Question

1. Imani earned grades of 95, 87, and 83 on the first 3 Test in the class. Each of these Test is worth 20 percent of the total grade in the class and the Final Test is worth 40 percent of the class grade (there is no “extra credit” possible and these are the only graded assignments in the class). What grade must Imani earn on the final Test to achieve a final course average of 93 (which will guarantee that she gets a letter grade of A in the class)?

2. Alex and Sam also build tables. Together they make 34 tables in 12 days. Alex working alone can make 46 tables in 30 days. How many days would it take Sam working alone to make 46 tables? (Record your answer in days rounded to one decimal place. For example, if the answer you find is 4.2835 days, record 4.3).

3. 4 – 4x – y = 12 / 8x + 7y + 11 = 35 . Solve for y. Solve for x.

4. In 2019, Strydo, Inc. (a retail clothing company) sold 482,000 units of its product at an average price of $37.50 per unit. The company reported estimated returns and allowances in 2019 of 1.4 percent of gross revenue. Strydo actually purchased 512,400 units of its product from its manufacturer in 2019 at an average cost of $20.00 per unit. Strydo began 2019 with 10,250 units of its product in inventory (carried at an average cost of $20.00 per unit). Operating expenses (excluding depreciation) for Strydo, Inc. in5 2019 were $3,526,000 and depreciation expense was $950,000. Strydo had $44,000,000 in debt outstanding throughout all of 2019. This debt carried an average interest rate of 5.5 percent. Finally, Strydo’s tax rate was 25 percent. Strydo's fiscal year runs from January 1 through December 31. Given this information, compute net income for Strydo, Inc. for 2019.

5. Referring back to the previous problem, compute Strydo’s ending inventory balance for 2019 (that is, what did Strydo report as inventory on its December 31, 2019 balance sheet).

Answer 1

Solution:

Grades on test 1= 95

Grades om test 2=87

Grades on test 3= 83

Grades on final test=? to be calculated.

To calculate the grades on the final test we need to use weighted average formula:

Weighted average=   

whereas, m is the assigned weight and n is the data point to the particular weight.

Here, percent is the weight assigned to the different grades( data points)

weighted average= (20%*95+20%*87+20%*83+40%*x)/20%+20%+20%+40%=93*(100%)

x is the value of the grade that we need to find in final test worth of 40% to make sure the Imani earn course average of 93.

Weighted average=(0.2*95+0.2*87+0.2*83+0.4*x)/0.2+0.2+0.2+0.4=93*1

Weighted average= (19+17.4+16.6+04x)/1=93

19+17.4+16.6+04x=93

53+0.4x=93

0.4x=93-53

0.4x=40

x=40/0.4

x=100

Thus, Imani must earn 100 grades in the final test which is worth of 40% of the class grade to make course average of 93 and earning A grade in the class.