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rosijanka [135]
4 years ago
14

Find the 55th term in the following arithmetic sequence -102, -98, -94, -90

Mathematics
1 answer:
ololo11 [35]4 years ago
6 0

Answer:

114

Step-by-step explanation:

-102,-98,-94,-90.......

lets give the numbers a name : T ,

and the number order is 1, 2, 3, 4,5....n

we can see :

Tn=T(n-1)+4;

Tn=T(1)+(n-1)4,T1= -102

now n=55

T(55)= -102+(55-1).4=114

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Your service contract for washer repair maintenance is offered at $48 per year. If a customer wants to pay it off in equal month
Anna35 [415]

Answer:

$4.72 per month

Step-by-step explanation:

The true interest rate is how much more he has to give with interest.

Let's find the interest on $48 first.

Let's convert 18% to decimal, that is:

18/100 = 0.18

Now, to find 18% of $48, we multiply, so,

Interest = $48 * 0.18 = $8.64

In total, he has to pay:

48 + 8.64 = $56.64

This is spread over 12 months (since he has to pay in 1 year), so each month payment would be:

56.64/12 = $4.72 per month

7 0
3 years ago
Which of the following equations is direct variation? Y=2x,y=x+2,y=2,y=-2x-1
Andrew [12]

Answer:

y=2x

Step-by-step explanation:

Direct variation is such that y=kx where k is the rate of change.  In direct variation the graph must cross the origin (0,0) meaning that the y-intercept is zero.  The only equation that satisfies the definition of direct variation is y=2x.

3 0
3 years ago
C added to 45 as a algebraic expression
shepuryov [24]
45 + C
This is simple, don't over think these problems <3

8 0
3 years ago
Read 2 more answers
PLEASE HELP 25 POINTS!!!
miss Akunina [59]

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

\sf S \infty  \ =a_1  \ x \ \dfrac{1}{1-r}

Identify following

  • a1 = 2
  • r = 1/2

Solve:

\rightarrow \sf S \infty  \ =2  \ x \ \dfrac{1}{1-\frac{1}{2} }

\rightarrow \sf S \infty  \ =4

The sum of this infinity series is 4

5 0
2 years ago
A bag of m&amp;m's has 4 red, 7 green, 8 blue, and 6 yellow m&amp;m's. what is the probability of randomly pickinga blue or gree
bogdanovich [222]

Step-by-step explanation:

a probability is always desired cases over total possible cases.

the bag has 4 + 7 + 8 + 6 = 25.

so, when we pick a random M&M we have total 25 possible outcomes.

the desired cases are to pick a green or a blue M&M.

that means these are 7+8 = 15 cases.

the probability to pick one or of the desired cases is

15/25 = 3/5 = 0.6

3 0
2 years ago
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