Answer:
I think that the answer is C. 9^24
Answer:
8%
Step-by-step explanation:
APR means annual percentage rate.
To convert the daily rate to an APR, multiply the daily rate by the number of days in a year
365 days = 1 year
0.02192% x 365 = 8.0008%
To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is 0, so the number would be rounded off to 8%
Answer:
x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
Step-by-step explanation:
Solve for x:
x^4 + 8 x^3 + 7 x^2 - 40 x - 60 = 0
The left hand side factors into a product with three terms:
(x + 2) (x + 6) (x^2 - 5) = 0
Split into three equations:
x + 2 = 0 or x + 6 = 0 or x^2 - 5 = 0
Subtract 2 from both sides:
x = -2 or x + 6 = 0 or x^2 - 5 = 0
Subtract 6 from both sides:
x = -2 or x = -6 or x^2 - 5 = 0
Add 5 to both sides:
x = -2 or x = -6 or x^2 = 5
Take the square root of both sides:
Answer: x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
![\bf \cfrac{1}{1-sin(x)}+\cfrac{1}{1+sin(x)}=\cfrac{2}{cos^2(x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the LCD of [1-sin(x)][1+sin(x)]}}{\cfrac{[1+sin(x)]1~~+~~[1-sin(x)]1}{\underset{\textit{difference of squares}}{[1-sin(x)][1+sin(x)]}}} \\\\\\ \cfrac{1+sin(x)+1-sin(x)}{1^2-sin^2(x)}\implies \cfrac{1+sin(x)+1-sin(x)}{1-sin^2(x)}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B1%7D%7B1-sin%28x%29%7D%2B%5Ccfrac%7B1%7D%7B1%2Bsin%28x%29%7D%3D%5Ccfrac%7B2%7D%7Bcos%5E2%28x%29%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%20%5B1-sin%28x%29%5D%5B1%2Bsin%28x%29%5D%7D%7D%7B%5Ccfrac%7B%5B1%2Bsin%28x%29%5D1~~%2B~~%5B1-sin%28x%29%5D1%7D%7B%5Cunderset%7B%5Ctextit%7Bdifference%20of%20squares%7D%7D%7B%5B1-sin%28x%29%5D%5B1%2Bsin%28x%29%5D%7D%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B1%2Bsin%28x%29%2B1-sin%28x%29%7D%7B1%5E2-sin%5E2%28x%29%7D%5Cimplies%20%5Ccfrac%7B1%2Bsin%28x%29%2B1-sin%28x%29%7D%7B1-sin%5E2%28x%29%7D)
recall that 1 - sin²(θ) = cos²(θ).
