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tatiyna
3 years ago
10

Evaluate: (4 + 6 ⋅ 3) + 3 16 66 33 25

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

25

Step-by-step explanation:

(4 + 6*3) + 3

(4+18) +3

25

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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
zhuklara [117]

Answer:

For the cost from the two methods to be equal, 3,200 books have to be produced

Step-by-step explanation:

In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.

Since the number of books is something we do not know, let’s represent it with a variable called c.

For the first production method, the cost of production will be ; 58,881 + 8.50c

For the second production method, the cost of production will be; 18,081 + 21.25c

Now since they are said to be equal, we proceed to equate both;

58,881 + 8.5c = 18,081 + 21.25c

58,881-18,081 = 21.25c - 8.5c

40,800 = 12.75c

c = 40,800/12.75

c = 3,200 books

4 0
3 years ago
You lease a car at $395 per month for 3 years. Estimate the total cost of the lease by rounding the monthly payment to the neare
Inga [223]
The lease will cost $14,220 for 36 months at $395 a month
6 0
3 years ago
Read 2 more answers
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
Softa [21]

Answer:

The equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5

Step-by-step explanation:

The equation of line for point=slope form is

y-y₁ = m(x-x₁)

Finding Slope m:

m= y₂-y₁/x₂-x₁

here y₂= 6,y₁= 7,x₂= -3,x₁= -6

m = 6-7/-3-(-6)

m = -1/-3+6

m = -1/3

The slope m = -1/3 and considering point (-6,7) the equation is:

y-y₁ = m(x-x₁)

y-7 = (-1/3)(x-(-6))

y-7 = -1/3(x+6)

y-7 = -1/3x -2

y = -1/3x-2+7

y = -1/3x + 5

So, the equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5

5 0
3 years ago
You have decided to wallpaper your rectangular bedroom. The dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inch
Schach [20]

Answer:

Number of wallpaper needed = At/Aw = 355.3/75

N = 4.74 ~= 5 rolls

Step-by-step explanation:

Given;

Length of the room = 12 feet 6 inches = 12.5 ft

Breadth of the room = 10 feet 6 inches= 10.5ft

Height of the room = 8 feet

Window = 4 ft by 3ft

door = 7ft by 3 ft

Wall paper = 30 inches by 30ft = 2.5ft by 30ft

The total area of the walls of the room is;

Area = Area of the four walls - Area of the two windows and a door.

A = 2LH + 2BH - Area of windows and door

A = 2(12.5×8) + 2(10.5×8) - 2(4×3) -(7×3)

A = 323ft^2

Allowing 10% waste, total area of wallpaper needed is;

At = 323 × 1.10 = 355.3ft^2

Area of wallpaper Aw= 2.5×30 = 75ft^2

Number of wallpaper needed = At/Aw = 355.3/75

N = 4.74 ~= 5 rolls

3 0
3 years ago
Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current in
rusak2 [61]

Answer:

Bond Price​= $1,070.24

Step-by-step explanation:

Giving the following information:

Cupon= $80

Number of periods= 10 years

Face value= $1,000

Interest rate= 7%

<u>To calculate the price of the bond, we need to use the following formula:</u>

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]

Bond Price​= 561.89 + 508.35

Bond Price​= $1,070.24

8 0
2 years ago
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