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anastassius [24]
3 years ago
14

Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

Step-by-step explanationjiuijkk8

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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
3 years ago
(<br> x<br> −<br> 3<br> )<br> (<br> x<br> −<br> 1<br> )<br> (x−3)(x−1)
galina1969 [7]

Answer:

x² - 4x + 3

Step-by-step explanation:

When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.

(x−3)(x−1)           Expand with FOIL

= x² - x - 3x + 3      Collect like terms

= x² - 4x + 3

7 0
3 years ago
What is the value of s?<br> units<br> 0<br> 5<br> В<br> 8<br> 15<br> S<br> D
Diano4ka-milaya [45]

Answer:

13

Step-by-step explanation:

7 0
3 years ago
Evaluate 9.5s +8.7t when s= 3 and t = 4
Arturiano [62]
The answer is 63.3

9.5 * 3 + 8.7 * 4 = 63.3
3 0
3 years ago
3/4-2/4 I need help with this I don’t know what the answer is
sertanlavr [38]

Answer:

1/4 or decimal : 0.25.

Step-by-step explanation:

I'm pretty sure this is right

7 0
3 years ago
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