What is the value of x? Enter your answer in the box. x = ?
2 answers:
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Answer:
Step-by-step explanation:
This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.
Our given equation is
x + y = 215 and we want to maximize the product, xy. Therefore,
y = 215 - x so its product in terms of x is
x(215-x) which is
. The derivative of this is
215 - 2x. Set it equal to 0 to maximize it.
215 - 2x = 0 so
-2x = -215 and
x = 107.5.
Sub this in to solve for y:
y + 107.5 = 215 and
y = 107.5
The product is 11556.25, not that you need it.
Answer:
The statements (c) and (d) are correct.
Step-by-step explanation:
The general formula to compute the compound interest is:
Here,
P = principal amount
r = rate of interest
t = time
The function provided to determine the amount of money compounded in Will's savings account is:
On comparing the two equations it can be seen that:
So the interest rate is, 3%.
So, the number 1.03 implies that Will's savings account increases by 3% each year.
And the growth factor of Will's savings account is 1.03.
Thus, the statements (c) and (d) are correct.