Krysta bought 24 notebooks and spent $104. The large notebookd cost $6 each and the small notebooks cost $2 each. How many of ea
1 answer:
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Answer:
a) The formula for the sequence is
b)
Step-by-step explanation:
Note that the difference between any two consecutive terms in the sequence is always equal to $3,000
Then we have an arithmetic sequence where each term increases by a magnitude of 3,000 with respect to the previous term.
The explicit formula for an arithmetic sequence is:
Where d is the common difference between the consecutive terms of the sequence
is the first term, or the value of the house after year 1
n represents the number of years since the house was purchased
With
n={0, 1, 2, 3, 4, 5, 6, 7,.., n}
a) Then the formula for the sequence is
With
n={0, 1, 2, 3, 4, 5, 6, 7,.., n}
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b) Now we can use the formula to find the price of the house after 7 years
let the two numbers be x and y
From the first sentence,
xy=24
x+y=10
Then make y in equation 2 the subject of the formular and substitute in equation 1
x+y=10
y=10-x
substituting in equation 2
x(10-x)=24
open the bracket
10x-x^2=24
=-x^2+10x=24
Transfer the constant to the left hand side
=-x^2+10x-24=0
Then factorise completely
Look at the photo above
