Nounrate (plural rates)
Derived terms
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GNU Free Documentation License What rate is the water level decreasing when the water is 2m deep? Q. A water tank has the shape of an inverted circulur cone with base radius 3m and height 10m. (a) If water is leaking out of the tank at a rate of 1m^3/min, at what rate is the water level decreasing when the water is 2m deep? (b) If the empty tank is being filled with water at a rate of 1.5m^3/min find the rate at which the water level is rising when the water is 7m deep. Asked by Shaily - Sat Apr 5 14:10:06 2008 - - 2 Answers - 0 Comments A. Volume of cone = V = (1/3)(pi)(r^2h) where r = radius of cone h = height of cone By similar triangles, (3/10) = r/h hence, r = 0.6h Substituting r = 0.6h in the volume formula for the cone, V = (1/3)(pi)(0.6h)^2(h) V = (1/3)(pi)(0.36h^3) V = 0.12(pi)h^3 Differentiating, dV/dT = 0.12(pi)(3h^2)(dh/dT) Solving for (dh/dT), (dh/dT) = (dV/dT)/(0.12 * pi * 3h^2) and at h = 2, (dh/dT) = (-1)/(0.12 * 3.1416 * 3(2^2)) (dh/dT) = -1/4.5239 (dh/dT) = -0.221 m^3/min. b) When the tank is being filled, the same original function and its derivative are still the same. Substituting dV/dt = 1.5 m^3/min h = 7 m then (dh/dT) = 1.5/(.12 * 3.1416 * 3(7)^2) (dh/dT) = 1.5/55.418 (dh/dT) = 0.027 m^3/min. Answered by Pointy - Sat Apr 5 14:36:01 2008 How does the federal interest rate would affect the interest rate of a 30yrs fixed mortgage? Q. im planning to buy a house and it would take 6 months to finish building it , i heard that the Fed might increase interest rate to combat inflation, would this mean that the interest rate on the time i would closed the house would also increase? Asked by Hanhan C - Fri Jun 13 11:58:23 2008 - - 5 Answers - 0 Comments A. Undoubtedly you've heard today the FED has cut down the prime-rate by an additional quarter of a percentage point ( that's the interest rate banks charge to their best customers plus some administrative fees that vary among banks). So the interest cost is on the slide side; I don't think you'd have to worry about an increase by the time your prospect house gets completed. And, with efforts to revive the economy, I doubt if the prime ( that what you should be watching cause that's what your bank is watching too!) would go up significantly before early 2009. Go ahead lock in the fixed-rate mortgage. If interest cost does not go down any further ( probably another one half of a percentage point, before they give out money outright… [cont.] Answered by ammouri - Fri Jun 13 12:19:47 2008 What is the difference between a rate and a unit rate?
Q. What is the difference between a rate and a unit rate? Asked by tuntuni11 - Mon Sep 10 13:37:46 2007 - - 1 Answers - 0 Comments A. A rate is something like 50 miles per hour. Here it expresses the speed of a car -every hour the car moves 50 miles. A unit rate, also known as unitary rate is used to change units. It is called a unit rate for 2 reasons: 1. we are multiplying by "1" and, 2. the expression contains units. The unitary rate for km/miles is 1.0 km/ 0.62 miles = 1. See, the numerator is 1.0 km; the denominator is 0.62 miles. They represent the same distance and so if we divide them we get a logical value of 1. So if we multiply 50 miles/hour by this we don't actually change the answer because we are multiplying by 1 and we all know that multiplying by 1 does not change the answer. However the units get cancelled. Here it is (50 miles / hour ) * (1km/0.62 [cont.] Answered by RL612 - Mon Sep 10 16:42:52 2007 From Yahoo Answer Search: "rate"  blogs.houstonpress.com Wed, 28 Jul 2010 11:04:00 GMT+00:00 Report is Out, Some Mysteries Remain Houston Press (blog) But now this report gives more of the details of what went so off track that the district's access to E- rate funds was frozen since 2006, a compliance ... Report details gifts to Houston school officials Dallas Morning News Memo details costly perks and gifts for HISD employees Houston Chronicle  blogs.wsj.com Wed, 28 Jul 2010 15:48:58 GMT+00:00 Wall Street Journal (blog) Core orders increased by 0.6% month-on-month in June and May's growth rate was revised up to 4.6% from 2.1% previously The negative aspects of the report ...  blueridgenow.com Tue, 27 Jul 2010 09:02:19 GMT+00:00 same BlueRidgeNow.com Henderson County's unemployment rate held steady in June at 8.1 percent, the same figure the county posted for May, according to a NC ... McDowell reports 12.2 percent jobless rate for June McDowell News From Google News Search: "rate"  ezine.churchhouseconf.co.uk 268px x 582px | 37.70kB [source page] May 2009 Back to overview Introducing our new Day Delegate Rate Having reviewed the types of events hosted at Church House over the last year or so it was clear that we would benefit from a rate specifically designed for the organiser In  doctorhousingbubble.com 592px x 714px | 232.80kB [source page] Looks like 2009 is a low year of mortgage rates resets http www doctorhousingbubble com wp content uploads 2008 12 1 mortgage rate resets png Posted by AndrewDover | August 27 2009 8 14 AM From Yahoo Image Search: "rate"  mortgagerate.blognows.com owowonowo Sat, 31 Jul 2010 02:55:48 GM In mortgage loans, you are allotted with a fixed time and . rate. , giving you a clear picture regarding the duration of the loan term. Most of the borrowers opt for mortgage loans, as they can concentrate on a steady monthly payment. ... From Google Blog Search: "rate" From Wikiquote under the GNU Free Documentation License. |
