If we consider the first half mile to be charged at $0.30 per tenth also, that half-mile costs $1.50 and the charges amount to a fixed fee of $2.00 and a variable fee of $0.30 per tenth mile.
After you subtract the $2 tip and the fixed $2 fee from the trip budget amount, you have $11.00 you can spend on mileage charges. At 0.30 per tenth mile, you can travel
... $11.00/$0.30 = 36 2/3 . . . . tenth-miles
The trip is measured in whole tenths, so you can ride ...
... 36 × 1/10 = 3.6 miles
_____
If you want to see this in the form of an equation, you can let x represent the miles you can travel. Then your budget amount gives rise to the inequality ...
... 3.50 + 0.30((x -.50)/0.10) + 2.00 ≤ 15.00
... 3.50 + 3x -1.50 +2.00 ≤15.00 . . . . . . . eliminate parentheses
... 3x ≤ 11.00 . . . . . . . . . . . . . . . . . . . . . . . . collect terms, subtract 4
... x ≤ 11/3 . . . . . . . . . . . . . . . . . . . . . . . . . . divide by 3
... x ≤ 3.6 . . . . . rounded down to the tenth
M equals c over e is not equal to e=mc
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.
Ken grew .425 of an inch more than sang because 4/5 is .8 and 3/8 is .375 what you do is you take those two numbers and subtract the smaller one from the bigger one and you get .425 and ken had the bigger growth. plz rate me brainliest
