Abookcase is to have 4 shelves including the top the width is to be 2 feet less than 2 times the height find the width and the height if the carpenter expects to use 22 feet of lumber to make it.

The width of the bookcase = 4ft

The height of the bookcase = 3ft

Step-by-step explanation:

Let H be the height of the bookcase

Let W be the width of the bookcase

W= 2H - 2ft

A bookcase of 4 shelves will have four widths and 2 heights

2H + 4W = 22ft

Put W= 2H - 2ft into the equation above

2H + 4(2H - 2ft) = 22ft

2H + 8H - 8ft = 22ft

10H - 8ft = 22ft

Collect like terms

10H = 22ft + 8ft

10H = 30ft

H = (30/10)ft

H= 3ft

The bookcase has a height of 3ft each

Put H= 3ft into the equation

2H + 4W = 22ft

2(3) + 4W= 22ft

6ft + 4W = 22fr

4W = 22ft - 6ft

4W = 16ft

W= (16/4)ft

W= 4ft

The width of the bookcase is 4ft each

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

you never say the total so we cant find the percentage used for petrol

step-by-step explanation: