Hey can anyone help with this question please and thank you
2 answers:
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1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
For this case we are going to assume the following:
m: whole number greater than zero.
n: integer greater than zero.
Where,
n> m
According to these assumptions, the percentage of growth is given by the following formula:
Answer:
the number of students did grow by:
m: whole number greater than zero.
n: integer greater than zero.
Where,
n> m
According to these assumptions, the percentage of growth is given by the following formula:
Answer:
the number of students did grow by:
Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:
Then to get the incomes:
At 7%:
And at 5%:
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000