The points (s, t) that will maximize John's profit is; (12, 0)
<h3>How to use Inequality Constraints?</h3>
We are given the inequality constraints;
s ≤ 12 - 0.5t
s ≥ 10 - t
s ≤ 20 - t
s ≥ 0
t ≥ 0
We are told that John sells the T-shirts for $6 each and the shorts for $14 each. Since the coordinate point is (s, t), when we look at the options and compare with each of the constraints, it is clear that the points (s, t) that will maximize John's profit is; (12, 0)
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Answer: 76Wh
Step-by-step explanation:
Basically all you have to do to find the answer is multiply 80 by 0.05. Then after that you subtract 80 by the answer you got. That's pretty much it.
80
<u>x 0.05</u>
4
80
<u>- 4</u>
76
Answer:
Step-by-step explanation: its 1.87
Answer:
81
Step-by-step explanation:
The formula for calculating the sum of geometric series varies depending on the value of its common ratio.
Given the common ratio to be 2/3 which is less than 1, the formula to be used is given as;
Sn = a(1-rⁿ)/1-r
n is the number of terms of the series
a is the first term
r is the common ratio.
Sn is the sum of the series
Given n = 3, r = 2/3 and Sn = 171,
a= ?
Substituting this values in the formula we have;
171 = a{1-(2/3)³}/1-2/3
171 = a{1-8/27}/(1/3)
171 = a(19/27)/(1/3)
171 = 19a/27 × 3/1
171 = 57a/27
57a = 171×27
57a = 4,617
a = 4,617/57
a = 81
The first term of the series is 81
The main difference between mathematics and other sciences is that mathematics deals with rational models, in which they apply logical implications in axioms they assume. On the other hand, science uses these axioms and models to describe a certain natural phenomenon.
