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aleksklad [387]
3 years ago
10

The mayor of Brookmarsh is running a campaign to revitalize his city. Currently, the population of Brookmarsh is 10,000 and is i

ncreasing at a rate of 2% per year. The mayor predicts that the population will continue to grow in this manner, and that in "t" years, the population will be at least 15,000.
Write an inequality in terms of "t" that models the situation.
Mathematics
2 answers:
jek_recluse [69]3 years ago
7 0

Answer:

10000*(1.02)^t\geq15000.

Step-by-step explanation:

mrs_skeptik [129]3 years ago
5 0
10,000 + (0.02 * 10,000) t = 15,000
That's my equation.
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If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
3 years ago
There are 5 cats for every 4 dogs at the animal shelter. What is the ratio of dogs to cats?
grigory [225]

Answer:

4:5

Step-by-step explanation:

6 0
2 years ago
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Consider the sequence:<br> 1536,768, 384, 192,96, ---<br> Determine the 11th term of the sequence.
Naya [18.7K]

Answer:

1.5

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

768 ÷ 1536 = 0.5

384 ÷ 768 = 0.5

192 ÷ 384 = 0.5

96 ÷ 192 = 0.5

This indicates that the terms form a geometric sequence with

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 1536 and r = 0.5, thus

a_{11} = 1536 × (0.5)^{10} = 1.5

7 0
3 years ago
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Divide the sum of (-24),(-10) and (-40) by the product of (-5) and 3​
PilotLPTM [1.2K]

Answer:

4.93333...

Step-by-step explanation:

-24 + (-10) + (-40) = -74

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5 0
3 years ago
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Giving 30 points to whoever helps me.Fasttttt and no wrong answers.
Dahasolnce [82]
The answer is y = -3x + 10.
The rest is not linear since the rest is not in the form of y = mx +b (a type equation for a line).

Have an awesome day! :)
7 0
2 years ago
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