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Oksanka [162]
3 years ago
13

what is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equalto 17?​

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer: The 18th term is 295.

Step-by-step explanation: By using the arithmetic sequence formula:

a(n): nth term

a(1): first term

n: term position

d: common/constant difference

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

You should get an equation of a(n) = 6+(18 - 1)17. By following the order of operations, you should receive an 18th term of 295.

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David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and
hoa [83]

Answer:

4x^2+10x-2=0

Step-by-step explanation:

So the total area of mirror: 2*3 = 6 ft sq

8-6 = 2 ft sq is the area of the frame

x is the thickness of the frame

so we have (2*x)*2+(3*x)*2+x*x*4= 2

4x+6x+4x^2=2

-> 4x^2+10x-2=0

8 0
3 years ago
Im just writing stuff because questions have to be atleast 20 characters long so I'm just trying to fill up some space.
DIA [1.3K]
A = 21/2 i will write something too just to fill up the space
3 0
4 years ago
Misha deposited $3,725 into a savings account 22 years ago. The account has an interest rate of 2.2% and the balance is currentl
Annette [7]
The compounding equation is A=P(1+ \frac{r}{n}) ^{nt}. So
 
6012.37 = 3725(1+ \frac{0.022}{n}) ^{22n}    Divide by 3725

1.6141= (1+ \frac{0.022}{n}) ^{22n}

Daily      = (1+ \frac{0.022}{365}) ^{22*365}
              = (1.000060274) ^{8030}
              = 1.6225
Monthly  = (1+ \frac{0.022}{12}) ^{22*12}
              = (1.0018333) ^{264}
              = 1.6218
Quarter  = (1+ \frac{0.022}{4}) ^{22*4}
              = (1.0055) ^{88}
              = 1.6204
Yearly  = (1+ \frac{0.022}{1}) ^{22*1}
              = (1.022) ^{22}
              = 1.6141

The answer is yearly.





5 0
3 years ago
In the past month, Kaitlin rented 1 video game and 4 DVDs. The rental price for the video game was $2.40 The rental price for ea
vichka [17]

Answer:

$2.40 for the video game and $14.8 for the DVDs

Step-by-step explanation:

1 video game = $2.40

4 DVDs = $14.8

$3.70 x 4 = $14.8

6 0
3 years ago
The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?
77julia77 [94]

A scalene triangle is a triangle that has 3 sides that are all different lengths.

Let these letters represent the problem:

a = 8.7

b = side 2

c = side 3

P = 54.6

To find the perimeter, we just need to add all the sides [ P = a + b + c ]

So, put what we have in the formula above.

54.6 = 8.7 + b + c

Best of Luck!

7 0
3 years ago
Read 2 more answers
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