Answer:
Angle A = 42°
Side b (Opposite side of angle B) = 13
Side c (Opposite side of angle C) = 29
Answered by GAUTHMATH
Increasing: (-4,-4)
Decreasing: (4,-2)
We set up a proportion: 14/?= 1/5
Cross multiply: 1*?= 14*5
⇒ ?= 14*5/1= 70
1/5 of 70 is 14.
Answer: $4850
Step-by-step explanation:
The other information related to the question is:
Direct materials = $3.50
Direct labor = $1.10
Variable overhead = $0.45
Fixed overhead = $2.80
Total = $7.85
Based on the information given in the question, the increase in the profit will be calculated as the contribution from the 3000 extra units minus the worker's salary.
Contribution from 3000 units will be:
= (Selling price - Direct materials - Direct labor - Variable overhead) × 3000
= ($25 - $3.50 - $1.10 - $0.45) × 3000
= $19.95 × 3000
= $59850
Increase on Profit:
= $59850 - $55000
= $4850
To answer this question you have to create a system of equations. The first equation will be that Devi's money (x) equals her brother's money (y), or x = y. The next equation would be that (3/5)x + (7/10)y = 78. You than can substitute x in for y because x = y. The equation would know be (3/5)x + (7/10)x = 78. You then combine the like terms to create an equation of (13/10)x = 78. Then, multiply both sides by 10 / 13 in order to isolate x. This will create the equation x = 60. This means that Devi and her brother each had 60 dollars. You then find out how much they spent and add it together. You can do so with the equation (2/5)x + (3/10)y = z, with z being total money spent. You substitute 60 in for x and for y then solve. When you solve you see that 24 + 18 = z, or that z equals 42. In other words, they spent 42 dollars altogether.
