Answer: 3/2 (simplified: 1.5)
Step-by-step explanation:
X=pi
X=3pi/2
Remove pi from both equations because pi will cancel out each other then you will be left with the equation 3/2. So therefore the rate of change would be 3/2 simplified would be 1.5
Answer:
mean of other sixteen numbers is 40
Step-by-step explanation:
let the total of 20 numbers be x
x/20 = 42
20×x/20 =42×20
x=840
let the total of four numbers be y
y/4=50
4×y/4 = 50×4
y=200
so as to get the difference of x - y
=840-200
=640
the average of sixteen numbers
=640/16
=40
therefore the mean of sixteen numbers is 40
Answer:
- $17,500 at 8%
- $17,500 at 14%
Step-by-step explanation:
The fraction that needs to be invested at the higher rate is ...
(11% - 8%)/(14% -8%) = 3%/6% = 1/2
Half the money should be invested at each of the rates:
$17,500 for 8% return
$17,500 for 14% return.
_____
If you let x represent the amount at the higher rate, then the total return is ...
14%x + 8%(35000 -x) = 11%(35000)
(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000
x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x
Note that this formula is exactly the one we started with, above.
Where are the quadratic equations?