1488 labels divided by 16 labels equals 93. So the answer is D.
Answer:
The equation in slope-intercept form is y = 8x
The slope represents the unit cost
A party for 40 people would cost $320
Step-by-step explanation:
Answer:
the correct answer is 1/2.
How i came to this answer was adding all of the number of medals together for all of the years, coming up to a total of 22. When asking about probability of any given set or amount of things, you always take the selected values and take them out of the whole amount. Years 2009 and 2012 have a whole selected value of 11 (4+7). Therefore you're "taking" 11 from 22, coming up with the fraction 11/22 seeing as that is not a answer choice the next step is to simply the fraction to 1/2.
Answer:
8.85% per year
Step-by-step explanation:
To find the interest rate of a compounding interest, we use the formula:
![r=n[(\dfrac{A}{P})^{\dfrac{1}{nt}}-1]](https://tex.z-dn.net/?f=r%3Dn%5B%28%5Cdfrac%7BA%7D%7BP%7D%29%5E%7B%5Cdfrac%7B1%7D%7Bnt%7D%7D-1%5D)
Before we start solving, let's break down all the variables that we have.
A = 19,992.71
P = 10,000.00
n = 2
t = 8
r = ?
Now let's put the values into the formula.
![r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{2(8)}}-1]](https://tex.z-dn.net/?f=r%3D2%5B%28%5Cdfrac%7B19%2C992.71%7D%7B10%2C000.00%7D%29%5E%7B%5Cdfrac%7B1%7D%7B2%288%29%7D%7D-1%5D)
![r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{16}}-1]](https://tex.z-dn.net/?f=r%3D2%5B%28%5Cdfrac%7B19%2C992.71%7D%7B10%2C000.00%7D%29%5E%7B%5Cdfrac%7B1%7D%7B16%7D%7D-1%5D)
![r=2[(\dfrac{19,992.71}{10,000.00})^{0.0625}-1]](https://tex.z-dn.net/?f=r%3D2%5B%28%5Cdfrac%7B19%2C992.71%7D%7B10%2C000.00%7D%29%5E%7B0.0625%7D-1%5D)
![r=2[(1.9992.1)^{0.0625}-1]](https://tex.z-dn.net/?f=r%3D2%5B%281.9992.1%29%5E%7B0.0625%7D-1%5D)
![r=2[1.0442499885-1]](https://tex.z-dn.net/?f=r%3D2%5B1.0442499885-1%5D)
![r=2[0.0442499885]](https://tex.z-dn.net/?f=r%3D2%5B0.0442499885%5D)
or 
So the rate the Mrs. Emily Francis got from the bank was 8.85% per year.
9514 1404 393
Answer:
x ≈ {-2.80176, -0.339837}
Step-by-step explanation:
Write in terms of sine and cosine:
sec(x) -5tan(x) -3cos(x) = 0 . . . . . . given, subtract 3cos(x)
1/cos(x) -5sin(x)/cos(x) -3cos(x) = 0
Multiply by cos(x). (Note, cos(x) ≠ 0.)
1 -5sin(x) -3cos(x)² = 0
Use the trig identity to write in terms of sin(x).
1 -5sin(x) -3(1 -sin²(x)) = 0
3sin(x)² -5sin(x) -2 = 0 . . . . . . . . quadratic in sin(x)
(sin(x) -2)(3sin(x) +1) = 0 . . . . . . factor the quadratic
Values of sin(x) that make this true are ...
sin(x) = 2 . . . . . true only for complex values of x
sin(x) = -1/3
Then the possible values of x are ...
x = arcsin(-1/3), -π -arcsin(-1/3)
x ≈ {-2.80176, -0.339837} . . . . . rounded to 6 sf