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aivan3 [116]
3 years ago
13

Evan has $4,000 that he wants to put into a saving account until he leaves dor college, which will be 6 years from now. How much

more money will he have in his saving account if he choose Bank B instead of Bank A?
Bank A. 4.5%

Bank B. 4.9%

please help its due
tomorrow
Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Steps:
1) 4,000 * .045 = 180
2) 180 * 6 = 1,080
3) 4,000 + 1,080 = 5,080

4)4,000 * .049 = 196
5) 196 * 6 = 1,176
6) 4,000 + 1,176 = 5,176
7) 5,176 - 5,080 = $96
Answer= $96
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<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

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<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

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