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fomenos
3 years ago
11

When renting a limo for prom, the number of people varies inversely with the cost per person. Originally

Mathematics
1 answer:
pentagon [3]3 years ago
5 0
It would be $68 per person.
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Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank
pav-90 [236]

Answer:

g(n) = 10 * 3^{n}

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

d = g(n) - g(n-1)

Take n as 1

d = g(1) - g(1-1)

d = g(1) - g(0)

From the table:

g(1) = 30\ \&\ g(0) = 10

d = 30 - 10

d = 20

Take n as 2

d = g(2) - g(1)

From the table:

g(1) = 30\ \&\ g(2) = 90

d = 90 - 30

d = 60

The two differences are not equal. So, this

For geometry progression:

We calculate the common ratio (r)

r = \frac{g(n)}{g(n-1)}

Take n as 1

r = \frac{g(1)}{g(1-1)}

r = \frac{g(1)}{g(0)}

From the table:

g(1) = 30\ \&\ g(0) = 10

r = \frac{30}{10}

r = 3

Take n as 2

r = \frac{g(2)}{g(1)}

From the table:

g(1) = 30\ \&\ g(2) = 90

r = \frac{90}{30}

r = 3

The two ratios are equal.

So, the next step is to calculate the explicit formula using n term of a geometric progression.

Because the progression starts from 0, we make use of the following formula

g(n) = g(0) * r^{n}

Substitute values for g(0) and r

g(n) = 10 * 3^{n}

Hence:

The explicit formula is: g(n) = 10 * 3^{n}

7 0
2 years ago
PLEASE HELP WITH THIS AND PLEASE SHOW WORK! ALSO PLEASE ACTUALLY GIVE ANSWER 35 POINTS AND BRAINLIEST!!
Arlecino [84]

Answer:

60

Step-by-step explanation:

Use proportions like shown. 4/6 is 1.5 and if you multiply 40 by 1.5 it equals 60.

3 0
2 years ago
A preimage is the the original figure in a transformation.<br> A) True B) False
Kitty [74]
<span>Your answer is True! :) Reason: preimage is the original figure in transformation and </span><span>preimage is the original figure in transformation.</span>
7 0
3 years ago
Read 2 more answers
I will mark u brainliest please help
musickatia [10]

Answer:

30+(2x+7)+63=180(sum of angles of triangle )

30+2x+7+63=180

2x+100=180

2x=180-100

x=80/2

x=40

6 0
2 years ago
Read 2 more answers
Choose the correct description of the graph of the compound inequality shown below;
baherus [9]

Answer: C Hope it's helpful

3 0
2 years ago
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