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2 years ago

What is the maximum area of a rectangle with a perimeter of 60 km?

1 answer:

5 0

The maximum area for a rectangle will always be when it is in the shape of a square, meaning all sides are the same length. That being said, if the perimeter is 60, we know that the side of the square is 15km. So now we can square the side to get the area so 15km*15km = 225km^2

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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

Ribbon sells for $3.75 per yard. Find the cost, in dollars, for 48 inches of ribbon.

Leto [7]

Answer:

4.9875

if rounding then 5 dollars

Step-by-step explanation:

7 0

3 years ago

esse deposits $428 into his new checking account. During the month, he deposits $40 and withdraws $25, $283, and $119. What is t

tatyana61 [14]

A $1 is all he has left.

7 0

3 years ago

Read 2 more answers

Linda, Tony, and deon have a total of $99 in their wallets. Tony's has 4 times what deon has. Linda has $9 more than Deon. How m

Westkost [7]

Answer:its 9 just ook the tsest

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The cost of a school banquet is 75$ plus 15$ per person.

ivann1987 [24]

Answer:

The cost of a school banquet is $75+30n, where n is the number of people attending.

If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.

At n=53, the value is $(75+30·53)=$1,665.

Step-by-step explanation:

4 0

2 years ago