Answer:
3%
Step-by-step explanation:
This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .97 which is less than 1, representing decay.
The formula for exponential decay is y=a(1-r)x.
r is the decay rate, expressed as a decimal.
In this case, r = .03 which represents 3%!
Answer:
use a ratio
Step-by-step explanation:
you work 10 hours and make $25. How much do you earn per hour? (this is your unit rate.)
<u>10 hours</u>
$25
divide and you get an answer of $2.50 per hour
to check your answer work the problem backwards, take $2.50 times 10 hours = $25
Answer:
75.5°
Step-by-step explanation:
Cos(A) = 2/8 = 0.25
A = 75.52248781
Answer:
\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx
Step-by-step explanation:
Arc length is calculated by dividing the arcs in to small segments ds
By pythagoren theorem
then integrate ds to get arc length.
We are given a function as
y = sin 2x in the interval [0, pi/2]
To find arc length in the interval
Arc length 
Hence arc length would be
B) 
Answer:
Step-by-step explanation:
Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.
Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example :
2x - y = 2
4x - 2y = 8
put both equations in slope intercept form
y = 2x - 2
y = 2x - 4
they both have the same slope of 2.....and the y intercepts are different....meaning they are parallel lines and have no solutions
