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GREYUIT [131]
2 years ago
13

Factor the given expression completely: 147c² + 48

Mathematics
1 answer:
lyudmila [28]2 years ago
5 0

Answer:

= 3(49c^2+16)

Step-by-step explanation:

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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
use the distributive property to remove parentheses. Simplify your answer as much as possible. 1/2(4y+7)
Anna007 [38]
1/2(4y+7)

Use the distributive property. a(b+c)= ab+ac 

1/2*4y= 2y

1/2*7= 3.5

2y+3.5 <---- simplified expression

I hope this helps!
~kaikers


7 0
3 years ago
Read 2 more answers
You have 10 marbles in a bag: 3 blue, 2 green, 4 yellow, and 1 purple. If you close your eyes and choose a marble at random, wha
Naily [24]

Answer:

3/10

Step-by-step explanation:there are 10 marbles all together three blue ones

4 0
2 years ago
Read 2 more answers
What is 760 hundreds
astraxan [27]
76,000.                     760x100=76,000
3 0
2 years ago
How to get to the answer
Ilia_Sergeevich [38]

Answer:

\large\boxed{C)\ F(x)=2^x+1}

Step-by-step explanation:

C)\ F(x)=2^x+1\\\\\text{Put the values of x from the table to the equation of a function:}\\\\F(3)=2^3+1=8+1=9\qquad\ CORREC\\F(4)=2^4+1=16+1=17\qquad CORRECT\\F(6)=2^6+1=64+1=65\qquad CORRECT\\F(7)=2^7+1=128+1=129\qquad CORRECT\\F(8)=2^8+1=256+1=257\qquad CORRECT

7 0
2 years ago
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