Take a look at the attachment to see the solution.
A = future value
P = principal (P = 12,000)
r = interest rate (r=6)
n = time periods (n=12)
7x-5=5x+23
7x-5x=23+5
2x=28
x=28/2
x=14
Answer:
b)The standard normal distribution has a mean of 0 and a standard deviation of 1, while a nonstandard normal distribution has a different value for one or both of those parameters.
Step-by-step explanation:
The standard normal distribution, ( and associated tables ) N (0,1) where 0 is the mean and 1 the standard deviation, is a model representative of all other nonstandard normal distribution. Therefore we apply such concepts and tebles in the solution of problems concerning normal distribution
Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
Answer:
Step-by-step explanation:
This is a Pythagorean Theorem Question
c^2 = a^2 + b^2
c= sqrt(5)
a = x
b = x This is an isosceles right triangle. The vertical side and the horizontal side are equal.
x^2 + x^2 = sqrt(5)^2
2x^2 = 5 Divide both sides by 2
x^2 = 5/2 Take the sqrt of both sides.
√x^2 = √5 / √2 Multiply right side by √2 on both top and bottom
x = √5*√2 / √2*√2
x = √10 /2
