determine the Taxable Income and federal Tax Payable for both the trust and beneficiary under the following alternative assumptions

A trust receives $100,000 in eligible dividends. This is the trust’s only income for the current year. The only beneficiary of the trust is the settlor’s 32 year old son. The son has no income other than that provided by the trust and no tax credits other than his basic personal credit and credits related to any trust income. Ignoring any alternative minimum tax implications, determine the Taxable Income and federal Tax Payable for both the trust and beneficiary under the following alternative assumptions: A. The trust is a graduated rate estate and it distributes all of the dividends to the beneficiary. Assume that the TOSI would not be applicable to the dividends received by the settlor’s son. B. The trust is a graduated rate estate and it does not distribute any of the dividends to the beneficiary. C. The trust is an inter vivos trust and does not distribute any of the dividends to the beneficiary.

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erive the differential equations in terms of the liquid heights h1 and h2.

  Figure 7.18 shows a liquid-level system in which two tanks have cross-sectional areas A1 and A2, respectively. The volume flow rate into tank 1 is qi. A pump is connected to the bottom….

Derive the differential equation relating the liquid height h and the volume flow rate qi at the inlet.

  Consider the single-tank liquid-level system shown in Figure 7.19, where the volume flow rate into the tank through a pipe is qi. The liquid leaves the tank through an orifice….

Derive the differential equations in terms of the liquid heights h1 and h2.

Figure 7.20 shows a hydraulic system of two interconnected tanks that have the same cross-sectional area of A. A pump is connected to tank 1. Assume that the relationship between the….