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3 years ago

Find the difference between the sum of all even numbers and the sum of all odd numbers from 0 through 1000

Mathematics

1 answer:

Anna007 [38]3 years ago

3 0

The sum is 500 because 1000 split betwwen even and odds are even making 500

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a person invest $1,700 in an account that earns 3.97% annual interest. find when the value of the investment reaches $3,200

olga_2 [115]

Answer:

16 1/4 years

Step-by-step explanation:

Assuming interest is compounded annually, the account balance (A) after t years will be ...

A = P(1 +r)^t

3200 = 1700·1.0397^t

log(3200) = log(1700) +t·log(1.0397)

t = (log(3200) -log(1700))/log(1.0397) ≈ 16.247

The account will reach a balance of $3200 after about 16 1/4 years.

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You may be asked to round your answer to the nearest integer or tenth. We leave that exercise to the student.

5 0

3 years ago

3x+2(x-5)=25 show your work

Zanzabum

Answer:

x = 7

Step-by-step explanation:

Expand 3x+2(x-5)=25 which looks like

3x+2x-10=25

Add similar elements: ( 3x+2x = 5x)

5x-10=25

Add 10 to both sides

5x-10+10 = 25 + 10

Simplfy

5x = 35

Divide both sides by 5

5x ÷ 5 = 35 ÷ 5

Simplfy:

x = 7

have a wonderful day

8 0

3 years ago

(4x3 + 3x2 - 30x - 10) ÷ (x -3)

pogonyaev

(12x+6x-30x-10)/(x-3)=
=(-12x-10)/(x-3)
=-12x*+36- 10x+30=
=-22x+56

5 0

2 years ago

Quadrilateral STWR is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.

AlladinOne [14]

Observe the given figure.

Here, angle T and R are the inscribed angles.

And sum of inscribed angles is half of measure of intercepted arcs.

Since, the measure of intercepted arcs is 360 degrees.

Therefore, $\angle T + \angle R = \frac{1}{2} \times 360 ^{\circ}$

$\angle T + \angle R = 180 ^{\circ}$

Hence, the sum of the two angles is 180 degrees.

Therefore, these are the supplementary angles.

Therefore, angle T and angle R are supplementary angles.

Hence, proved.

8 0

3 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (

Yuri [45]

So the distance between subway stop and house is 19 units

Step-by-step explanation:

The distance formula will be used to calculate the distance between home and subway.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here (x1,y1) are the coordinates of first point

and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (7, -6)

(x2,y2) = (-9,5)

Putting the values in the formula

$d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units$

Rounding off to nearest unit gives us 19.

So the distance between subway stop and house is 19 units

Keywords: Distance, distance formula

Learn more about distance at:

#LearnwithBrainly

6 0

3 years ago