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Scorpion4ik [409]
3 years ago
15

What are the first three terms of a geometric sequence in which a5 = 25 and the common ratio is 5?

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:  First three terms are 1/25, 1/5, and 1 in that order.

===========================================================

Explanation:

The fifth term is 25, which makes the fourth term to be 25*(1/5) = 5. We multiply any term by the reciprocal of the common ratio to move back to the previous term.

The third term is 5*(1/5) = 1. The second term is 1*(1/5) = 1/5. The first term is (1/5)*(1/5) = 1/25

Therefore, the first five terms are:

1/25, 1/5, 1, 5, 25

As we move from left to right, we multiply each term by 5. Going in reverse, we multiply by 1/5.

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Kyle took out a seven-year loan of $8,000 loan from his bank. The bank charges an interest rate of 5 percent, compounded yearly.
Nookie1986 [14]

Assuming the loan is as described, seven-year loan, which means that Kyle does not repay a cent before seven years.

This is a compound interest problem where n=7 years, interest rate i=0.05, and present value P=8000.

At the end of seven years, Kyle will have to pay

Future value = F = P(1+i)^n = 8000(1.05)^7 = 11256.80 (to the nearest cent)

7 0
3 years ago
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Write an equation for a circle with<br> a center at (9 -2) and has a<br> radius of 7.
fenix001 [56]
The equation of a circle is given as:

(x-a)^2 + (y- b)^2 = r^2  where (a, b) is the center.

(x-9)^2  = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4      ------ (ii)
r^2 = 49                          ------ (iii)

Adding equation (i) and (iii) 
x^2 + y^2 - 18x + 4y + 85 -----(iv)

Equating equation (iv) and (iii)

 <span>x^2 + y^2 - 18x + 4y + 85 = 49

Arrange the equation:

</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
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I hope this helps

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8 0
3 years ago
What is the surface area of the prism in square feet?
frutty [35]

The surface area of the rectangular prism is 52 square feet (ft^{2}), if the height is 4 feet, width is 3 feet and depth is 2 feet.

Step-by-step explanation:

          The given is,

                    A rectangular prism of

                     Let, h - height of the rectangular prism

                            w - Width of the rectangular prism

                            d - Depth of the rectangular prism

Step:1

        From given,

                     h = 4 feet

                     w = 3 feet

                     d = 2 feet

Step:2

        Formula to calculate the surface area of the rectangular prism is,

                      A = 2 (wd+hd+hw)

       Substitute the values of w,d and h

                           = 2 [(3×2) + (4×2) + (4×3)]

                           = 2 (6+8+12)

                           = 2 × 26

                           = 52

                       A = 52 Square feet

Result:

        Thus the surface area of the rectangular prism is 52 square feet (ft^{2}), if the height is 4 feet, width is 3 feet and depth is 2 feet.

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Mademuasel [1]
C=s-1.59 that should be the answer see ya
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