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kaheart [24]
3 years ago
15

What is the answer for this? Please help

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

Answer:

A or D maybe

Step-by-step explanation:

I don't really know I'm confused myself

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The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
2 years ago
Help me please i’ll rate brainliest
Cloud [144]

Answer:

<em>- 1.568</em>  

Step-by-step explanation:

Let's assume that the base of the given logarithm is 10.

log m = 0.345 ⇒ 10^{0.345} = m

log n = 1.223 ⇒ 10^{1.223} = n

mn = 10^{0.345} × 10^{1.223} = 10^{1.568}

\frac{1}{mn} = 10^{-1.568}

log 10^{-1.568} = - 1.568 × log 10 = <em>- 1.568</em>

5 0
3 years ago
Marco is building a dog house. He pays $65 for a dog house kit and $12 for each can of paint, p, he uses to paint the dog house.
mars1129 [50]
I believe the correct answer from the choices listed above is the last option. The function that represents the total cost to build the dog house would be <span>c(p)=12p+65. Hope this answers the question. Have a nice day.</span>
6 0
3 years ago
Read 2 more answers
(-4y - 1) + (-9y -2)
Ber [7]

Answer:

-13y-3

Step-by-step explanation:

(-4y - 1) + (-9y -2)

remove parenthesis

-4y - 1 + -9y -2

combine like terms

-13y - 1 - 2

now we subtract -1 -2 = -3 so

-13y- 3

8 0
3 years ago
Read 2 more answers
Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?
klemol [59]

Answer:

21x/20 or can be written as  x + x/20 .

Step-by-step explanation:

The number is x

step 1

x is increased by 50%

value of 50% of x = 50/100 *x = x/2

New value after this change = x + 50% increase = x + x/2 = 3x/2

Step 2 The value obtained is decreased by 30%

value of 30% newly found number is = 30% of value found in step 1

value of 30% newly found number is = 30/100 * 3x/2 = 9x/20

This value (9x/2) is subtracted from value found in step 1(3x/2) as given that  value obtained is decreased by 30%

new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20

new value found after 30% decrease = (30x-9x)/20 = 21x/20

Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20

6 0
3 years ago
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