Answer:
30 milk chocolates
Step-by-step explanation:
42 ÷ 7 = 6 - a fraction of the chocolates
6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).
-4 + -7= -11
When adding negative numbers if the are both negative then you add them. When you have a negative and a positive you subtract. In this problem they just took out the plus sign.
Bill = $25.85
Tips = 15% x $25.85 = $3.88
Tax = 6.25% x $25.85 = $1.62
Total amount = $25.85 + $3.88 + $1.62 = $31.35
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Answer: He will spend $31.35 in total.
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<span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q:
(1/q)(dq/dp) − 3/p + 0.003 = 0
dq/dp = (3/p − 0.003)q.
So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p.
b) The revenue is pq.
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1:
3 − 0.003p = −1
0.003p = 4
p = 4/0.003 = 4000/3 = 1333.33</span>
The square root of 80 can be broken up into the square root of 16 x square root of 5. We know that the square root of 16 is 4. So in the form (a sqrt b)
A would be 4 and b would be 5.
Answer: 4 sqrt 5
