Answer:
120 degrees and 330 degrees
Step-by-step explanation:
Solve each equation for 0 degrees < x < 360 degrees.
Sqrt 2 cos x + 1 = 0
A.45,315
B.115,245
C.135,225
D.46, 314
Please Help ASAP!
Given the expression √(2cosx+1) = 0
Square both sides of the equation;
√(2cosx+1) = 0
2cosx + 1 = 0
2cosx = -1
cos x = -1/2
x = cos^-1(-1/2)
x = -60 degrees
Since cos is negative in the 2nd and 3rd quadrant then;
x = 180-60 = 120 degrees (2nd quadrant)
x = 270+60 = 330 degrees (3rd quadrant)
Answer:
a) Amount saved if the interest is compounded annually is $5832
b) Amount saved if the interest is compounded semi-annually is $5849.5
Step-by-step explanation:
Principal Amount P = 5000
Time t = 10 years
Annual interest i = 8% = 0.08
We need to find amount saved if interest is compounded a) annually b) semi-annually
a) Amount saved if the interest is compounded annually
If interest compounded annually, n= 1
Using Formula: ![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Putting values:
![A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%20%5C%5CA%3D5000%281%2B%5Cfrac%7B0.08%7D%7B1%7D%29%5E%7B1%2A2%7D%5C%5CA%3D5000%281%2B0.08%29%5E2%5C%5CA%3D5000%281.08%29%5E2%5C%5CA%3D5000%281.1664%29%5C%5CA%3D5832)
So, Amount saved if the interest is compounded annually is $5832
b) Amount saved if the interest is compounded semi-annually
If interest compounded semi-annually, n= 2
Using Formula: ![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Putting values:
![A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%20%5C%5CA%3D5000%281%2B%5Cfrac%7B0.08%7D%7B2%7D%29%5E%7B2%2A2%7D%5C%5CA%3D5000%281%2B0.04%29%5E4%5C%5CA%3D5000%281.04%29%5E4%5C%5CA%3D5000%281.1699%29%5C%5CA%3D5849.5)
So, Amount saved if the interest is compounded semi-annually is $5849.5
Answer:
soupp B
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced.
Answer:
If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.