Answer:
5n = 44
Step-by-step explanation:
I'm sorry if this is the wrong answer. :(
Future value 1000 a year from now. We are expected to pay about 6% less today to get the future value.
So the answer should be around $940, which makes an easy choice.
However, to make sure, we use the compound interest formula:
F=P(1+i)^n
where i=6%/12=0.005 [monthly interest]
n=1year * 12 months / year = 12 months
1000=P(1.005)^12
=>
P=1000/1.005^12=$941.91 is what needs to be deposited today.
Answer:
x^2-5x+10
Step-by-step explanation:
As they are two zeros and the standard equation is
x^2+(alpha+beta)x+alpha*beta
Answer:
The angle of elevation is about 27°
Step-by-step explanation:
Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.
Let x represent the original height
2x is the length of shadow
And θ the angle of elevation
Applying trigonometry;
Tan θ = opposite/adjacent = original height/shadow length
Substituting the values;
Tan θ = x/2x
Tan θ = 1/2
θ = taninverse(1/2)
θ = 26.56505117707
θ ≈ 27°
Elevation angle is approximately 27°