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Thepotemich [5.8K]
3 years ago
10

Is the following function proportional or non-proportional?

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

Thats the equation

Step-by-step explanation:

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Write the correct answer on each blank.
Dahasolnce [82]

Answer:

Step-by-step explanation:

alphabet to represent numbers.

4 0
3 years ago
In​ 2012, the population of a city was 6.57 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential g
icang [17]

Answer:

a) P(t) = 6.57e ^{0.0287t}

b) P(6) = 7,805\ million

c) t = 14.64\ years

d) t = 24.15\ years

Step-by-step explanation:

a) The function of exponential growth for a population has the following formula:

P(t) = p_0e ^{rt}

In this equation:

p_0 is the initial population

r is the growth rate

t is the time in years

In this problem we know that

r = 2.87\% = 0.0287

p_0= 6.57 million in the year 2012.

So the equation is:

P(t) = 6.57e ^{0.0287t}

Where t = 0 represents the year 2012

b) If t = 0 in 2012, then in 2018 t = 6

The population in 2018 is:

P(t = 6) = 6.57e ^{0.0287(6)}\\\\P(6) = 7,805\ million

c) To know when the population is equal to 10 million we must equal P(t) to 10 and solve for t.

P(t) = 10 = 6.57e ^{0.0287t}\\\\\frac{10}{6.57} = e ^{0.0287t}\\\\ln(\frac{10}{6.57}) = 0.0287t\\\\t = \frac{ln(\frac{10}{6.57})}{0.0287}

t = 14.64\ years

d) The function is doubled when P(t) = 2p_0

P(t) = 2(6.57) = 13.14 = 6.57e ^{0.0287t}

We solve for t.

\frac{13.14}{6.57} = e ^{0.0287t}\\\\ln(\frac{13.14}{6.57}) = 0.0287t\\\\t = \frac{ln(\frac{13.14}{6.57})}{0.0287})

t = 24.15\ years

5 0
3 years ago
If one postage stamp costs $0.85, how<br> much does a book of 25 stamps cost?
aniked [119]

Answer: $21.25

Step-by-step explanation:

0.85 x 25

5 0
4 years ago
Read 2 more answers
R = 7 answer as decimal
maw [93]

Answer:

7.000

r = 7 answer as decimal

3 0
4 years ago
Is the number 1.0303 a rational number, whole number, or integer?
Ray Of Light [21]
IT is an rational number because a whole number is a number with no decimal part, an integer is a natural number with no decimal part that could be either negative or positive. Since the number does not have a decimal part, it is rational.
6 0
3 years ago
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