All categories

3 years ago

Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

He swam 300 meters away from his starting point

You might be interested in

Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye

svetlana [45]

Answer:

The required recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

$Year \: 1 = 500$

Each year thereafter the number of leaves was 40% more than the year before so that means

$Year \: 2 = 500(1+0.40) = 500\times 1.4\\$

For the third year the number of leaves increase 40% than the year before so that means

$Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\$

Similarly for fourth year,

$Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\$

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

$f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330$

So there will be 10330 leaves in the 10th year.

3 0

3 years ago

Read 2 more answers

write a story problem that can be solved by finding the sum of 506,211 and 424,809. then solve the problem

Amiraneli [1.4K]

<u>Story Problem</u>

Mr. Bill Gates bought a house in Italy for $\$506,211$ and a house in Canada for $\$424,809$ . What is the total cost of the two houses?

we know that

The total cost is the sum of the cost each house

$\$506,211+\$424,809=\$931,020$

therefore

the answer is

The total cost is $\$931,020$

7 0

3 years ago

Read 2 more answers

A and b are positive integers and a–b = 3. Evaluate the following:

yulyashka [42]

1/27

125

Step-by-step explanation:

Given that,

a - b = 3

9^(1/2b) /3^a = 3^(2/2b) /3^a

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)

= 5^a/5^b

= 5^(a- b)

= 5^3

= 125

6 0

3 years ago

A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labele

kondaur [170]

Answer:

24:27

Step-by-step explanation:

i got it right on my unit test :)

3 0

3 years ago

Can someone help me please

ki77a [65]

<span>x = -2.375 Hopefully that helps :)</span>

8 0

3 years ago