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
jeyben [28]
3 years ago
8

How many multiples of 4 are there in {n; 37< n <1001}?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0
Let's begin by listing the first few multiples of 4:  4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44.  So, between 1 and 37 there are 9 such multiples:  {4, 8, 12, 16, 20, 24, 28, 32, 36}.  Note that 4 divided into 36 is 9.

Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:

<span>How many multiples of 4 are there in {n; 37< n <101}?  We could list and then count them:  {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval.  Try subtracting 40 from 100; we get 60.  Dividing 60 by 4, we get 15, which is 1 less than 16.  So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:

1000
   -40
-------
 960

Dividing this by 4, we get 240.  Adding 1, we get 241.

Finally, subtract 9 from 241:  We get 232.

There are 232 multiples of 4 between 37 and 1001.

Can you think of a more straightforward method of determining this number? </span>

You might be interested in
He formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved fo
Anni [7]
I think the answer is r=8..
hope this helps!:)
6 0
3 years ago
Read 2 more answers
Answer Please???? Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cake
Natali [406]

Answer:

Hello there!

The answer to your question is :

<em>C: Finn needs 6 cups of sugar for 4 cakes.</em>

<em>D: Finn needs 1 1/2 cups of sugar for 1 cak</em>e.

Step-by-step explanation:

The graph clearly shows ( sides cups of sugar) (bottom number of cakes)

For sugar you need 6 cups to make 4 cakes

For sugar on the second question you need 1 1/2 cups of sugar to make 1 cake

Multiply 1 1/2 times 6 then divide and your answer is 4. That's 4 cakes out of 6 cups of sugar out of the original cups of sugar ( 1 1/2)


This is the confirmed answer I took the quiz and got 100%

Hopes this helps you!

~Darlington



5 0
3 years ago
I need help and please show me work?!
jek_recluse [69]

Answer:

44,51

Step-by-step explanation:

It is cut off, but according to the Order of Operations [GEMS(A)\BOMDAS\PEMDAS etc.], parentheses are dealt with first:

(13,1 × 3) + 5,21 = 44,51

39,3

Just like whole numbers, you multiply the exact same way.

I am joyous to assist you anytime.

3 0
3 years ago
Given: SV || TU and SVX = UTX
Vladimir [108]

Answer: 2 is a given which is (SV | | TU)

I need help with the others.

Step-by-step explanation:

7 0
3 years ago
Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h
Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}

P is the loan amount.

Where interest rate r is given by

r = \frac{APR}{12}

Total number of payments n are given by

n = 30\times12 = 360

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%

and the corresponding interest rate r is

r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458

Finally, the monthly payment is

MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361

Monthly payment without points:

Interest rate r is,

r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667

Monthly payment is,

MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0
3 years ago
Other questions:
  • Multiple of pi plis xxx
    5·1 answer
  • Jenny's handspan is 16 cm.
    5·1 answer
  • Help me ASAP
    10·2 answers
  • Help me...............
    12·1 answer
  • What is the completely factored for of x^2-16xy+64y^2
    15·2 answers
  • A pole that is 2.8 m tall casts a shadow that is 1 m long. At the same time, a nearby building casts a shadow that is 39.5 m lon
    12·1 answer
  • I need a tape diagram that goes with Sadie is saving all her money to buy a horse which will cost her $600. She has already save
    12·1 answer
  • Plzz help!!!!!!!<br>I 'll give brain liest​
    5·1 answer
  • Please help me!! I don't understand<br> No linksssss
    12·1 answer
  • Please help with questions<br> 1d) and 1e)<br><br> Any help is much appreciated thanks
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!