This question is Incomplete
Complete Question
Recall the hurricane relief fund context from the previous investigation. Bob set up a hurricane relief donation fund and started it off by donating $ 35 . Instead of tripling in value each day, suppose it doubled in value each day
Complete the following table showing the account values at the end of each day.
Number of days since the initial investment, n Amount (in dollars) in the relief account, A
0 1 2 3 4
Answer:
Number of days(n) = Amount (in dollars) in the relief account(A)
0 = $35
1 = $70
2 = $140
3 = $280
4 = $560
Step-by-step explanation:
The formula for doubling time
P(t) = Po(2)^t/k
Where P = Amount after time t
Po = Initial Amount
t = number of days
k = Frequency at which it doubles
For 0 days
t = 0, k = 1, P(o) = $35
P(t) = Po(2)^t/k
P(0) = $35(2)^0/1
= $35(2)⁰
= $35 × 1
= $35
For 1 day
t = 1, k = 1 , P(0) = $35
P(t) = Po(2)^t/k
P(0) = $35(2)^1/1
= $35(2)¹
= $35 × 2
= $70
For 2 days
P(t) = Po(2)^t/k
t = 2, k = 1, P(0) = $35
P(0) = $35(2)^2/1
= $35(2)²
= $35 × 4
= $140
For 3 days
P(t) = Po(2)^t/k
t = 3, k = 1
P(0) = $35(2)^3/1
= $35(2)³
= $35 × 8
= $280
For 4 days
P(t) = Po(2)^t/k
t = 3, k = 1, P(0) = $35
P(0) = $35(2)^5/1
= $35(2)⁴
= $35 × 16
= $560
