Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
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When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
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To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.
Answer:
Simplified version: 10x^5 - 1x^4 + 2x^3 - 6
Step-by-step explanation:
Since your birthday is 10/1/2006 we can use 1012006 as our digits.
We can make a random polynomial: 10x^5 - 1x^4 + 2x^3 + 0 x^2 + 0x - 6
(since 0 are meaningless we can simply this further into the below equation)
10x^5 - 1x^4 + 2x^3 - 6
Here's an example: https://www.wyzant.com/resources/answers/730225/birthday-polynomial-project-for-04-15-2004
Colors are Qualitative and Nominal: Qualitative, because there is no number involved for "color" and Nominal, because their is no natural ordering for color