The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%
b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%
The results of the composite functions are:
<h3>What are composite functions?</h3>
Composite functions are functions that are obtained by combining two or more functions together
Assume that:
Then the computation of the composite functions are as follows:
<h3>Function (f * g)(x)</h3>
<h3>Function f(g(x))</h3>
We have: 
This gives
So, we have:
<h3>Function g(f(x))</h3>
We have: 
This gives
So, we have:
Read more about composite functions at:
brainly.com/question/10687170
So, we know that it takes Sam 1 mph up and 9 mph down and it takes Liam both 2 mph down and up the hill. So if we divide the 2 mph for Liam by 2 miles (the whole length of the hill) we will get 1 or 1 hour. Then we do 1/1 (i don't know how to explain this part of why we do that, sorry) and than we do 1 / 9 and we get 1/9 so we add them and get 1 1/9 so that's Sam's time.
So, Liam took one hour and Sam took 1 and 1/9 hours, in conclusion liam was faster
<h2> (I'm really sorry for my bad explaining, i tried my best)</h2>
Answer:
I think the part he has correct is when they are equal because they intersect at a coordinate, but, he is incorrect because the teacher's expression could be different
Step-by-step explanation:
Answer:$6/Yard
Step-by-step explanation:
You make it into an algebraic expression, 2.5x=15.
Then, you divide both sides by 2.5
2.5x=15, 2.5x/2.5 =x, 15/2.5=6.
x=6.
x represents the amount of dollars per yard.
