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mote1985 [20]
3 years ago
10

Penny received an unexpected $5,000.00 gift from a distant relative. She invests it

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

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Answer:

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Step-by-step explanation:

we know that

The sum of the interior angles of any quadrilateral must be equal to 360 degrees

so

(7x^{2}-24x)+100+(24-46x)+(3x^{2}+56)=360

solve for x

Combine like terms

10x^{2}-70x+180=360

10x^{2}-70x-180=0

Divide by 10 both sides

x^{2}-7x-18=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-7x-18=0

so

a=1\\b=-7\\c=-18

substitute in the formula

x=\frac{-(-7)(+/-)\sqrt{-7^{2}-4(1)(-18)}} {2(1)}

x=\frac{7(+/-)\sqrt{121}} {2}

x=\frac{7(+/-)11} {2}

x=\frac{7(+)11} {2}=9

x=\frac{7(-)11} {2}=-2

Remember that

The measure of the interior angle cannot be a negative number

For x=9

we have that the measure of one interior angle of quadrilateral  is

24-46x

substitute the value of x

24-46(9)=-390\°

therefore

The value of x=9 cannot be a solution

For x=-2

The measure of the interior angles are

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therefore

The valid value of x is x=-2

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