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Nikitich [7]
4 years ago
5

nanette installed a security system in her office for $150. the monthly monitoring fee is $30. so far, nanette has spent $420 fo

r her security system. for how many months has she had the service?
Mathematics
1 answer:
kirill [66]4 years ago
5 0

Answer:

9 months.

Step-by-step explanation:

Well we subtract the one time fee of $150 from $420

420-150=270

Now we need to divide $270 by $30, the price she pays every month.

270÷30=9

She has had the service for 9 months.

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For the straight line defined by the points (3,57) and (5,87), determine the slope ( m ) and y-intercept ( ???? ). Do not round
Sphinxa [80]

Answer: The slope of the line is 15 and y-intercept is 12.

Step-by-step explanation:  We are given to find the slope and y-intercept of the straight line defined by the points (3, 57) and (5, 87).

We know that

the slope of a line passing through the points (3, 57) and (5, 87) is given by

m=\dfrac{87-57}{5-3}=\dfrac{30}{2}=15.

Since the straight line passes through the point (3, 57), so its equation will be

y-57=m(x-3)\\\\\Rightarrow y-57=15(x-3)\\\\\Rightarrow y-57=15x-45\\\\\Rightarrow y=15x-45+57\\\\\Rightarrow y=15x+12.

So, the required equation of the straight line is y=15x+12.

Thus, the slope of the line is 15 and y-intercept is 12.

4 0
3 years ago
17. Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . . options: A) f(n) = 12 + 2(n − 1) B) f(n) =
tankabanditka [31]

Answer:

A) f(n) = 12 + 2(n-1)

Step-by-step explanation:

Arithmetic Sequence Formula:

a(n) = a(1) + (n-1)d

d = 2

a(1) = 12

a(n) = 12 + 2(n-1)

8 0
3 years ago
What is the solution of 3+ X-2/x-3 less than or equal to 4
Archy [21]

Answer:

Step-by-step explanation:

3+3+\frac{x-2}{x-3} \leq 4\\\\\frac{x-2}{x-3} \leq 4-3\\\frac{x-3+1}{x-3} \leq 1\\1+\frac{1}{x-3} \leq 1\\\frac{1}{x-3} \leq 0\\x-3 \leq 0\\x\leq 3

5 0
3 years ago
Nela is filling her circular backyard swimming pool. The radius of the pool is 5 feet and the height is 6 feet. Which shows the
blagie [28]

Answer:

V=\pi5^2*6

Step-by-step explanation:

If this makes it a little easier to read:

V = \pi * 5^2 * 6

This is the answer when you solve it btw:

471.24

Also, who buys a swimming pool in the shape of a cylinder?

6 0
4 years ago
How do you convert 15 feet to centimeters?
hram777 [196]
To convert 15 ft to centimeters you have to multiply 15 x 30.48, since 1 ft is 30.48 cms

So, if you want to calculate how many centimeters are 15 feet you can use this simple rule.

3 0
4 years ago
Read 2 more answers
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