3.7 ÷ 1.1 = ? Round to the nearest hundredth. A. 0.297 B. 3.36 C. 4.07 D. 4.8

There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the

jasenka [17]

We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,
22,000 + 4000(t -1) = 26,000 + 2000(t - 1)
The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.

7 0

2 years ago

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△HKS∼△DLY What is DY ? Enter your answer, as a decimal, in the box.

Triss [41]

The answer is 41 inches. Since △HKS∼△DLY, so the measurements of the angles are just the same. So if the sides are 15 x 20 x 32. Then to get the sides of the other triangle is simply adding what is the measurement of the sides from the first triangle. so it is 24 x 29 x 41. So the answer of DY is equal to 41 inches.

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2 years ago

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A rectangular piece of land is 40m long and 25m wide. A path of uniform width and 426 m^2 area sorrounds

fredd [130]

Answer:

Width of the uniform path that surrounds the piece of land = 3 m

Step-by-step explanation:

Let the width of the path that surrounds the piece of land be x.

The situation described is sketched in the attached image to this solution.

The dimension of the Length of the piece of land including the uniform path that surrounds it = (40 + 2x) m

The Breadth of the piece of land including the uniform path that surrounds it = (25 + 2x) m

The area of the piece of land including the uniform path that surrounds it

= (Area of the piece of land) + (Area of the uniform path that surrounds it)

Area of the piece of land = Length × Breadth = 40 × 25 = 1000 m²

Area of the uniform path that surrounds it = 426 m² (Given in the question)

The area of the piece of land including the uniform path that surrounds it = 1000 + 426 = 1426 m²

But the area of the piece of land including the uniform path that surrounds it is also

= (Length of the piece of land including the uniform path that surrounds it) × (Breadth of the piece of land including the uniform path that surrounds it

= (40 + 2x) + (25 + 2x)

= 1000 + 80x + 50x + 4x²

= (4x² + 130x + 1000) m²

Equation these 2 areas

4x² + 130x + 1000 = 1426

4x² + 130x - 426 = 0

Solving the quadratic equation

x = 3 or -35.5

Since the width cannot be negative,

x = 3 m

Hope this Helps!!!