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Vsevolod [243]
3 years ago
5

(b) A ball is dropped from a height 30m above the ground and rebounds to ¾ of previous height continuously until it stops. Find

the distance that the ball bounces when it hits the ground the 10 th time. ( Ans to 2 d.p).
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

2.253m

Step-by-step explanation:

I used geometric sequence to find it. 30(3/4)^9 is what I used. Double check by solving that on your own if the answer is important ;)

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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
Which of the following numbers is closer to the area of a circle with a radius of 2.1
Pachacha [2.7K]
B. 11.33 is closer to the area of a circle with a radius of 2.1
5 0
3 years ago
Read 2 more answers
I NEED HELP WITH THIS ASAP
grin007 [14]
hopefully someone helps u with this tho sorry
3 0
2 years ago
PLEASSSSSEEE HELPPP ME
Sonja [21]

I hope this helps you

3 0
2 years ago
An arts academy required there to be 4 teachers for every 64 students and 6 tutors for every 48 students.How many students does
irina [24]

Answer:

1. 16 teachers  2. 8 tutor  3. 6 teachers

Step-by-step explanation:

3 0
3 years ago
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