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sukhopar [10]
3 years ago
7

Benny gets a job at a law firm with a salary of $70,000 per year. After the first year, his salary increases to $73,000. Over th

e next five years, he gets an increase of $3,000 every year.
Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
The answer is 88,000
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The length of a rectangular garden is 3yd more than twice it’s width. The perimeter of the garden is 36yd. What are the width an
Basile [38]
2L + 2W = 36
2(3+2W) + 2W = 36
6 + 4W + 2W = 36
6W + 6 = 36
        -6  = -6
6W=30
W= 30/6 = 5     L= 3 + 2W = 3 +2 (5) = 3 +10= 13

Width is 5
Length is 13


7 0
4 years ago
PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0
3 years ago
If the APY of a savings account is 2.4% and if the principal in the savings account is $2200 for an entire year, what will be th
Aleks [24]

To solve this problem, we must recall that the formula for money with compound interest is calculated as:

Total = Principal × ( 1 + Rate ) ^ n

Total = $2,200 × ( 1 + 0.024 ) ^ 1

Total = $2,252.80

<span>Therefore the answer is letter B.</span>

8 0
3 years ago
Read 2 more answers
Please answer fast.
Furkat [3]

Answer:

The answer is D. Hope this helps!

8 0
3 years ago
Read 2 more answers
2. An expression is shown.
laiz [17]

Adding parentheses in the component 9\div 3 of the expression may bring an output of 48.

<h3>Procedure - Application of hierarchy rules in a arithmetic expression</h3>

In this question we should make use of hierarchy rules represented by the use of parentheses. The parentheses oblige to make operations inside it before making it in the rest of the formula.

Now we decide to add parenthesis in the component 9\div 3 such that the result of the entire expression is 48. We proceed to present the proof:

2 \times 8 \times (9\div 3)

2\times 8 \times 3

2\times 24

48

Adding parentheses in the component 9\div 3 of the expression may bring an output of 48. \blacksquare

<h3>Remarks</h3>

The statement presents mistakes and is poorly formatted. Correct form is shown below:

An expression is shown: 2\times 8 \times 9 \div 3

Using the same expression, add parenthesis so that the value of the expression is 48.

To learn more on hierarchy rule, we kindly invite to check this verified question: brainly.com/question/3572440

5 0
3 years ago
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