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LekaFEV [45]
3 years ago
5

A man took out a $44,000 construction loan to remodel a house. The loan rate is 8.5% simple interest per year to be repaid in th

ree months. How much is paid back?​
Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

9514 1404 393

Answer:

  $44,935

Step-by-step explanation:

The amount due will be ...

  A = P(1 +rt) . . . . principal P at annual rate r for t years

__

3 months is 3/12 = 1/4 years, so the amount is ...

  A = $44,000(1 +0.085×1/4) = $44,935 . . . amount paid back

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4 0
2 years ago
The gate of a stadium ha two pillars each of height 10ft.with four visible lateral faces and 3ft*3ft bases .the top of eaxh pill
lbvjy [14]

The pillars and the pyramids in the stadium gate means that we have to calculate the area of the items that make up the gate one after the other. At the end of the calculation, the calculated areas are then added up.

The total cost of painting is Rs.21344

First, we calculate the area of 1 side of 1 pillar using:

A = Height * Base

Where

Height = 10ft --- Height of the pillar

Base = 3ft --- Base of the pillar

So:

A = 10ft * 3ft

A = 30ft^2

The area of the 4 sides of the pillar is:

A_2 = 4 * A --- i.e. 4 multiplied by the area of 1 side

A_2 = 4 * 30ft^2

A_2 = 120ft^2

The area of the 2 pillars is:

Area_1 = 2 * A_2 --- i.e. 2 multiplied by the area if 1

Area_1 = 2 * 120ft^2

Area_1 = 240ft^2

Because one part of the pyramid won't be visible, we calculate the area of the pyramid using:

Area = lw + l\sqrt{(w/2)^2 + h^2} + w\sqrt{(l/2)^2 + h^2}

Where:

h = 2 -- the height

l = w = 3 --- the base of the pillar is the length and width of the pyramid.

So, we have:

Area = 3\sqrt{(2/2)^2 + 2^2} + 3\sqrt{(2/2)^2 + 2^2}

Area = 3\sqrt{1 + 4} + 3\sqrt{1 + 4}

Area = 3\sqrt{5} + 3\sqrt{5}

Area = 6\sqrt{5}

For the two pyramids, the area is:

Area_2 = 2 * 6\sqrt 5 -- 2 multiplied by area of 1

Area_2 = 12\sqrt 5

Area_2 = 26.8

So, the total area to be painted is:

Total = Area_1 + Area_2 --- the sum of the area of the pillars and the pyramids

Total = 240+26.8

Total = 266.8ft^2

The unit cost of paint is:

Rate = Rs80 per sq.ft

The total cost of painting is:

Cost = 80 * 266.8

Cost = Rs.21344

Read more at:

brainly.com/question/14320476

7 0
3 years ago
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