If I was born in 1996 in 2017 i am 21 years old.
From year 1996 to year 2006 there are 10 years.
From year 2006 to year 2016 there are 10 years.
-> From year 1996 to year 2016 there are 10 + 10= 20 years.
And from year 2016 to year 2017 there is 1 year.
So, 10+10+1=21 years will pass from 1996 till 2017.
S(t) = sin(πt/6) + cos(πt/6)
Velocity = s'(t) = π/6 (cos(πt/6) - sin(πt/6))
When velocity = 0
cos(πt/6) - sin(πt/6) = 0
cos^2(πt/6) -2cos(πt/6) sin(πt/6) + sin^2(πt/6) = 0
1 - 2cos(πt/6) sin(πt/6) = 0
1 - sin(πt/3) = 0
sin(πt/3) = 1
πt/3 = arcsin(1) = π/2
t = 1.5
acceleration = s''(t) = -(π/6)^2 (cos(πt/6) + sin(πt/6))
s''(1.5) = -(π/6)^2 (cos(π/4) + sin(π/4)) = -(π/6)^2 (2/√2) = -0.3877
accerelation = -0.3877 meter/s^2
The growth factor that could be used to model the population will be 1.04. Then the correct option is D.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The population is increasing by 4% per year.
Then the growth factor that could be used to model the population will be
Growth factor = (1 + 4%)
Growth factor = (1 + 0.04)
Growth factor = 1.04
The growth factor that could be used to model the population will be 1.04.
Then the correct option is D.
More about the exponent link is given below.
brainly.com/question/5497425
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I think it’s 8 but plz double check
Answer: it will take 2 months.
Step-by-step explanation:
Let x represent the number of months it will take for the total cost for both companies to be equal.
Company A: $80 for a new phone and the monthly fee of $45 a month. This means that the total amount that Company A charges for x months would be
80 + 45x
Company B: she can keep her all sound and pay $85 a month. This means that the total amount that Company B charges for x months would be
85x
For the total cost for both companies to be equal, the number of months would be
80 + 45x = 85x
85x - 45x = 80
40x = 80
x = 80/40 = 2