is J12 = 12%

  • $90,819.42

Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.a. and if the first payment of $10,000 is received  at the end of 10 years.

  • $26,935.64

1.  John is currently 25 years old. He has $10,000 saved up and wishes to deposit  this into a savings account which pays him J12 = 6% p.a. He also wishes to  deposit $X every month into that account so that when he retires at 55, he can withdraw $2000 every month end to support his retirement. He expects to live up till 70 years. How much should he deposit every month into his account?

  • $178.7644 ≈ $178.76

Step-by-step explanation:

there are two ways to solve this question:

  • using the formula for present value of annuity
  • using an annuity table

since this question is about monthly payments, I will use the annuity formula:

PV = payment x {[1 - (1 + r)⁻ⁿ]/r}

PV = 1000 x {[1 - (1 + 0.01)⁻²⁴⁰]/0.01}

r = 12% / 12 = 1%

n = 20 x 12 = 240

PV = $90,819.42

for the annuity due, we can use an annuity table since payments are annual:

payment $10,000

20 years

12% interest rate

PV annuity due = $10,000 x 8.3658 = $83,658

since the first payment is received 10 years form now, we must determine the PV = $83,658 / (1 + 0.12)¹⁰ = $26,935.64

1)

monthly payment = total amount / discount factor

total amount = monthly payment x discount factor

  • monthly payment = 2,000
  • discount factor = D = {[(1 + r)ⁿ] - 1} / [r(1 + r)ⁿ] = D = {[(1 + 0.005)¹⁸⁰] - 1} / [0.005(1 + 0.005)¹⁸⁰] = 1.45409 / 0.01227 = 118.5032

total amount = $237,006.45

we have to divide John's account in two:

  • the future value of $10,000 = $10,000 x (1 + 6%)³⁰ = $57,434.91
  • so he needs to save an additional $237,006.45 - $57,434.91 = $179,571.54

future value of annuity = monthly payment x {[(1 + r)ⁿ - 1]/ r}

monthly payment = future value /  {[(1 + r)ⁿ - 1]/ r}

  • future value = $179,571.54
  • {[(1 + r)ⁿ - 1]/ r} =  {[(1 + 0.005)³⁶⁰ - 1]/ 0.005} = 1,004.515042

monthly payment = $179,571.54 / 1,004.515042 = $178.7644

4 0
3 years ago
​In a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at rand
mel-nik [20]

Answer:

Step-by-step explanation:

Given that in a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.

In 800 adults 199 are favourable and remaining 601 are against.

a) The probability that both adults think most celebrities are good role models is ________= Prob of selecting both from 199

= \frac{199C2}{800C2} \\=0.0616

=0.062

b) The probability that neither adult thinks most celebrities are good role models is _______=P(both selecting from 601)

=  \frac{601C2}{800C2} \\=0.5641

=0.564

c) The probability that at least one of the two adults thinks most celebrities are good role models ______

=1-Prob that neither thinks

= 1- 0.564

= 0.436

6 0
3 years ago
There is a triangle with a perimeter of 63 cm, one side of which is 21 cm. Also, one of the medians is perpendicular to one of t
NemiM [27]

Answer:

21cm; 28cm; 14cm

Step-by-step explanation:

There is no info in the problem/s  text which one of the triangle's  side is 21 cm. That is why we have to try all possible variants.

Let the triangle is ABC . Let the AK is the angle A bisector and BM is median.

Let O is AK and BM cross point.

Have a look to triangle ABM.  AO is the bisector and AOB=AOM=90 degrees (means that AO is as bisector as altitude)

=> triangle ABM is isosceles => AB=AM  (1)

1. Let AC=21   So AM=21/2=10.5 cm

So AB=10.5 cm as well.  So BC= P-AB-AC=63-21-10.5=31.5 cm

Such triangle doesn' t exist ( is impossible), because the triangle's inequality doesn't fulfill.  AB+AC>BC ( We have 21+10.5=31.5 => AB+AC=BC)

2. Let AB=21 So AM=21 and AC=42 .So  BC= P-AB-AC=63-21-42=0 cm- such triangle doesn't exist.

3. Finally let BC=21 cm. So AB+AC= 63-21=42 cm

We know (1) that AB=AM so AC=2*AB.  So AB+AC=AB+2*AB=3*AB

=>3*AB=42=> AB=14 cm => AC=2*14=28 cm.

Let check if this triangle exists ( if the triangle's inequality fulfills).

BC+AB>AC    21+14>28 - correct=> the triangle with the sides' length 21cm,14 cm, 28cm exists.

This variant is the only possible solution of the given problem.

6 0
3 years ago
Look at the graph of the linear function. On a coordinate plane, a line goes through 4 points. Point A is (negative 2, negative
vekshin1

Answer:

2

Step-by-step explanation:

Point c is at (1, 2)

point d is at (2, 4)

rate of change formula

(f(d) - f(c))/2 - 1

f(2) = 4

f(1) = 2

4-2/1 = 2

8 0
4 years ago
Read 2 more answers
Help please!<br> f(x) = x^2 – 10x + 24
Natali [406]

I assume you want it graphed, so I added a picture below.

6 0
3 years ago
Other questions:
  • For which of the following situations would the central limit theorem not imply that the sample distribution for x¯x¯ is approxi
    8·1 answer
  • Marcy owed her frien Ericka $25 dollars and owed her $15 dollars.
    6·1 answer
  • Find the domain of the function f(c) = -x^2 +8x +1 Use interval notation to express your answer. Preview
    6·1 answer
  • Match each description with the equation that will create that pit. The curved path is shifted left two units.
    12·1 answer
  • Can someone help me please
    9·1 answer
  • 1. How many fourteenths are in 5/14?
    10·1 answer
  • Function or not a function?
    10·2 answers
  • Please help it urgent!!!!
    8·1 answer
  • !!!Please help!!!
    10·1 answer
  • Which expression is a cube root of -1+ i sqrt 3? (multiple choice)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!