an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2

Answer: El lado mayor del rectángulo mide 10cm

Step-by-step explanation:

El perímetro de un rectángulo está dado por:

P = 2*L + 2*A

Donde L es la longitud y A es el ancho.

Como sabemos que un lado es 6cm más largo que el otro, podemos expresar esto como:

L = A + 6cm.

Por lo tanto, P = 28cm = 2*L + 2*A

Sustituyendo la primera ecuación en la segunda tenemos:

28cm = 2*(A + 6cm) + 2*A

28cm = 12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Así que el ancho es 4 cm y la longitud se calcula como L = 4cm + 6cm = 10cm

Let y represent the gallons of water left in the barrel, and let x represent the minutes that have passed. Water escapes the barrel at a rate of 1 gallon for every 10 minutes. Consequently, the appropriate linear equation for this scenario is shown in the attached graph.

Response: B

Detailed explanation: This represents a quadratic function due to its parabolic shape, and it intersects the y-axis at 1.

Greetings: 
<span>(4y-3)²=72 
4y-3 = </span>±√72
thus, y= (3+√72) /4   or y= (3 - √72) /4

Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

Multiply both sides by 10:

Next, factor the quadratic:

Solving for x gives:

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.