(HELP NEEDED ASAP!!!)The sequence below represents Marisa’s fine at the library for each day that she has an overdue book: $0.50
2 answers:
Answer:
C.
Step-by-step explanation:
The fines Marisa incurs at the library each day for her overdue book are represented in the sequence: $0.50, $0.65, $0.80, $0.95, $1.10,...
This forms an arithmetic sequence in the structure , where
represents the n-th term.
denotes the first term of this sequence.
d= represents the common difference.
Observing the sequence, the first term is identified as 0.50.
To find the common difference, subtract 0.50 from 0.65.
By inserting our established values into the arithmetic sequence formula, we can derive,
Distributing the 0.15 gives us,
Now we can consolidate like terms.
Consequently, the equation accurately represents Marisa’s overdue library fine as a function of the number of days n, confirming that option C is indeed correct.
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Answer:
Yes, the cost in dollars and the quantity of yogurt
are indeed proportional.
The relationship can be expressed as:
Step-by-step explanation:
1. If varies directly with
, it can be represented as:
Here, represents the constant of proportionality.
2. We'll calculate the proportionality constant. Given that and
, we have:
3. Thus, the equation becomes:
4. Now, we need to verify proportionality. Substituting , which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:
5. They are indeed directly proportional.
Answer:
a) 0.32
b) 0.68
c) Office or den
Step-by-step explanation:
a) The likelihood that a personal computer is located in a bedroom can be calculated by adding the probabilities of it being in an adult bedroom, child bedroom, or another bedroom:
b) The probability of a PC not being located in a bedroom is found by calculating 100% minus the probability of it being in a bedroom:
c) The expected location for finding a personal computer in a randomly selected household is derived from the room most likely to contain a PC according to Consumer Digest. The Office or den ranks as the most likely place with a probability of 0.40.
A PC would most likely be found in the Office or den.