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AveGali [126]
3 years ago
5

Susan is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x rep

resent the number of weeks Susan has been adding money. Suppose that x and y are related by the equation 750+50x=y . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.
what is the change per week
what was the starting amount
Mathematics
1 answer:
notsponge [240]3 years ago
8 0
The change per week is 50 and the starting amount is 750. Hope this helped. 
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12345 [234]

Answer:

the volume of the solid is \frac{\pi }{120}

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

so

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = \frac{\pi }{4}( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ \frac{\pi }{4}( x - x² )² dx        

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³  }

so we have;

=  ₀∫¹ \frac{\pi }{4}( x² + x⁴ - 2x³ ) dx  

= \frac{\pi }{4} [ \frac{x^3}{3} + \frac{x^5}{5} - \frac{2}{4} x^4 ]^1_0

= \frac{\pi }{4}[ \frac{1}{3} + \frac{1}{5} - \frac{2}{4} ]

= \frac{\pi }{4}[ \frac{1}{30} ]

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Therefore, the volume of the solid is \frac{\pi }{120}

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The answer is 9.725.
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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Equation

L = a + (n - 1)*d

Givens

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Solution

55 = 13 + (8 - 1)*d               Combine

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55 - 13 = 7d

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