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BigorU [14]
2 years ago
11

Sven participates in his employer’s 401k plan. His annual salary is $52,000. Sven contributes 7.5% of his annual salary. His emp

loyer matches his contributions up to 5% of his salary. How much money will be contributed to Sven’s plan for one year?
Mathematics
1 answer:
IgorLugansk [536]2 years ago
5 0

Answer:

$ 6,500

Step-by-step explanation:

(52,000)(0.075)+(52,000)(0.05) = 3,900 + 2,600

= 6,500

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2a-6=4a<br><br> Solve for a<br><br> Check your work
algol [13]

Answer:

-3

Step-by-step explanation:

2a - 6 = 4a

subtract 2a giving you -6 = 2a

divide by 2 from both sides so that a will be by itself

giving you -6 ÷ 2 = a

-6 ÷ 2 = -3

so a = -3

5 0
3 years ago
Pleaseee helpppp mehhhh
Tanya [424]

Answer:

-13x^2 + 6x + 11

Step-by-step explanation:

Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)

6 0
3 years ago
You deposit $900 in a savings account. The account earns 4% simple interest per year. What is the balance after 8 years? What is
xeze [42]
$900+ $288( interest after 8 years)= $1, 188( total balance)
8 0
3 years ago
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
17x&gt;−17.................
blondinia [14]
What? I’m confused what your asking.
5 0
3 years ago
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