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valentinak56 [21]
3 years ago
12

A cab company charges $4 per cab ride, plus an additional $2 per mile driven. Write an equation that shows the relationship betw

een the distance x and the cost y. Write your answer as an equation with y first, followed by an equals sign.
Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

y = 2x + 4

Step-by-step explanation:

So, the cab company charges a flat fee of $4 per cab ride, meaning 4 has no variables in the equation. Now, x is the distance, and the cab company charges $2 per mile driven. Per mile driven is a distance unit, so the x goes with the 2. From that, you can get that the cost is equal to 4 dollars plus 2x (2 times the distance in miles). This is y = 2x+4.

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What is the expanded form is 5.2684
jek_recluse [69]
The answer is 5+0.2+0.06+0.008+0.0004
4 0
3 years ago
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
what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.​
raketka [301]

Answer:

Step-by-step explanation:

Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.

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3 years ago
The following selected transactions were completed during August of the current year:
gizmo_the_mogwai [7]

Answer:

The journal entries as well as the T-accounts for August transactions are found in the attached spreadsheet.

Step-by-step explanation:

Initially, the transactions were posted individually in the journal and ultimately the related ones were combined together in the T-accounts.

For instance, cash related transactions are posted in the cash T-account to ascertain the true cash position as at the end of the quarter.

Download xlsx
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It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download
netineya [11]

Answer:

49

Step-by-step explanation:

35/5=7

7x7=49 seconds

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