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Sergeeva-Olga [200]
3 years ago
10

Help guys, please I needed this answer!

Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

(-3, ∞)

Step-by-step explanation:

Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.

We can tell by the graph that the y value of the vertex is at -3, so that means the answer can't be the fourth one.

Therefore, the answer is (-3, ∞)

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The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti
DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

P(t)=10000(0.2)^t

1) P(0) is the population initially.

P(1) is the population after a year.

\frac{P(1)}{P(0)} represents the population increase factor.

So let's evaluate that fraction:

\frac{P(1)}{P(0)}

\frac{10000(0.2)^1}{10000(0.2)^0}

\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

P(t)=10000(0.2)^{t}

We want t to represent months.

A full year is 12 months, in a full year we have that P(1)=10000(0.2)^1=10000(0.2)=2000

So we want a new P such that P(12)=2000 since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) P(12)=10000(0.87449)^{12}=2000 \text{approximately}

b) P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}

c) P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}

d) P(12)=10000(0.87449)^{12+12}=400 \text{approximately}

So a is the function we want.

Also another way to look at this:

P(t)=10000(.2)^t where t is in years.

P(t)=10000(.2^\frac{1}{12})^t where t is in months.

And .2^\frac{1}{12}=0.874485 \text{approximately}

8 0
3 years ago
A fraction model is shown. Which equation correctly shows the fraction of the shaded parts?
Lostsunrise [7]

Answer:

I need more information to answer this.

3 0
2 years ago
What is the perimeter of the shape?
Serhud [2]

Answer:

20 cm

Step-by-step explanation:

Assuming that the side lengths you've written are the only side lengths of the shape, meaning it would be a trapezoid, all you do is add them up together.

3 + 5 + 5 + 7 = 20

3 0
2 years ago
Read 2 more answers
A packing box is a rectangular prism with volume 2 m3.
Firlakuza [10]

Answer:

The hight of the box is 1.2 m

Step-by-step explanation:

250cm= 2.5m

100cm= 1m

2.5x1=2.5

3/2.5=1.2

2.5 x 1 x 1.2=3m^{3}

6 0
2 years ago
M−2 over 4 =5 over 20
Ne4ueva [31]
m=3
Plug it in and it should work
3-2 =1 over 4 which is the same as 5 over 20 because both as a percentage equal 25% or 1/4 or 0.25 if you put it in a calculator as calculators provide decimal answers
5 0
2 years ago
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