It is important to understand the meaning of orthocenter in respect to a triangle first. Ii is actually the intersection of all the altitudes within a triangle. The altitudes can be drawn from an angle to the opposite side but the line should create a right angle with the side of the triangle. In case of obtuse triangle, the three lines would meet outside the triangle. I hope the answer helps.
Answer:
where is the figure and the picture?
D and H are corresponding
G and C are corresponding
E and A are corresponding
B and F are corresponding
Answer:
amount is 1000 ×
$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Step-by-step explanation:
principal = $1000
rate = 8 % = 0.08
to find out
the future value, S(t)
principal when Donna's account will be 1 million dollars when she retires in 40 year
at what rate Donna's account will have a balance of 1 million dollars in 40 years
solution
we know compounded continuously formula i.e.
amount = principal ×
..................1
put the value principal and rate in equation 1 to find amount any time
amount = principal ×
amount = 1000 ×
in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal
rt = 0.08 × 40 = 3.2
amount = principal × 
1000000 = principal × 
principal = 1000000 / 
principal = 1000000 / 24.5325302
principal = 40762.20397
so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate
amount = principal × 
1000000 = 2500 × 
take ln both side
ln
= ln (1000000 / 2500 )
40 r = ln 400
r = ln (400) / 40
r = 0.149787
so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
The absolute expression |x - y| is rewritten in the form of without using absolute value notation will be x - y.
<h3>What is an absolute function?</h3>
The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
If the value inside the mode operator is greater than zero, then simply the mode operator is eliminated.
The notation of the absolute function is given below.
|x - y| If x>y
Then the absolute function is given as,
|x - y| = x - y
The absolute expression |x - y| is rewritten in the form of without using absolute value notation will be x - y.
More about the absolute function link is given below.
brainly.com/question/10664936
#SPJ1