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Answer:
310,588.5
Explanation:
As is not said we can assume the 2,100 each year to be paid at the end of the year, and the 7% to be used as a compunded anually rate. So let´s first think just about the 2,100, as they are regulary payments, they can be seen as an anuity inmediate, the formula is as follows:

where sn is the future value of the regular payments, i is the interest rate and n is the number of payments and p is the amount of regular payment so in this particular case we have:

=198,367.65
So now let´s think on the gift of 29,000 as it is paid on 10 years, there will remain 20 years with an investment rate of 7% compounded anually. so there we have the classic formula of future value

where FV is the future value, PV is the present value, i is the interest rate per period, and n is the number of periods. Again in this particular case we have:


so the total amont will be:
total=198,367.65+112,220.85
total=310,588.5
We can use the PV of perpetuity formula as the dividends will be paid for the infinite period of time. But we need to do a small adjustment for floatation cost. Following formula can be applied:
Cost of preferred stock = Annual Dividend / (Price x (1- flotation cost %))
= 8.50 / ( 97.50 x (1- 0.04))
= 8.50/93.60
= 9.08%
Answer:
200 Unfavorable
Explanation:
Calculation to determine what The direct materials usage variance for last month was:
Material usage variance =( Direct materials pounds - Direct materials units) * Actual quantity purchased
Let plug in the formula
Material usage variance= (2 pounds *900) -2,000 pounds
Material usage variance= 1,800 - 2,000
Material usage variance=200 Unfavorable
Therefore The direct materials usage variance for last month was 200 Unfavorable
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