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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. 113
Step-by-step explanation:
If you take the other numbers and subtract each from the original 236, they all exceed the amount. So the answer would be 113.
Answer:
See the attached figure for better explanation :
Step-by-step explanation :
1. By the unique line postulate, you can draw only one line segment : <u>BC</u>
Since only one line can be drawn between two distinct points.
2. Using the definition of <u>reflection</u>, reflect BC over l.
To find line segment which reflects BC over l, we will use the definition of reflection.
3. By the definition of reflection, C is the image of itself and <u>A</u> is the image of B.
Definition of reflection says the figure about a line is transformed to form the mirror image. Now, CD is perpendicular bisector of AB so A and B are equidistant from D forming the mirror image of each other.
4. Since reflections preserve <u>length</u>, AC = BC
In Reflection the figure is transformed to form a mirror image, Hence the length will be preserved in case of reflection.
