Answer: 9m^4- 30m^3 +37m^2 - 20m + 4
Step-by-step explanation:
(3m^2 -5m +2)^2 is the same as (3m^2 -5m +2)(3m^2 -5m +2)
Now apply the distributive property 3 times to solve.
3m^2(3m^2 -5m + 2) = 9m^4 - 15m^2 + 6m^2
-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m
2(3m^2 -5m +2) = 6m^2 - 10m + 4
Now add the solutions
(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =
9m^4- 30m^3 +37m^2 - 20m + 4
Answer:
W = 8 feet
Step-by-step explanation:
The rug is rectangular in shape.
Area of a rectangle = Length x Breadth
Given
Area = 104 square feet
length = 13
Therefore
104 = 13 x w
Divide both sides by 13
104/13 = 13/13 x w
8 = w
W = 8 feet
The rug is 8 feet wide
Answer:
total cost of her loan be if she paid it off 8 years early $389,507.11
Step-by-step explanation:
The formula for annual compound interest, including principal sum P, rate of interest r, number of years t, and the number of times that interest is compounded per year is n:
A = P (1 + r/n)^ (nt)
calculate total cost after 22 years
P = $145,000
r = 4.5 %
t = 22 years
n = 12
A = P (1 + r/n)^ (nt)
A = 145,000(1 + 4.5/12)^ (22x12)
A = $389,507.11
there's a (local) maximum at
.
For
,
because the factor
.
You have to check values of
around
.
The above means that at
and
there are (global) maxima.
Answer:
3/10 shade 3 in
Step-by-step explanation: