<u>Given:</u>
Zoe gets paid a 1% commission for every sale she makes in addition to base pay.
She sold $8,000 worth of computers on a day and made $140 that day.
<u>To find:</u>
A function P(x) representing total pay on a day where she sells x dollars worth of computers.
<u>Solution:</u>
To determine the function P(x) we need to determine how much Zoe's base pay per day is.
One day, she sold $8,000 worth of computers and made $140 that day.
She gets a commission of 1% for $8,000.
1% of $8,000 
So she got paid $140 out of which $80 was a commission.
So her base pay 
So Zoe's base pay is $60 a day.
P(x) is the sum of her base pay and 1% of the amount of computer sales she makes ($x).
So 
, where x is the computer sales she makes in dollars. P(x) is represented in dollars.
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
Answer:
-3q
Step-by-step explanation:
-q is actually -1q so you just divide 3 by -1 and get -3q
Answer:
40 degrees!
Step-by-step explanation:
95 + 45 = 140
180 - 140 = 40
Answer:
(n + 1)(3n + 7)
Step-by-step explanation:
3n² + 10n + 7
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 7 = 21 and sum = + 10
The factors are + 3 and + 7
Use these factors to split the n- term
3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )
3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term
= (n + 1)(3n + 7) ← in factored form
