Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is = 
inches
As given, 4 inch squares are cut from each corner;
So, the width is = 
inches
Length is = 
inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So, 
=> 
=> 
=> 
or 
=> 
=> 
We get , 
; w = -8(neglect the negative value)
; w = 12 inches
And length = 
inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation :
=> 
=> 
Answer:
Step-by-step explanation:
Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is
I = PRT/100
Where
I = interest
P = principal(amount borrowed from the bank)
R = 9% ( rate at which the interest is charged
T = number of years
At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215
Therefore,
The interest = 24215 - 16700 = 7515
Therefore
7517 = (16700 × 9 × t)/100
751700 = 150300t
T = 751700/150300
T = 5 years
Converting 5 years to months,
1 year 12 months
5 months = 12 × 5 = 60 months
Answer:
x= 35
Step-by-step explanation:
supposing we are finding x, we know that the line in the middle is the dimeter. so we know its a semicircle with an arc of 180 degrees. 180-110=70 divide that by two to get x which is 35.
Answer: -11x+15
Step-by-step explanation: distributed property: 2x+2-3x-7-10x+20, -11x+15
