Answer: Period = 13.15 s
Solution:
The period of a pendulum is the time of pendulum takes to swing back and forth.
Function
Where,
L is length of pendulum in feet
T is time of pendulum in seconds
We have to calculate the time of pendulum whose length is 140 feet.
So, we substitute L=140 into formula
and to solve for t
We get t,
s
Period = 13.15 s
-2r+3≥19
-2r≥16
r≤-8
second one
The answer to the question
Answer:
A₁ = $150.
Step-by-step explanation:
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.