The expression for the cost function is cost=60y.
We have given that,
a cup of tea costs 60p.
We have to determine the cost function.
<h3>What is the cost function?</h3>
In mathematical optimization and decision theory, a loss function or cost function is a function that maps an event or values of one or more variables onto a real number intuitively representing some cost associated with the event. An optimization problem seeks to minimize a loss function.
Cost=no of cups(price for one cup)
cost=60y
Therefore the expression for the cost function is cost=60y.
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Answer:
Matthew's money will double fastest in 6 years.
Step-by-step explanation:
<u><em>The complete question is</em></u>
Answer the question for each scenario<u><em> by applying the rule of 72</em></u>. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?
we know that
The <u><em>Rule of 72</em></u> is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.
so
Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

therefore
Matthew's money will double fastest in 6 years.
Since BD is the perpendicular bisector of AC, then AB = BD, so:
6x = x+15
5x=15
x=3
CB = 3+15 = 18
Answer:
x = -2, y = 3
Step-by-step explanation:
Given equations are,
4x + 5y = 7 ---------(1)
3x - 2y = -12 ----------(2)
Multiply equation (1) by 3
12x + 15y = 21 ------(3)
Multiply equation (2) by (-4)
-12x + 8y = 48 --------(4)
Now add equations (3) and (4),
(12x + 15y) + (-12x + 8y) = 21 + 48
(12x - 12x) + (15y + 8y) = 69
23y = 69
y = 3
From equation (2),
3x - 2(3) = -12
3x - 6 = -12
3x = 6 - 12
x = -2
Therefore, x = -2 and y = 3 will be the answer.
X=5.5 is what I got when I did the math