Answer:
Step-by-step explanation:
<u>Compound Interest</u>
This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.
The present value PV or the principal can be calculated with
Solving for R
Where Fa is computed by
We'll use the provided values but we need to convert them first to monthly payments
Thus, each payment is
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
The mean would be 5
Reason for this is that the mean is when all data is summed up then divided by how many data points there are
So 4+4+7=15
Then divide by 3 would equal 5
I hope this helps!
combine your like terms and get x by its self
1,000,000
If the number is 5-9 (in this case, the one in the hundred-thousands place), you round up. If lower, then round down
