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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
Answer:
D
Step-by-step explanation:
Use logarithms properties:

Now,

and

Hence, correct option is option D.
In this case probability is the likelihood that from 264 customers one customer wins free gallon of milk with his food purchase, or in other words the probability that one customer receives a star on his receipt.
Probability is the ratio of the number of favorable outcomes to the total number of all possible events. From 264 customers, 219 have not received a star. The opposite is to receive a star and that is the situation: (1-219)/264=0.17,
A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n