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Arturiano [62]
3 years ago
12

Help me please thank you

Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer: The car's maximum speed


have a nice day!!


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Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

3 0
2 years ago
What is -3/4 – (-1/2)?<br> A. -5/4<br> B. -1/4<br> C. 1/4<br> D. 1/2
Delicious77 [7]

Answer:

B. -1/4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3. Find the balance of a savings account at the end of 15 years if the interest
mr Goodwill [35]

Answer:

The balance of the savings account in 15 years will be $1,750.24.

8 0
3 years ago
Lance earned $27 for mowing 3 lawns. What is the rate earned per lawn mowed?
Sliva [168]

Answer: $9 dollars

Step-by-step explanation:

27 divided by 3 = 9

*** If you found my answer helpful please give me the brainliest :) ***

4 0
3 years ago
Read 2 more answers
draw a rectangle give the length and the width to show that it has an area of 12cm make sure one side is longer than the other t
Elden [556K]
To find area, you multiply length * width. There are 4 sides on a number, so we need to have a equation like this. x * x * y * y = 12cm. If we do 4 * 4, we get 8. We could also use 2 * 2 = 4. 8 + 4 = 12. So, width = 8, and length = 4.

Hope this helps! ☺♥
3 0
3 years ago
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