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XYZ Corporation invests \( \$ 3,000 \) into 91-day treasury bills with an interest rate of \( 2.9 \% \). If the broker charges a \( \$ 30 \) commission, what is the yield? yield = [?]\% \[ \text { yield }=\frac{\text { amount invested (interest rate) }\left(\frac{\text { days invested }}{360 \text { days }}\right)}{\text { amount invested }\left(\frac{\text { days invested }}{360 \text { days }}\right)+\text { commission }} \] Give your answer as a percent rounded to the nearest hundredth

Ask by Love Griffin. in the United States
Mar 14,2025

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El rendimiento es aproximadamente el 2.79%.

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To calculate the yield, we need to use the formula provided. Let's go through the calculations step by step: 1. Calculate the interest earned on the investment: \[ \text{Interest} = \text{Amount Invested} \times \text{Interest Rate} \times \left(\frac{\text{Days Invested}}{360}\right) \] Substituting the values: \[ \text{Interest} = 3000 \times 0.029 \times \left(\frac{91}{360}\right) \approx 3000 \times 0.029 \times 0.2528 \approx 21.93 \] 2. Calculate the total amount after the interest: \[ \text{Total Amount} = \text{Amount Invested} + \text{Interest} = 3000 + 21.93 \approx 3021.93 \] 3. Calculate the yield using the formula: \[ \text{yield} = \frac{\text{Interest}}{\text{Total Amount} - \text{Commission}} = \frac{21.93}{3021.93 - 30} \approx \frac{21.93}{2991.93} \approx 0.00733 \] 4. To convert this to a percentage: \[ \text{Yield} = 0.00733 \times 100 \approx 0.733\% \] 5. Rounding to the nearest hundredth, the yield is: \[ \text{Yield} \approx 0.73\% \] So the yield for XYZ Corporation's investment is approximately **0.73%**.

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The following transactions have been extracted from the books of a parthership ZT Traders (partners Zel an Tees) at the financial year end 28 February 20.9. The business applies a \( 60 \% \) mark-up on cost on all goodi The bank account has a credit balance at all times. REQUIRED: Analyse the following transactions under the headings in your Answer Book. The first one has been done a an example for you. TRANSACTIONS: E.g.: Paid the electricty account of R2 500. 1. Received a direct deposit from a tenant for rent of \( R 5500 \). 2. Provision for bad debts of R3 200 must be reduced to R2 900. 3. Bought packing materials on credit for R1 600 less \( 8 \% \) tade discount. 4. Paid the creditor (see No. 3) by EFT the amount owing less \( 5 \% \) discount. 5. Debtor, J. Mkhize, deposited an amount of R4 248 after a discount of \( 11,5 \% \) had been deducted. 6. Partner Zel took goods with a selling price of R5 000 for his own use. 7. Parther Tees withdrew his monthly salary of R12 000. 8. Partner Zel tuansferred a Gr balance of R 45000 on his current account to his capital account. 9. Trading stock with a selling price of R90 000 must be written down to \( 10 \% \) below the cost price as the stock is now old. 10. Dehtor, J. Mshala, claimed an allowance of \( 15 \% \) on goods with a cost price of R3 600 as they were damaged. Alowed her this claim. 11. A creditor with a debit balance of R500 must be transferred to her debtors account. 12. Depreciation must be written off equipment of R4 200. 13. A credit sale of R950 to F. Fly was recorded in the account of B. Bea in error. 14. Transfer the gross profit of R120 000 . 15. Allocate the interest on capital to partner Zel of R15 000. 16. The final division of profit to partreer Tees was R65 000. 17. The Pre-Adjustment Trial Balance showed insurance of R 33800 . This included an annual premium of R13 200 paid on 1 November 20.8. 18. The consumable stores on hand on 1 March 20.8 for 2920 was not reversed. Make the correction. 19. Partner Zel's personal insurance of \( R 750 \) was debited to the insurance account. Paid the rates deposit of R7 800 to the municipality.
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