Answer: The actual rate of the mortgage is 5.27%.
Since we're taking two mortgages for a total of $200,000 for 30 years, we can find the actual rate of the mortgage by finding the weighted average of the two rates. The weights in this case will be the proportion of loan taken at each rate
We have
Rates Weights Rates * Weights
4.15 0.80
9.75 0.20
Total 5.27%
Answer:
Actual Price paid for materials = $4.2136 2,200 = $9,270
Actual price per unit = $4.2136
Explanation:
Provided information,
Standard Material per unit = $4
Total cost = $8,400
Standard Quantity = $8,400/$4 = 2,100 units
Provided Material Price variance = $470 unfavorable = - $470
Material Quantity Variance = $400 Unfavorable = - $400
Using Material Quantity Variance
- $400 = (2,100 - Actual Quantity) $4
-$400/$4 = 2,100 - Actual Quantity
Actual Quantity = 2,100 + 100 = 2,200 units
Now, putting this value in Material Price Variance we have,
- $470 = ($4 - Actual Price) 2,200
-$470/2,200 = $4 - Actual Price
- $0.214 = $4 - Actual Price
Actual Price = $4 + $0.2136 = $4.2136
Final Answer
Actual Price paid for materials = $4.2136 2,200 = $9,270
Actual price per unit = $4.2136