Basic Algebra

      Basic Algebra       1)  Solve the equation.  Show the check of your answer in" rel="nofollow">in the origin" rel="nofollow">inal equation.                 2)  Solve the equation by clearin" rel="nofollow">ing fractions first.  Show the check of your answer in" rel="nofollow">in the origin" rel="nofollow">inal equation.                   3)  Solve the equation by clearin" rel="nofollow">ing fractions first.  Show the check of your answer in" rel="nofollow">in the origin" rel="nofollow">inal equation.                   4)  Solve the equation by clearin" rel="nofollow">ing decimals first.  Show the check of your answer in" rel="nofollow">in the origin" rel="nofollow">inal equation.     5)  Solve the equation by clearin" rel="nofollow">ing decimals first.  Show the check of your answer in" rel="nofollow">in the origin" rel="nofollow">inal equation.                 6)   The simple in" rel="nofollow">interest formula is given by I = PRT, where I = in" rel="nofollow">interest earned, P = prin" rel="nofollow">incipal deposited to the account, R = in" rel="nofollow">interest rate in" rel="nofollow">in decimal form, and T = time in" rel="nofollow">in years that the prin" rel="nofollow">incipal remain" rel="nofollow">ins in" rel="nofollow">in the account. a) Solve the formula for R.   b) Use the new version of the formula to fin" rel="nofollow">ind R, the rate of simple in" rel="nofollow">interest, given that a deposit of $10,000 earned $5200 in" rel="nofollow">in simple in" rel="nofollow">interest when left in" rel="nofollow">in an account for 8 years.  Write R as a percent.           7)  The formula A = 2prh tells us the lateral surface area A of a cylin" rel="nofollow">inder with radius r and height h. a) Solve the formula for radius, r.   b) Use the new version of the formula to fin" rel="nofollow">ind the radius of a can that has lateral surface area 376.8 square in" rel="nofollow">inches and height 10 in" rel="nofollow">inches.  Use 3.14 as an approximation for p.           8)  The volume of a pyramid with a square base is given by the formula  , where L = length of the side of the base and H = height of the pyramid. a) Solve the formula for height, H.     b) Use the new version of the formula to fin" rel="nofollow">ind the height if the volume of the pyramid is 270 cubic meters and its base length is 9 meters.   9)  Marguerite in" rel="nofollow">inherited $45,000 and in" rel="nofollow">invested part of it in" rel="nofollow">in her retirement account and donated the rest to a local soup kitchen.  The amount of the in" rel="nofollow">investment was $2000 less than four times the amount of the donation.  How much did Marguerite in" rel="nofollow">invest in" rel="nofollow">in her retirement account and how much did she donate to the soup kitchen?                 10)  The origin" rel="nofollow">inal price of a computer was $1259, but Edgar bought it on sale for $881.30.  What was the percentage discount?