Answer:
The answer is below
Step-by-step explanation:
Given the function as:
f(x)=5sin(πx / 15)+180,
a) The angular frequency (ω) = 2π * frequency
but ω = π/15, hence:
π/15 = 2π * frequency
frequency = (π/15)/2π
frequency = 1/30 hertz
Period (T) = 1/frequency = 1/(1/30) = 30 seconds
b) The period is 30 seconds. This means that it reaches the maximum temperature every 30 seconds.
In one hour (3600 s), the number of times the function reaches a maximum temperature = 3600 s / 30 s = 120
The distance between -5 and -10 is 5. the distance between 2 and 4 is 2
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.
