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3 years ago

The sizes of the angles in degrees of the quadrilateral are

Mathematics

1 answer:

luda_lava [24]3 years ago

3 0

Answer:

5x+120

Step-by-step explanation:

first you add the 2x x and x and x that would get you 5x and then add the 20 and 10 and 80 that would get you 120

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Ben Snell has $400 in his savings account. His annual interest rate is 4%. How much simple interest did he earn after six months

Sauron [17]

$400 x .04 x.5 = 8
8+400 = $408.00

8 0

3 years ago

Read 2 more answers

Farmer Smith enclosed his rectangular pasture with fence that cost him $1.50 per linear meter. If his pasture is twice as long a

maria [59]

Answer:

$2,700

Step-by-step explanation:

Let the width of the pasture be x, this means that the length of the pasture will be 2x

The area of a rectangle is L * B

Hence,

x * 2x = 18,000

2x^2 = 180,000

x^2 = 90000

x = 300 meters

This means the length is 600 metres

Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)

= 2 ( 300 + 600)

2 * 900 = 1,800 metres

The cost is thus 1,800 * $1.50 = $2,700

6 0

3 years ago

One ring in the Stonehenge monument was originally made of 30 stones each about 6 feet wide 3 feet thick and 13 feet tall what i

jeka57 [31]

Answer:

The answer to your question is 3978 ft³

Step-by-step explanation:

Data

total number of stones = 30

width = 6 ft

thickness = 3 ft

height = 13 ft

Volume of 17 stones

Process

1,. Calculate the Volume of 1 stone

Volume = width x thickness x height

-Substitution

Volume = 6 x 3 x 13

-Simplification

Volume = 234 ft³

2.- Calculate the volume of 17 stones

Volume = 17 x 234

= 3978 ft³

3 0

3 years ago

Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apar

marishachu [46]

Answer:

To maximize the monthly rental profit, 90 units should be rented out.

The maximum monthly profit realizable is $38,200.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a<0, the vertex is a maximum point, that is, the maximum value happens at $x_{v}$ , and it's value is $y_{v}$ .

In this question:

Quadratic equation with $a = -12, b = 2160, c = -59000$

To maximize the monthly rental profit, how many units should be rented out?

This is the x-value of the vertex, so:

$x_{v} = -\frac{b}{2a} = -\frac{2160}{2(-12)} = \frac{2160}{24} = 90$

To maximize the monthly rental profit, 90 units should be rented out.

What is the maximum monthly profit realizable?

This is p(90). So

$p(90) = -12(90)^2 + 2160(90) - 59000 = 38200$

The maximum monthly profit realizable is $38,200.

3 0

3 years ago

Jackson invested $750 into a savings bond that earned 3% interest each month. At the same time, he also began saving money in a

Greeley [361]

Answer:

<h3><em>33 Is the ANSWER</em></h3>

8 0

3 years ago