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2 years ago

Geometry help please

Mathematics

1 answer:

erastovalidia [21]2 years ago

3 0

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

gladu [14]

Answer:

Part 1) Australia $19,751,012\ people$

Part 2) China $1,319,645,764\ people$

Part 3) Mexico $109,712,539\ people$

Part 4) Zaire $60,534,681\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

$a=19,169,000\\r=0.6\%=0.6\100=0.006$

substitute

$P(t)=19,169,000(1+0.006)^t$

$P(t)=19,169,000(1.006)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=19,169,000(1.006)^5=19,751,012\ people$

Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

Part 4) Zaire

we have

$a=51,965,000\\r=3.1\%=3.1\100=0.031$

substitute

$P(t)=51,965,000(1+0.031)^t$

$P(t)=51,965,000(1.031)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=51,965,000(1.031)^5=60,534,681\ people$

8 0

3 years ago

For every batch of cookies Carla's made , her brother ate 2 cookies. If Carla's brother ate a total of 6 cookies, how many batch

spayn [35]

Step-by-step explanation:

number of the total cookies ÷ the nber her brother ate

6÷2=3

3 0

2 years ago

HELP ME ASAP!!!!!!!!!!

gtnhenbr [62]

Answer:

Step-by-step explanation:

Part A: 15

Part B: $125

7 0

2 years ago

If 200g of fat is used for 8 cakes, how much is used for 3 cakes?

Mrrafil [7]

200 divided by 8=25
25 x 3 <span>=75g</span>

3 0

3 years ago

Read 2 more answers

7) A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more tha

jeyben [28]

Since the photo booth charges a $500 fee for two hours at the party and an additional 50 dollars per hour, we have:

50x+500=C

Where x is the hours stayed and C is the total cost. Since Cindy doesn't want to spend more than 700 dollars, we have:

$50x+500=700 \implies\\ 50x=200\implies\\ x=4$

So she spent an additional 4 hours on the rental.

3 0

3 years ago

Read 2 more answers