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gizmo_the_mogwai [7]
2 years ago
10

Sophie has $200 in a savings account that earns 5% annually. The interest is not

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
4 0

Answer:

$210

Step-by-step explanation:

Formula:

P = A (1 + r% x t)

P: Answer

A: Original value

R%: Percentage increase

T: Time

P = 200 (1 + 5% x 1)

P = $210

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For this case we can make the following rule of three:
 21 ------> 70%
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 Answer:
 
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Researchers for the University of Maryland Department of Civil and Environmental Engineering used stochastic dynamic programming
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2 years ago
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Marysya12 [62]

Answer:  The required solution of the given system is

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x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

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x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (ii), we get

y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.

When, x = 3, then from (iii), we get

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And, when x = 4, then from (iii), we get

y=4-4=0.

Thus, the required solution of the given system is

(x, y) = (3, 1)  and  (4, 0).

8 0
3 years ago
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Svetach [21]

Answer:

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Step-by-step explanation:

proportion:

2/5:6/X

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3 0
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