If f(x) = -2x + 2, f(5) can be found by substituting in the value 5 for x in the equation:
f(5) = - 2(5) + 2
Our first step in simplifying this expression is to perform the multiplication as outlined by the order of operations (PEMDAS).
f(5) = -10 + 2
Finally, we must get our final answer by adding together the remaining terms.
f(5) = -8
Hope this helps!
Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
![z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%20%5C%5C%5Cmu%20%3D%20mean%2C%20%5Csigma%3Dstandard%5C%20deviation%2Cx%3Draw%5C%20score%5C%5C%5C%5CFor%5C%20a%5C%20sample%5C%20n%5C%5C%5C%5Cz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%20%7D%5C%5C%5C%5CFor%5C%20x%3C70.5%5C%20in%5C%5C%5C%5CGiven%20%5C%20that%5C%20n%3D100%2C%20%5Cmu%3D71%5C%20in%2C%20%5Csigma%3D2.5%5C%20in%5C%5C%5C%5Cz%3D%5Cfrac%7B70.5-71%7D%7B2.5%2F%5Csqrt%7B100%7D%20%7D%3D-2%5C%5C%5C%5CFrom%5C%20normal%5C%20distribution%5C%20table%2C%20P%28x%3C70.5%29%3DP%28z%3C-2%29%3D0.0228%3D2.28%5C%25)
Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
![y = (-\frac{1}{16})(x-20)^2 + 25](https://tex.z-dn.net/?f=y%20%3D%20%28-%5Cfrac%7B1%7D%7B16%7D%29%28x-20%29%5E2%20%2B%2025)
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.
Using the simple interest formula, the interest paid for the loan of $7890 at 11.5% for a term of 5 years will be:
S.I=(PRT)/100
S.I=(7890×11.5×5)/100
=$4536.75