Answer:
she is wrong, offer 2 results in lower interests
Step-by-step explanation:
total amount paid if offer 1 is accepted:
$6,000 x (1 + 3%)² = $6,000 x 1.0609 = $6,365.40
she will pay $365.40 in interests
total amount paid if offer 2 is accepted:
($6,000 x 1.01) x 1.05 = $6,060 x 1.05 = $6,363
she will pay $363 in interests
Compounding interest refers to interest that earns more interest itself, e.g. in the first offer, the $180 of interests charged for the first year will earn $5.40 in extra interests. While offer 2 only charges $60 in interests during the first year which will in turn earn $3 of interests. The difference between both offers is that interest charges in offer 1 earn more interests than the interest in offer 2 = $5.40 - $3 = $2.40
Divide common factors from both numerator and denominator.
Divide 2
8/2 = 4
10/2 = 5
8/10 simplified = 4/5
hope this helps
Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval
.
i.e.
Domain: [-5, 3) U [3, 7)
Range: ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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Answer:
24.50, 10
Step-by-step explanation: