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Nata [24]
3 years ago
9

For a given arithmetic sequence, the first term, 47, is equal to 26, and the 37 th term, a37, is equal to 278. th Find the value

of the 4th term, a4.​
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

9514 1404 393

Answer:

  47

Step-by-step explanation:

<u>Given</u>:

  a1 = 26, a37 = 278

<u>Find</u>:

  a4

<u>Solution</u>:

Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...

  an = a1 +d(n -1)

  a37 = 26 +d(37 -1) = 278

  d = (278 -26)/36 = 7 . . . . . . solve for d

Then the 4th term is ...

  a4 = 26 +7(4 -1)

  a4 = 47

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4.
Anna71 [15]

Answer:

  $12600

Step-by-step explanation:

If x represents the total investment, then the total interest is ...

  (x/3)(0.02) +(x/3)(0.07) +(x/3)(0.08) = 714

  x(.17) = 2142 . . . . multiply by 3; collect terms

  x = 2142/0.17 = 12600

The total investment was $12,600.

6 0
4 years ago
Solve for all values of q that satisfy the equation <br> √(3q+7) = q+3
Salsk061 [2.6K]
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5 0
3 years ago
A curve has equation y=2/x square root what is dy/dx
Dafna11 [192]

Answer:

dee y by dee x

Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐

8 0
3 years ago
Read 2 more answers
The cylindrical block has a height of 4 inches and a radius of 2 inches find the total surface area of the block
Rasek [7]

Answer:

75.4 square inches

Step-by-step explanation:

The cylindrical block has a height of 4 inches and a radius of 2 inches find the total surface area of the block

The formula for the Total surface area of a cylinder

= 2πr (r + h)

= 2 × π × 2( 2 + 4)

= 75.398223686 square inches

= 75.4 square inches

The total surface area of the cylindrical block is 75.4 square inches.

3 0
3 years ago
A wire that is 48 centimeters long is shown below.
torisob [31]

Answer:

The sides of the square measure 6 cm

Step-by-step explanation:

If we cut the wire in half, we have to:

48/2 = 24

We would have two 24 cm wires

With each wire a square will be formed, therefore the question I suppose must be how much each side of the square measures.

We know that the square has 4 equal sides, therefore:

4/24 = 6

The sides of the square measure 6 cm

5 0
4 years ago
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