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3 years ago

WILL GIVE BRAINLIEST IF CORRECT!!! Pic included

Mathematics

1 answer:

melisa1 [442]3 years ago

6 0

Answer:

D. both functions are increasing but g increases at a faster rate

Step-by-step explanation:

if you compare points of f(x) and g(x)

g(x) is:

(-1,-52)

( 0, -16)

(1, -4)

(2,0)

If you plot the points f(x) is above then equal and then below g(x)

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A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago

How to do this?

Mandarinka [93]

This equation uses two properties of logarithms:

$\ln(g^x) = x \ln(g)$

$\ln(a) + \ln(b) = \ln(ab)$

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15

7 0

3 years ago

Help!!

NikAS [45]

Answer:

A. 67.8%

Step-by-step explanation:

the total number of occurences are 202

Now the total number of occurencess for 4 and below are 137

So Heres the quickest way to do it: Divide 137 by 202 then multiply it by 100 being 100%

Then you would get 67.8, then well put the percent sign behind it.

8 0

3 years ago

Which phrase represents' the sum of 11 and a number

denis23 [38]

Answer:

11 + n

Step-by-step explanation:

sum means addition, so u need a + sign

n is usually the variable used for 'a number'

so 11 and (+) a number (n) = 11+ n

hope this helps!

5 0

3 years ago

The product of 21 and sum of -10

Aliun [14]

Answer:

Step-by-step explanation:

product 21 is 21

21+(-10)=11.

am i right

https://telefoonreparatie.nl/telefoon-reparatie-waalwijk/

5 0

3 years ago

Read 2 more answers