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
allsm [11]
3 years ago
5

What is the sum of all of the perfect squares between

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where n = number of terms

a = first term of the sequence

d = common difference

S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]

   = 4(34 + 7)

   = 164

Sum of 15 + S_{8} = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 41-179

= -138

Therefore, answer is (-138).

You might be interested in
Solve the system of equations using substitution. Show your work<br> y=2x + 3<br> y=3x + 1
FrozenT [24]

Answer:

x=2 and y=7

Step-by-step explanation:

Step: Solvey=2x+3for y:

y=2x+3

Step: Substitute2x+3foryiny=3x+1:

y=3x+1

2x+3=3x+1

2x+3+−3x=3x+1+−3x(Add -3x to both sides)

−x+3=1

−x+3+−3=1+−3(Add -3 to both sides)

−x=−2

−x

−1

=

−2

−1

(Divide both sides by -1)

x=2

Step: Substitute2forxiny=2x+3:

y=2x+3

y=(2)(2)+3

y=7(Simplify both sides of the equation)

3 0
3 years ago
Brenda took out a personal loan for $12,000 at an interest rate of 12% compounded monthly. She made arrangements to pay the loan
iragen [17]

Answer: her monthly payments would be $267

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $12000

r = 0.12/12 = 0.01

n = 12 × 5 = 60

Therefore,

P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]

12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]

P = 12000/{1.817 -1}/[0.01(1.817)]

P = 12000/(0.817/0.01817)

P = 12000/44.96

P = $267

7 0
3 years ago
Help please!<br> please make the answers original.
baherus [9]

Answer:

I will do it but what is the GCF of part B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Solve help help ASAP
marissa [1.9K]

Answer:

It's B, -11/12

Step-by-step explanation:

6 0
3 years ago
Oscar has received a $4,000 gift and is looking for a bank to start a savings account. Which option would be the best for him at
Brut [27]

Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

6 0
3 years ago
Other questions:
  • Brian has a bag that contains 14 red marbles and 12 yellow marbles. He selects a marble at random, and then, without replacing t
    11·1 answer
  • The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after
    6·1 answer
  • I need to find the value of x and y please help.
    8·1 answer
  • What is the y-value in the solution to the system of linear equations?
    7·1 answer
  • Can someone help me with this problem please :)
    15·1 answer
  • Please Help Me i will Give Brainliest
    7·2 answers
  • -0.8(q - 0.5)= - 2.6 what is a
    12·1 answer
  • Use the image below to answer the following question. What relationship do the
    15·1 answer
  • To stream Netflix without major interruptions, the desired internet speed should be 75 Mbps. However, network traffic can affect
    11·1 answer
  • What is the missing value in the table below?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!