30% of number A means
similarly, 40% of number B means
These must be equal, so we have
Multiply both sides by 10 to get
So, you can choose any number for A, and then you multiply it by 4/3 to get B. There are infinitely many solutions to this equation.
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Answer:
B
Step-by-step explanation:
Let the base of the triangle be <em>b</em> and the height be <em>h</em>.
The sum of the base and height is 14. Thus:
Recall that the area of a triangle is given by:
From the first equation, solve for either variable:
Substitute:
Distribute:
Distribute:
Let <em>b</em> = <em>x</em>. Hence:
Therefore, our answer is B.
I believe I'm not sure on this but it may lead you to the correct answer. Length x Width x height. Or l x w x h = v
