Answer:
a) f(x) = 3sin(2x - π/2) + 1
b) f(x) = 2sin(2x + π) + 2
Step-by-step explanation:
∵ f(x) = Asin(Bx - C) + D
Where ΙAΙ is the the amplitude , 2π/ΙBΙ is the period , -C/B is the horizontal shift and D is the vertical shift
a) The amplitude is 3
The period is π
Shift phase: horizontally π/4 to the right , vertically 1 unit up
b) The amplitude is 2
The period is π
Shift phase: horizontally π/2 to the left , vertically 2 unit up
Answer:
The monthly growth rate is 3.5%.
Step-by-step explanation:
The exponential growth function is given as follows:

Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>x</em> = time taken
The provided expression for the monthly growth of membership in the new drama club at a school is:

Comparing this function with the exponential growth function:

Then value of <em>r</em> is 0.035 or 3.5%.
Thus, the monthly growth rate is 3.5%.
×by 2 then find 10%and then times the 10% by 2 then add it on
I’d say the second one, the fourth one and the fifth one.
Hope it works :)
A = P + SI
A-P = SI
5425-5000 = 425
THEREFORE THE SIMPLE INTRESTE IS $425
SI = PTR/100
425 = 5000×1×R/100
425×100/5000×1=R
425×100÷5,000×1 = 8.5%
THEREFORE THE RATE IS 8.5%