Each set of furniture costs $2,419. How much would it cost to buy 5 sets of furniture?

Mathematics

2 answers:

DiKsa [7]2 years ago

7 0

Answer:

$12,095

Each set of furniture costs $2,419, right? So if that's what each set cost, all you have to do is multiply by 5 to get your answer.

Alexandra [31]2 years ago

6 0

Answer:

2419 times 5 equals 12095$

Step-by-step explanation:

You might be interested in

The population of cats in a shelter decreased from 100 to 55. What is the percentage decrease of the shelter's cat population?

torisob [31]

Answer:

70%

Percentage of cats euthanized in shelters: 70%9 Dec 2020

5 0

3 years ago

The answer choices are 11 1 2.48 6

Fudgin [204]

Answer:

The ball reached its maximum height of ( $11\ yards$ ) in ( $1\ second$ ).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

$h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6$

Now factor out the coefficient of the quadratic term:

$h(t)=-5(t^2 -2t) + 6$

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

$h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6$

Now take the balancing term out of the parenthesis:

$\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))$

Simplify:

$h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11$

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

$(1, 11)$