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diamong [38]
2 years ago
11

PLEASE ANSWER QUICKLYY IK ITS TEDIOUS CUZ THERES A LOT BUT MATH EXPERTS, HELP

Mathematics
1 answer:
AlexFokin [52]2 years ago
5 0

Step-by-step explanation:

i answered these 3 already.

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in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
Solve the problem.
zmey [24]

Answer:

the percent of increase is 24%

Step-by-step explanation:

The percent of increase in general could be calculate as:

\frac{Vf - Vi}{Vi} *100

where Vf is final value and Vi is initial value.

From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:

\frac{31-25}{25} *100=24%

That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.

6 0
3 years ago
Triangle A'B'C' is a dilation of AABC. What is AB?
Pavlova-9 [17]

Answer:

C. 9

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

8 0
3 years ago
What is the quotient (3x3 − x2 − x − 1) ÷ (x − 1)?
Nuetrik [128]

Answer: x=2

Step-by-step explanation:

did the math

7 0
2 years ago
1. Find the distance between each pair of points. Round your answer to
zlopas [31]

Step-by-step explanation:

\sqrt{(3 - ( - 4))^{2}  + ( - 7 - 6)^{2} }  \\  =  \sqrt{(3 + 4)^{2}  +  {( - 13)}^{2} }  \\  =   \sqrt{ 49 + 169}  \\   = \sqrt{218} \\  = 14.7648

7 0
3 years ago
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