9514 1404 393
Answer:
- Mark: s = 200 +20j
- Ryan: s = 350 +15j
- 30 jobs
Step-by-step explanation:
The amount in savings (s) will be the initial amount plus the product of the pay per job and the number of jobs (j).
<u>Mark</u>
He initially has $200, and is paid $20 per job. His savings will be ...
s = 200 +20j
<u>Ryan</u>
He initially has $350, and is paid $15 per job. His savings will be ...
s = 350 +15j
<u>Same Savings</u>
The savings will be the same when the difference between the amounts is zero:
s - s = 0
(200 +20j) -(350 +15j) = 0 . . . . . substitute the expressions for s
-150 +5j = 0 . . . . . collect terms
-30 +j = 0 . . . . . . . divide by 5
j = 30 . . . . . . add 30
The brothers will have the same amount in savings after they each work 30 jobs.
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
The answer is 3.
Step-by-step explanation:
Answer:
(−x−1)(x−1) or 1−x^2
Step-by-step explanation:
(1-x^2)
Rewrite 1-x^2 as 1^2-x^2. The difference of squares can be factored using the rule: a^2
−b^2=(a−b)(a+b).
(1−x)(1+x)
Reorder the terms.
(−x+1)(x+1)
