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3 years ago

Find the population of beetles a week later by first finding 6% of 350 and adding it to the original population

Mathematics

1 answer:

Delvig [45]3 years ago

6 0

Step-by-step explanation:

6 percent of 350 is 21. 21 plus 350 is 371, therefore the answer is 371.

Brainliest? :)

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Find the area of the circle with the given radius or diameter. Use = 3.14. r = 2 A =? 6.28 sq. units

Marizza181 [45]

I believe it is 12.56 sq. Units

7 0

3 years ago

Read 2 more answers

A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago

Find the area of the figure.EXPlAIN THE STEPS!!!!

hichkok12 [17]

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

Divide the shape into two smaller "known" shapes (Refer to image).
Determine the area of those "known" shapes.
Add the area of the known shapes to obtain the area of the figure.

Determining the area of shape 1 (Rectangle 1):

⇒ Area of rectangle = Lenght × Breadth

⇒ = 2.1 × 4.8

⇒ = 10.08 yd²

Determining the area of shape 2 (Rectangle 2):

⇒ Area of rectangle = Lenght × Breadth

⇒ = 6.4 × 3.2

⇒ = 20.48 yd²

Determining the area of the figure:

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒ = 10.08 + 20.48

⇒ = 30.56 yd²

6 0

2 years ago

A catalog has a scale drawing of a floating dock. The dock is a regular octagon attached to a rectangular walkway. The scale dra

gtnhenbr [62]

Answer: 5 feet.

Step-by-step explanation:

Remember that the lenghts of the sides of a regular octagon are equal.

You can observe in the figure that the lenght of a side of the regular octagon is 1.25 inches.

Let be "s" the actual length of a side of the regular octagon.

Knowing that the scale drawing has a scale of 1 inch 4 feet, you can find the actual lenght of a side of this regular octagon with:

$s=\frac{(1.25in)(4ft)}{(1in)}\\\\s=5ft$

Therefore, the actual length of a side of the octagon is 5 feet.

6 0

3 years ago

The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.

mars1129 [50]

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

Perimeter = 30 cm

Length = x cm

Using the perimeter formula to find the width w.

$P=2(l+w)$

$P = 2l + 2w$

$2w = P-2l$

Dividing both sides by 2

$w\:=\:\frac{P}{2}-2$

as P = 30 cm

$w\:=\:\frac{30}{2}-2$

$w\:=\:15-2$

$w = 13$ cm

Using the formula of the rectangle area

$A = wl$

substitute w = 13 and l = x in the formula

$A=13\times \:x$

$A = 13x$

Therefore, the area of the rectangle in terms of 'x' = 13x

7 0

2 years ago