The annual return percentages will be evaluated using the formula:
A=P(1+r/100)^n
where:
A=amount
P=principle
r=rate
n=time
a] A=$500, P=$400, n=1 years
500=400(1+r)^1
solving for r we shall obtain:
1.25=1+r
hence
r=1.25-1
r==0.25
annual rate of investment is 25%
b] A=2500+100=$2600, P=$ 2000, n=1 year
hence
2600=2000(1+r)^1
2600/2000=1+r
1.3=1+r
r=1.3-1
r=0.3
annual rate of investment is 30%
Applying multiplication of functions, the total number of seats in the auditorium is given by:
h(x) = 80x² + 560x.
<h3>How polynomial functions are multiplied?</h3>
They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.
In this problem, the functions are given as follows:
Then the multiplication is:
h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.
More can be learned about multiplication of functions at brainly.com/question/13136492
#SPJ1

- The answer is <u>0</u><u>.</u>
- LHS = RHS, hence verified.
<u>Value of x (substitute 0 in the place of x).</u>

- So, value of x is <u>0</u><u>.</u>
If you divide 8 by 4, it comes to 2
If you divide 12 by 2, it comes to 3
That fraction is 2/3
The Fraction 10/15 is equal to 2/3 because...
If you divide 10 by 5, it comes to 2
If you divide 15 by 5, it comes to 3