Answer:
5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR
250*(1.0125)^20=$320.51 at the end of 5 years
Step-by-step explanation:
1. cot(x)sec⁴(x) = cot(x) + 2tan(x) + tan(3x)
cot(x)sec⁴(x) cot(x)sec⁴(x)
0 = cos⁴(x) + 2cos⁴(x)tan²(x) - cos⁴(x)tan⁴(x)
0 = cos⁴(x)[1] + cos⁴(x)[2tan²(x)] + cos⁴(x)[tan⁴(x)]
0 = cos⁴(x)[1 + 2tan²(x) + tan⁴(x)]
0 = cos⁴(x)[1 + tan²(x) + tan²(x) + tan⁴(4)]
0 = cos⁴(x)[1(1) + 1(tan²(x)) + tan²(x)(1) + tan²(x)(tan²(x)]
0 = cos⁴(x)[1(1 + tan²(x)) + tan²(x)(1 + tan²(x))]
0 = cos⁴(x)(1 + tan²(x))(1 + tan²(x))
0 = cos⁴(x)(1 + tan²(x))²
0 = cos⁴(x) or 0 = (1 + tan²(x))²
⁴√0 = ⁴√cos⁴(x) or √0 = (√1 + tan²(x))²
0 = cos(x) or 0 = 1 + tan²(x)
cos⁻¹(0) = cos⁻¹(cos(x)) or -1 = tan²(x)
90 = x or √-1 = √tan²(x)
i = tan(x)
(No Solution)
2. sin(x)[tan(x)cos(x) - cot(x)cos(x)] = 1 - 2cos²(x)
sin(x)[sin(x) - cos(x)cot(x)] = 1 - cos²(x) - cos²(x)
sin(x)[sin(x)] - sin(x)[cos(x)cot(x)] = sin²(x) - cos²(x)
sin²(x) - cos²(x) = sin²(x) - cos²(x)
+ cos²(x) + cos²(x)
sin²(x) = sin²(x)
- sin²(x) - sin²(x)
0 = 0
3. 1 + sec²(x)sin²(x) = sec²(x)
sec²(x) sec²(x)
cos²(x) + sin²(x) = 1
cos²(x) = 1 - sin²(x)
√cos²(x) = √(1 - sin²(x))
cos(x) = √(1 - sin²(x))
cos⁻¹(cos(x)) = cos⁻¹(√1 - sin²(x))
x = 0
4. -tan²(x) + sec²(x) = 1
-1 -1
tan²(x) - sec²(x) = -1
tan²(x) = -1 + sec²
√tan²(x) = √(-1 + sec²(x))
tan(x) = √(-1 + sec²(x))
tan⁻¹(tan(x)) = tan⁻¹(√(-1 + sec²(x))
x = 0
Answer:
Step-by-step explanation:
Given that a consumer magazine article titled "How Safe Is the Air in Airplanes" reports that the air quality, as quantified by the degree of staleness, was measured on 175 domestic flights.
The purpose was to study about the safety of all flights as a whole.
Since all flights cannot be measured within a reasonable time, a sample of 175 domestic flights were taken.
a) The population of interest here would be the measure of safety of all the airplanes.
b) Sample is the 175 domestic flights selected
c) Characteristics of interest is the safety in travelling by air in Airplanes due to air quality.
Answer:
<h3>B. 4 × 8.5 = 34</h3>
Step-by-step explanation:
The formula for calculating the perimeter of the square patio is expressed as;
P = 4L
L is the length of each side of the square patio
Given
L = 8.5 feet
Required
Perimeter in feet of Rocio's patio
Substitute the given parameter into the formula;
Perimeter = 4 * 8.5
Perimeter = 34ft²
Option B is correct.
Answer:
1584 square kilometers.
Step-by-step explanation:
Here's the function I use.
a= starting amount
r= rate
t= years
First step: 
Second step: 
Third step: =1583.72164269
Fourth step: Round to the nearest square kilometer. Since 1583.7 is closer to 1584, you must round up.
Fifth step: The final answer is 
Hope this helps and stay during these crucial times. We'll get through this!
