Answer:
(in order from smallest to largest) D. C. A. (0.5) B.
Step-by-step explanation:
first 1/10 is the smallest so it will go the closest to 0 then 1/4 then 2/5 then 2/3
Answer:
The correct answer is: width b = x - 1
Step-by-step explanation:
Given:
Polynomial function or cubic equation which represents the volume of the rectangular prism P(x) = x³ + 9 x² + 6 x - 16
The formula to calculating volume of the rectangular prism is:
V = a · b · c Where a is length of the base, b width of the base and c is height
In this case a = x + 2, c = x + 8 and b = ?
We can factorize the given equation using the Bezu theorem :
P(1) = 1³ + 9· 1² + 6 · 1 - 16 = 0
This means that the polynomial is divided by the binomial (x - 1) without residue.
We will divide polynomial function with binomial (x - 1)
(x³ + 9 x² + 6 x - 16) : (x - 1) = x² + 10 x + 16
When we multiply a · c = (x + 2) (x + 8) = x² + 10 x + 16
We have formula V = a · b · c, from which we conclude that
width is b = (x - 1)
The second solution is to divide P(x) with a · c = (x + 2) (x + 8) = x² + 10 x + 16
and get b = (x - 1)
God with you!!!
The seats in the classroom form a square pattern
of four columns and six rows.
There is one of these mystery objects in every seat
between the hours of 9:00 AM and 12:00 Noon,
and also between the hours of 1:00 PM and 4:30 PM.
a). How many objects are there in seats at 12:45 PM ?
b). How many objects are there in seats at 2:07 PM ?
c). What do you think the mystery objects are ?
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
