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(b) In 2013, the price for each unit of electricity was 13.5 cents. Over the next 3 years, this price increased exponentially at a rate of 8% per year. Calculate the price for each unit of electricity after 3 years

answer = 17.01 cents

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(ii) In 90 days, the gas used by a family cost $198.16 . Calculate the number of units of gas used.

total in CENTS = (n days x p per day) + (n units x p per unit)19816 = (90 X 24.5) + (y x 5.5)y = 3202 units

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Electricity: 23.15 cents p/day plus 13.5 cents p/unit used Gas price: 24.5 cents p/day plus 5.5 cents p/unit used (a)(i) In 90 days, a family used 1885 units of electricity. Calculate the total cost, in dollars, of the electricity they used.

answer: $275.31(n of days x price p/day) + (n units used x price p/unit)(90 x 23.15) + (1885 x 13.5) = 27531 CENTS27531 CENTS = 275,31 DOLLARS

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integrate (4x^3 +3)(x^4 +3x +16)^2 dx

For this integration, we will use integration by substitution:First, we will let substitute u = X⁴ + 3X + 16 (this may be known as g(x) function and we will need to find the derivative of our u...

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The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2, 6). The line l crosses the x-axis at the point P. Work out the area of triangle OAP.

The area of OAP is 60. The missing information I need is to find the x coordinate of point P. To do this I need to find the equation of the tangent. For this I first found the equation of the radius by fi...

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