Use the formula for slope to find the value of y such that the line through the points (-2,2) and (1,y) has slope of m= $-\frac{8}{3}$ .

A) y=-2
B) y=2
C) y=6
D) y=5
E) $y=-6$

A researcher wants to examine the effect of fertilizer and the effect of sunlight on the yield of tomatoes.She bought 60 tomato plants at a local garden store.She randomly assigned 30 tomato plants to be planted on the sunny side of the hill and 30 to be planted on the shady side.The 30 plants which are planted on the shady side are randomly assigned to one of three groups.The first group are grown with no fertilizer,the second group with a small amount of fertilizer,and the third group with a large amount of fertilizer.The 30 plants which are planted on the sunny side are likewise randomly assigned to one of three groups.The first group are grown with no fertilizer,the second group with a small amount of fertilizer and the third group with a large amount of fertilizer.All tomato plants are planted at the same time and are all treated alike (in terms of how much they are watered,weeded etc) .Each plant is grown to maturity.The total weight of tomatoes obtained from each plant is recorded.Identify the factor(s) and the number of levels for each.

A) Fertilizer (3 levels) ,location (2 levels)
B) No fertilizer and sunny,small amount of fertilizer and sunny,large amount of fertilizer and sunny,no fertilizer and shady,small amount of fertilizer and shady,large amount of fertilizer and shady (6 levels)
C) No fertilizer,small amount of fertilizer,large amount of fertilizer (3 levels)
D) Sunny,shady (2 levels)
E) Fertilizer (3 levels) ,blocking variable - location (2 levels)

If C_i,R_i,and P_i (where i = 1,2,3…) are used to denote the number of action figures to be produced on captain machines,the number of action figures to be produced on regular machines,and the number of action figures purchased from an outside supplier respectively,which of the following are the constraints that meet production requirements?

A) C₁ + P₁ = 90,000 C₂+ R₂ + P₂ = 153,000
C₃ + R₃ + P₃ = 20,000
B) R₁ + P₁ = 153,000 C₂+ R₂ + P₂ = 180,000
C₃ + R₃ + P₃ = 40,000
C) R₁ + C₁ = 76,500 C₂+ R₂ + P₂ = 45,000
C₃ + R₃ + P₃ = 10,000
D) R₁ + P₁ = 38,250 C₂+ R₂ + P₂ = 22,500
C₃ + R₃ + P₃ = 5,000

A bank pays a simple interest rate of 8% per annum on 40-day GICs. What is the annualized rate of return?

A) 8.00%
B) 8.29%
C) 8.77%
D) 9.13%
E) 8.53%

State the slope and a point on the graph for the point-slope equation $y-7=6(x-8)$ .

A) 6 ; $(-8,-7)$
B) 6 ; $(8,7)$
C) 7 ; $(-8,-7)$
D) $7$ ; $(-48,-7)$
E) $6$ ; $(7,6)$

A six-month non-interest-bearing promissory note issued on April 11, 2015, for $4,000 was discounted at 6.25% simple interest on September 2, 2015. What were the proceeds of the note?

If a time series has a trend and no seasonality,the double exponential smoothing model is the most appropriate model to be used for forecasting.

Solve the proportion: 2 : 5 = 6 : y

A) 15
B) 5
C) 10
D) 6
E) 12

Douglas Johnson had gross earnings of $2,350 last week. He is married and claims himself and his wife as dependents. The weekly withholding allowance for each dependent is $65.38. Using the Table for Married Taxpayers above, figure the amount that will be withheld from his paycheck for federal income tax. (Figure withholding to the nearest cent.)​

Evaluate the following accurate to the nearest cent:
$\frac{\$350}{\frac{0.0975}{12}}\left[1-\frac{1}{{\left(1+\frac{0.0975}{12}\right)}^5}\right]$