so, 2 raised to what power would make 32?? it would be 5 because 2^5=32
2^1=1
2^2=4
2^3=16
2^5=32
Answer:
18.61
Step-by-step explanation:
Principle = £4500
Time = 6yrs
Rate = n%
Simple interest = £5025
n = ?
We know,
SI =PTR/100
£5025 = £4500*6*n/100
£502500 = £27000*n
n = 18.61
Answer:
C. 
Step-by-step explanation:
Since 40% of the students prefer chocolate ice cream, 60% don't prefer chocolate ice cream. Use this proportion set equal to 25 to find the number of students who prefer vanilla ice cream, instead of chocolate ice cream.
Answer:
Step-by-step explanation:
We have given,
and initial condition 
Now,
Rearranging the variables, we get
Applying integration both sides, we get
⇒
⇒ 
Putting the initial condition (i.e., ), we get
⇒ 
⇒ 
∴ 
We have,
now putting the value of 
in above equation, we get
⇒ 
⇒ 
I assume the carpet has the shape of a rectangle.
Let L = length
Let W = width
The area is 192 ft^2.
LW = 192
The perimeter is 56 ft.
2L + 2W = 56
We have a system of 2 equation in 2 unknowns.
LW = 1922L + 2W = 56
Divide the second equation by 2:
L + W = 28
Subtract W from both sides.
L = 28 - W
Substitute 28 - W for L in the first equation.
LW = 192
(28 - W)W = 192
28W - W^2 = 192
W^2 - 28W + 192 = 0
(W - 12)(W - 16) = 0
W - 12 = 0 or W - 16 = 0
W = 12 or W = 16
L = 28 - W
For W = 12: L = 28 - 12 = 16
For W = 16" L = 28 - 16 = 12
We get: length = 16 and width = 12
or: length = 12 and width = 16
Either answer is correct, but since people think the length is longer than the width, answer with a longer length than the width.
Answer: Length = 16 ft Width = 12 ft
