Answer:
θ ≈ 71.6°
Step-by-step explanation:
The angle between two lines with slopes m₁ and m₂ is:
tan θ = | (m₂ − m₁) / (1 + m₁m₂) |
Here, m₁ = -2 and m₂ = 1.
tan θ = | (1 − (-2)) / (1 + (-2)(1)) |
tan θ = | 3 / -1 |
tan θ = 3
θ ≈ 71.6°
Answer: 50 calories
Step-by-step explanation:
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:
= 90/150 = 3/5
One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:
= 12/120 = 1/10
The fat that are provided by a 100 calorie serving of the microwave popcorn would be:
= 3/5 × 100
= 60
The fat that are provided by a 100-calorie serving of the pretzels would be:
= 1/10 × 100 = 10
The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:
= 60 - 10
= 50 calories
Answer:
net income is $48452.81
Step-by-step explanation:
Sales =$147500
subtract operating expenses
-$75500 =$72000
subtract non- operating costs
depreciation -$10200 =$61800
-interest expense payable (16500*7,23%)$1196.25=63603.75
from profit before tax deduct income taxes =63603.75*25%=15150.9375
Net Income is therefore $63603.75-$15150.9375 = $48452.81
Answer:
$537.60
Step-by-step explanation:
12% increase is the same as multiplying by 1.12, 480*1.12=537.60
Step-by-step explanation: Your answer is in the photo
