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3 years ago

With a rectangle length of 309 cm.and width of 249cmdoes it have the perimeter of 1500 cm?

1 answer:

7 0

1116 is the perimeter it has. The formula for perimeter is 2l+2w=p
so when you plug the numbers in you get 2(309)+2(249)=1116. So it does not have a perimeter of 1500 cm.

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Find the doubling time of an investment earning 7% interest if interest is compounded continuously

Alex

Answer:

The doubling time of this investment would be 9.9 years.

Step-by-step explanation:

The appropriate equation for this compound interest is

A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.

If P doubles, then A = 2P

Thus, 2P = Pe^(0.07t)

Dividing both sides by P results in 2 = e^(0.07t)

Take the natural log of both sides: ln 2 = 0.07t.

Then t = elapsed time = ln 2

--------- = 0.69315/0.07 = 9.9

0.07

The doubling time of this investment would be 9.9 years.

5 0

3 years ago

Write the standard form of the equation of the circle that passes through the point

AnnZ [28]

Answer:

The standard form of the equation of the circle is $x^2+y^2=1$ .

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

$(x-h)^2+(y-k)^2=r^2$

where r is the radius of the circle, and h, k are the coordinates of its center.

When the center of the circle coincides with the origin $h=k=0$ , so

$(x-0)^2+(y-0)^2=r^2\\x^2+y^2=r^2$

We are also told that the circle contains the point (0, 1), so we will use that information to find the radius r.

$0^2+1^2=r^2\\r^2=0^2+1^2\\r^2=1\\r=\sqrt{1}$

Therefore, the standard form of the equation of the circle is $x^2+y^2=1$ .

5 0

3 years ago

3+(-7) solve for x help meee

garik1379 [7]

Answer:

3 + ( -7 )

7 - 3

= 4 is the answer

6 0

3 years ago

Devin is on his school's swim team. During his 2-week winter break, he swims 30 laps each week to stay in shape. If each lap is

tamaranim1 [39]

I think... 1500

Step-by-step explanation:

multiply 30 and 25 then times 750 as your answer by 2 to get 1500

7 0

3 years ago

A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x

balandron [24]

9514 1404 393

Answer:

x = 5.4

Step-by-step explanation:

The segment sum theorem tells you ...

AB +BC = AC

36 +(5x -9) = 54

5x = 27 . . . . . . . . . . . subtract 27 from both sides

x = 5.4 . . . . . . . . . . divide by 5

4 0

3 years ago