Answer:
The amount invested in funds that earned 12% profit is 31000
The amount invested in stock that suffered 5% loss is 6,000.
Step-by-step explanation:
Let x be the amount invested in funds that earned 12%.
Then the amount invested in stock that suffered 5% loss is 37000 - x.
The profit from investment in funds is = 12% of x
= 0.12·x
The loss from investment in stock is = 5% of (37000 - x)
= 0.05 × (37000 - x)
The net profit is 0.12·x - 0.05 × (37000 - x)
As the net profit given in the problem is $3420, we have :
0.12·x - 0.05 × (37000 - x) = 3420
Solving for x, we have :
12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)
12·x - 185000 + 5·x = 342000
17·x = 527000
⇒ x = 31000
Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.
4 months because, 2 divided by 0.5 is 4 therefore she has been measuring the tree for 4 months
Answer:
82.125
≈82.12 ( am not sure if it need to be estimated )
Step-by-step explanation:
1 hr -> 10.95
30m-> 5.475
10.95x7=76.65
76.65+5.475=82.125
≈82.12 ( am not sure if it need to be estimated )
Answer:
i do not know
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
With those problems if you are not given a picture is good we draw one.
Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW then
m < XVY = m < YVW
2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms
2x-x = 15-7, combine like terms
x = 8
From the picture and the given we see that
m < XVW = m < XVY + m < YVW
m < XVW = 2x+7 + x+15 , combine like terms
m < XVW = 3x + 22, substitute x for 8
m < XVW = 3*8 + 22
m < XVW = 46
Check our work:
m < XVY = 2x+7 = 2*8 +7 = 16 +7 = 23
m < YVW = x+15 = 8 +15 = 23
m < XVW = m < XVY + m < YVW = 23+23 =46
