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2 years ago

~SIMPLE AND COMPOUND INTEREST~

1 answer:

6 0

Let's start by the easiest case, Lara's :
$800+800*(6/100)*10=1280$

Now for Carly : 6% on a year -> 3% semi anually
Hence after 10 years = 20 half years she'll have $800*(1+3/100)^20\approx1444.89$

Answer B

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Since most stores will calculate the total price of your purchase why is it important to be able to calculate discounts

kkurt [141]

Answer:

Step-by-step explanation:

it is important because if you don't then you will be charged more than what you are supposed to pay

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3 years ago

Judy paid $120.96 for carpet for her room that is 144 ft.² Nathan like the carpet she chose but he wasn't sure it would match th

Annette [7]

Answer:

$0.84

Step-by-step explanation:

120.96/144= 0.84

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2 years ago

Mr. Shaw wants to replace the flooring his family room. The floor has an area of 262.8 square feet. If the room is 18 feet long,

iVinArrow [24]

Answer:

14.6

Step-by-step explanation:

The area of a rectangle is area=length*width

so we can substitute the numbers here, 262.8=18w

divide 262.8 by 18 to isolate the variable.

You get 14.6.

The width is 14.6.

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2 years ago

Solve x^2-8x=3 by completing the square.

vfiekz [6]

Answer:

x=4+(19)^1/2,x=4-(19)^1/2

Step-by-step explanation:

7 0

2 years ago

A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,

Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

= x²y cubic feet

1000 = x²y

y = $\frac{1000}{x^2}$ -------(1)

Material used in the prism = Surface area of the rectangular prism

= 2(lb + bh + hl)

Here, h = height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

S = 2(x² + 2xy) - x²

S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + $2x(\frac{1000}{x^{2} })$

= x² + $\frac{2000}{x}$

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - $\frac{2000}{x^{2} }$

2x - $\frac{2000}{x^{2} }$ = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = $\frac{1000}{(10)^2}$

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0

2 years ago