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Lynna [10]
3 years ago
7

17. The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a

table of the input output pairs to show the cost of the phone and phone plan after 2. 12. and 24 months.​
Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

To compute a value for the table put the given "input" into the formula and do the arithmetic. Repetitive arithmetic is often easily handled by a graphing calculator or spreadsheet.

<u>Example</u>:

  for n=2, C = 40·2 +210 = 80 +210 = 290

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Write the explicit formula for the geometric sequence.<br><br> 64, 32, 16, 8, ...
Setler [38]

Answer:

aₙ = 1/2 x aₙ₋₁     n≥2

Step-by-step explanation:

aₙ = 1/2 x aₙ₋₁     n≥2  

a₁ = 64

a₂ = 1/2 x 64 = 32

a₃ = 1/2 x 32 = 16

7 0
3 years ago
The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m
larisa86 [58]

Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

2L , 2M, 2E , 2R , 3A , F and I

no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words=\frac{13!}{4\times 2!\times 3!}=64,864,800

When M's are together . considering 2 M's as one

therefore there are \frac{12!}{3\times 2!\times 3!}=9,979,200

No of ways=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600

(b)No of ways such that M's are separated by at least 2 letters

at least  2 letter means 2 letter, 3 letter ......11 letters

So we have to subtract no of ways where there are 1 letter in between M's from total no of ways where 2 M's are not next to each other

No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

=45738000

7 0
3 years ago
Grayson's cell phone plan charges a flat fee of $40 for data and calls and an additional $0.10 per text message sent or received
ANTONII [103]

Answer:

0.67  cents

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Max Steel drives his 1969 Mustang 15 miles per hour. If there are 5280 feet in one mile and 60 seconds in one minute, how many f
shutvik [7]

Answer:

22 feet per second

Step-by-step explanation

15x5280=79,200

79,200/60=1320 feet per minute since 60 minutes per hour

1320/60=22 feet per second since 60 seconds per minute

8 0
3 years ago
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest
allsm [11]

9514 1404 393

Answer:

  smaller triangle area = 73 1/3 ft^2

Step-by-step explanation:

The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...

  (165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2

3 0
2 years ago
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