Step-by-step explanation:
You use the I = PRN formula
P = 11 500
R = 7.25% but you have to 7.25 divide by 100 so it becomes a decimal so it should be 0.0725
N = 2 years and 6 months. This can be 2.5 years because half of 12 is 6
the solution is 11 500 × 0.0725 × 2.5 = 2084.38
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.
Therefore, the Nth term is 17 + 7N.
For example, the first term is 17 + 7*1 = 17 + 7 = 24.
The second term is 17 + 7*2 = 17 + 14 = 31
etc...
And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
Answer is C.
For every option, sub in the value and find the answer that matches the equation!
Example for option A, F(x) = x + 4 and G(x) = x²
G(F(x)) = G(x + 4) ーー> sub in the value of F(x)
Let's take the subbed in value, (x + 4) as x, and this x will be the x for G(x).
∴ Since G(x) is x²
G(x + 4) = (x + 4)² ーー> remember (x + 4) is represented as x.
= x² + 16
∴ You know that the answer is not A, do this for all options and you'll find the answer, C!
Step-by-step explanation:
4x³ + 19x² + 29x + 14
= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)
= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).
= (x² + 3x + 2)(4x + 7).
Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).
Because it says "not black" we would do white marbles
There are 15 white marbles and a total of 20
So the fraction of white marbles to total would be 15/20
Because the answer is wanted as a decimal divide 15 by 20
15/20=.75
There is a .75 chance that she will not draw a black marble
