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USPshnik [31]
3 years ago
7

Sharon Bernstein rents an apartment for $1,110 a month. She has these annual expenses: electricity, $980; gas, $1,100; phone/cab

le/Internet, $2,100; insurance, $450; and lost interest $52. What are the annual expenses?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Answer:

Annual expenses INCLUDING cost of annual rent: = $17,597

Annual expenses EXCLUDING cost of annual rent: = $4,277

Step-by-step explanation:

Annual expenses EXCLUDING cost of annual rent:

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $980 + $1,100 + $2,100 + $45 + $52

= $4,277

Annual expenses EXCLUDING cost of annual rent: = $4,277

Annual expenses INCLUDING cost of annual rent:

Rent = $1,110 per month

Annual rent = $1,110 per month × 12

= $13,320

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $13,320 + $980 + $1,100 + $2,100 + $45 + $52

= $17,597

Annual expenses INCLUDING cost of annual rent: = $17,597

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Write the doubles plus one fact for 7+7.
Pie

Answer:

7 + 8 = 7 + 7 + 1.

Step-by-step explanation:

We know that, 'double plus one facts' is used to make the addition of numbers easy.

For e.g. we have 8 + 9 = 17. This addition can also be done as 8 + 8 + 1 = 17 i.e. we write first term twice and add 1 to get the result.

Hence, we give the name to this type of addition as 'double plus one'.

Now, we have to use this fact for 7 + 7.

So, we consider 7 + 8 = 15.

Therefore, 7 + 8 can be written as 7 + 7 + 1

Hence, the double plus one facts for 7 + 7 is 7 + 8 = 7 + 7 + 1.

7 0
4 years ago
Read 2 more answers
The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm h
noname [10]

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

  • M ∝ AT

Removing the proportionality sign,

  • M = KAT

Where:

  • K = constant of proportionality.

make K the subject of the equation:

  • K = M/KT.................... Equation 1

From the question,

Given:

  • M = 200 g
  • A = 250 cm²
  • T = 1 mm = 0.1 cm

Susbtitute into equation 1

  • K = 200/(250×0.1)
  • K = 8 g/cm³

Formula:

  • M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

  • A = 400 cm²
  • T = 3 mm = 0.3

Substitute these values into equation 2

  • M = 8(400)(0.3)
  • M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: brainly.com/question/26047253

6 0
2 years ago
A rock is released from rest and freely falls 70 m to the ground. What is its velocity just before impact? A. 1.2 m/s B. 7.0 m/s
Yuri [45]

Answer:

37.04 m/s

Step-by-step explanation:

we can use the equation x = x0 + v0t + 1/2at^2

a = -9.8 m/s^2, the acceleration due to gravity

x0 = 70 m, the starting point of x

v0 = 0 m/s

x = 0

this will allow us to solve for time

0 = 70 + 0 +-4.9t^2

t = 3.779

now we can use the equation v = v0 + at

v = 0 + 9.8(3.77)

v = 37.04 m/s

5 0
3 years ago
The function H(t) = -16t^2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second projectile objec
Ulleksa [173]

Answer:

t H(t) g(t)

1 139 58.7

2 151 97.4

3 131 136.1

4 79 174.8

between 2nd and 3rd both are equal.

it shows they are at same height when t is between 2 and 3

6 0
3 years ago
The vertices of ABC are A(-2, 2), B(6,2), and CO, 8). The perimeter of ABC?
Alexxx [7]

Answer:

Perimeter = 22.809836694575                              

Step-by-step explanation:

A(-2, 2)  ;  B(6,2)  ;  C(0, 8)

AB=\sqrt{\left( 6--2\right)^{2}  +\left(2-2 \right)^{2}  } =\sqrt{64} =8

AC=\sqrt{\left( 0--2\right)^{2}  +\left(8-2 \right)^{2}  } =\sqrt{40} =2\sqrt{10}

BC=\sqrt{\left( 0-6\right)^{2}  +\left(8-2 \right)^{2}  } =\sqrt{72} =6\sqrt{2}

Then

The perimeter of ΔABC = AB + BC + AC

                                       =8+6\sqrt{2} +2\sqrt{10}

                                       = 22.809836694575

3 0
2 years ago
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