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2 years ago

It cost $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?

Mathematics

2 answers:

stepladder [879]2 years ago

5 0

$6.99 for 90fl because 3.99 plus 3.99 is about 8 and 25 plus 25 is 50fl which is less the 6.99 for 90fl

vampirchik [111]2 years ago

3 0

<span>The 90 fl. oz. of detergent for $6.99 is a better deal because ;$3.99 per 25 fl. oz. or, 3.99/25, is equal to $0.16,and$6.99 per 90 fl. oz. or, 6.99/90, is equal to $0.08 (rounded).Thus, the 90 fl. oz. bottle costs less per ounce of detergent.</span>

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The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar

Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0

3 years ago

Miko and Raj get the same salary. Every month Miko saves

navik [9.2K]

Answer:

Step-by-step explanation:

The salaries are the same. Only the fraction of how much is saved is quite different.

Equation

x ( 9/11 - 7/9) = 1584

Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.

The amount that is more is 1584.

Solution

9/11 = 0.8182

7/9 = 0.7778

9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404

Put that into the equation.

x(0.0404) = 1584 Divide by 0.0404)

x(0.0404) = 1584/0.0404

answer:x = 39204

8 0

2 years ago

The rate of change of the function f(x) = 8 sec(x) + 8 cos(x) is given by the expression 8 sec(x) tan(x) − 8 sin(x). Show that t