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Papessa [141]
2 years ago
5

MARCELLA LANDON WINS THIRD PRIZE IN THE CLEARINGHOUSE SWEEPSTAKES AND

Mathematics
1 answer:
Triss [41]2 years ago
5 0

The amount of money in the account after 10 years is $278,814.10.

<h3>What will be the value of the account after 10 years?</h3>

The first step is to determine the amount she has left to invest.

Amount invested = amount won - amount spent on vacation

$250,000 - $10,000 = $240,000

The second step is to determine the future value of the account. The formula for calculating future value:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate = 1/5/12 = 0.125%
  • m = number of compounding =12
  • N = number of years

240,000 x 1.00125^(12 x10) = $278,814.10

To learn more about future value, please check: brainly.com/question/18760477

#SPJ1

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I need help with an algebra assignment right away!
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4 0
3 years ago
jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

\frac{d^2A}{dx^2} = -2

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

8 0
3 years ago
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