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Ede4ka [16]
3 years ago
5

Ms.Wright opens a savings account with a deposit of $800. The bank will pay her 3% interest per year A.) how much interest will

Ms.Wright receive at the end of 1/2 year B.) how much interest will she receive at the end of 1 year
Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

A) Ms.Wright receive $12 as interest at the end of 1/2 year.

B)  Ms.Wright receive $24 as interest at the end of 1 year.

Step-by-step explanation:

The sum deposited in the bank = Principle  = $800

The rate of simple interest  = 3%

The time = 6 months  = (6/12) years   =  0.5 years

\textrm{SIMPLE INTEREST} =  \frac{P \times R \times t}{100} \\\implies SI  = \frac{800 \times 3 \times 0.5}{100}  = 12

So, here simple interest = $12.

So Ms.Wright receive $12 as interest at the end of 1/2 year.

B) Now here Time  = 1 year

so, Simple interest   = \frac{800 \times 3 \times1 }{100}  = 24

So Ms.Wright receive $24 as interest at the end of 1 year.

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18 inches.

Step-by-step explanation:

If the ratio for inches to miles is

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A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t
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Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by  

V = V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x

First, we differentiate V(x) with respect to x, to get,

\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450

Equating the first derivative to zero, we get,

\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0

Solving, with the help of quadratic formula, we get,

x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2},

Again differentiation V(x), with respect to x, we get,

\frac{d^2(V(x))}{dx^2} = 24x - 180

At x =

\displaystyle\frac{5(3-\sqrt{3})}{2},

\frac{d^2(V(x))}{dx^2} < 0

Thus, by double derivative test, the maxima occurs at

x = \displaystyle\frac{5(3-\sqrt{3})}{2} for V(x).

Thus, largest volume the box can have occurs when x = \displaystyle\frac{5(3-\sqrt{3})}{2}}.

Maximum volume =

V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}

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A whales dives towards deeper water at a rate of 6 feet per second. It continues for a total of 20 seconds which expression repr
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What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

(x-h)^2 + (y-k)^2 = r^2

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Given

(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)

Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

Putting the values of h,k and r in general form of equation

\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

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