Answer:
=
(3n + 7)
Step-by-step explanation:
We require to find the first term a₁ and the common difference d
The n th term is given by 3n + 2, thus
a₁ = 3(1) + 2 = 3 + 2 = 5
a₂ = 3(2) + 2 = 6 + 2 = 8
d = 8 - 5 = 3
=
[ 2a₁ + (n - 1)d ], substitute values
=
[ (2 × 5) + 3(n - 1) ] =
(10 + 3n - 3) =
(3n + 7)
Answer:
FICA tax should his employer withhold be $24.92 .
Option (D) is correct .
Step-by-step explanation:
As given
Bill’s FICA tax is 7.65% of his earnings of 325.78 per week.
7.65 % is written in the decimal form.

= 0.0765
FICA tax price = 0.0765 × Earning of a week
Putting values in the above
FICA tax price = 0.0765 × 325.78
= $ 24.92 (Approx)
Therefore the FICA tax should his employer withhold be $24.92 .
Option (D) is correct .
Answer:
(x, y) = (3, 26)
Step-by-step explanation:
I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.
(x, y) = (3, 26)
__
As an alternative, here, the equations can be subtracted.
y = f(x)
y = g(x)
0 = f(x) - g(x) . . . . subtract the second equation from the first
0 = 11x -7 -(3x +17)
0 = 8x -24 . . . . simplify
0 = x -3 . . . . . . .divide by 8
3 = x
Now, we can substitute into either equation:
y = g(x) = 3(3) +17 = 26
The solution is (x, y) = (3, 26).
We need to use that first sentence to get the length in terms of the width because you can't have more than 1 unknown in a single equation without running into impossible problems. Putting those words into a usable, viable equation, gives us L = 2w - 1. That's the length that is 1 less than twice the width. The width is just w. Area then requires that we multiply the length and the width together. We have an area of 28, so here's what that looks like:

. Distribute the right side to get

. Now, set the equation equal to 0 and bring the 28 over to the other side by subtraction so we can factor the polynomial.

. Factor that best by putting those values into the quadratic formula to get that w = 4 and w = -3.5. We know, however, that the 2 things in math that will never EVER be negative are time and distance/length, so -3.5 is out. That means that the width is 4. The length equation, remember, is L = 2w-1, so L=2(4)-1 which is 8-1 = 7. The width is 4 and the length is 7.
I would look for the first prime larger (or smaller) than √n.