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TEA [102]
2 years ago
15

Imagine a population of birds with an initial size of 100, a per-capita birth rate of 2, and a per-capita death rate of 1 per ye

ar. Use the discrete time form of the exponential growth equation to predict the number of individuals in this population after 5 years of growth.
Mathematics
1 answer:
Soloha48 [4]2 years ago
8 0

Answer:

3200

Step-by-step explanation:

Given that:

The initial population of birds N_0 = 100

The time duration t = 5 years

Growth rate (r) = (Birth - Death) rate

= 2 - 1

= 1 / year

∴

using the discrete-time form:

N_t = N_o (1 + r )^t

N_t = 100 (1 + 1 )^5

N_t = 100 (2 )^5

N_t = 100 \times 32

N_t = 3200

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The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.

<h3>How to calculate the radius?</h3>

From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.

Let A = area of the triangle

Let S = semi perimeter of the triangle.

The radius will be: = A/S

where,

S = \dfrac{(a + b + c)}{2} = \dfrac{(13 + 13 + 10)}{2} = 18

The radius will be:

 =\dfrac{(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{10})} { 18}

= 3.33cm

In conclusion, the radius is 3.33cm.

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2 years ago
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31. There are C(5, 2) = 10 ways to choose 2 colors from a group of 10 colors if you don't care about the order. (Here, we treat blue background with violet letters as being indistinguishable from violet background with blue letters.)

Only one of those 10 pairs is "B and V", so the probability is 1/10.
   a) P(B and V) = 10%


32. The 12 inch dimension on the figure is 0 inches for the cross section. The remaining dimensions of the cross section are 
   c) 5 in. × 4 in.


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C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5!/(2!·3!) = 5·4/(2·1) = 10
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3 years ago
Every 3 days Marco fills up his car with gas. Every 8 days he washes his car. On what day will Marco fill his car with gas and w
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3 years ago
The definition of a circle uses the undefined term _______.
Alecsey [184]

Answer:

C. Plane  

Step-by-step explanation:

One definition of a circle is: "It is the set of all points in a plane that are at a given distance from a fixed point."

The undefined term is the word "plane."

You could define a plane as a flat surface with zero thickness and extends infinitely in all directions, but it isn't in the definition of a circle.

Euclid defined a plane as "a surface that lies evenly with the lines on it" before he defined a circle, so the meaning was understood.

A, B, and D are wrong. They aren't mentioned in the definition.

6 0
3 years ago
A pair of shoes cost $22.99 to make, the local store sells them for $36.99. What is the percent markup? (Round to the nearest hu
ASHA 777 [7]

C: 60.9% is the right answer

Step-by-step explanation:

The markup is calculated by using the formula

Mark\ up=Selling\ price-make\ price

Given

Make Price = $22.99

Selling Price = $36.99

So the mark up will be:

Mark\ up=36.99-22.99\\=\$14

Percent mark up will be:

Mark\ up=\frac{Mark\ up}{Make\ price}*100\\=\frac{14}{22.99}*100\\=0.6089*100\\=60.89\%

Rounding off to the nearest hundredth percent

60.9%

Hence,

C: 60.9% is the right answer

Keywords: Markup, Percentage

Learn more about percentage at:

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#LearnwithBrainly

5 0
3 years ago
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