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Stolb23 [73]
3 years ago
8

Geometry. Answer the question in the photo.

Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Answer:

5

Step-by-step explanation:

Since, A, B, C, D are collinear.

\implies A - B - C - D \\  \therefore \: AD = (AB + BC) + CD \\  \therefore \: 18 = AC + CD..  (\because AB + BC =AC) \\  \therefore \: 18 = 8 + CD \\  \therefore \: 18  - 8 = CD \\ \therefore \: 10 = CD \\  \\  \because \: BC + CD = BD \\ BC  = BD - CD \\  BC  = 15 - 10 \\ BC  = 5 \\

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The answer is F(x) = 900x + 600

Let x stands for the number of months

The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)

A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600. 

These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for  apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
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4 times the sum of 14 and 26
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Goshia [24]

Answer:

1) 36

b) 5

c) 3.0

Step-by-step explanation:

1) The recursive formula that defines the given sequence is

a_1=12 \\  a_n=a_{n-1}+4.

That means we keep adding 4 to the subsequent terms:

The sequence will be:

12,16,20,24,28,32,36,...

Therefore the seventh term is 36.

2) The sequence is recursively defined by;

a_1=20\\  a_n=a_{n-1} - 5

This means, we have to keep subtracting 5 from the subsequent terms.

The sequence will be;

20,15,10,5,...

Therefore the fourth term is 5

3) The sequence is recursively defined by:

f(n+1)=f(n)+0.5

where f(1)=-1.5

This means that, the subsequent terms can be found by adding 0.5 to the previous terms.

The sequence will be:

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Therefore f(10)=3.0

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4 years ago
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