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Recent problems solved by 'richwmiller'

richwmiller answered: 9124 problems
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Quadratic_Equations/253497: an emergency flare is fired from a vehicle.its height ,h metres,is given by h(t)= -5t^2+35t+50,where t is the time in seconds. what is the maximum height reached by the flare and how long does it take to reach the maximum height? How long does it take the flare to hit the ground? i got the height at 85m 1 solutions Answer 185819 by richwmiller(9135)   on 2010-01-04 11:47:42 (Show Source): You can put this solution on YOUR website!

logarithm/253331: Solve: log [base3] (x^3 +3) = log [base9] (x^2) + log [base√3] 2 *√; refers to square root sign 1 solutions Answer 185818 by richwmiller(9135)   on 2010-01-04 11:38:44 (Show Source): You can put this solution on YOUR website! Fixed the extra equal sign. Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Miscellaneous_Word_Problems/253494: The average of five consecutive multiples of 5 is 20. What is the largest of these numbers? (A) 20 (B) 25 (C) 30 (D) 35 (E) 40 1 solutions Answer 185816 by richwmiller(9135)   on 2010-01-04 11:30:28 (Show Source): You can put this solution on YOUR website! 5*(n+n+1+n+2+n+3+n+4)/5=20 5n+10=20 5n=10 n=2 5(2+4)=5*6=30 (c)=30 Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Miscellaneous_Word_Problems/253495: What number is halfway between 5/12 and 1/2 ? a 3/14 b 3/7 c 11/24 d 13/24 e 22/24 1 solutions Answer 185814 by richwmiller(9135)   on 2010-01-04 11:27:42 (Show Source): You can put this solution on YOUR website! 5/12=10/24 1/2=12/24 c)11/24 Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Average/253496: The average score of 10 players was 6.5. One player’s score was dropped, changing the average (arithmetic mean) of the remaining scores to 6.0. What score was dropped ? (A) 4.5 (B) 5 (C) 10 (D) 11 (E) 54 1 solutions Answer 185813 by richwmiller(9135)   on 2010-01-04 11:26:05 (Show Source): You can put this solution on YOUR website! Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Finance/253490: An alumnus wants to set up a trust (which earns 9% interest compounded semiannually) to provide a grant to his alma mater of $10,000 every six months, beginning six months from now, for six years. How much should be deposited in the trust? 1 solutions Answer 185812 by richwmiller(9135)   on 2010-01-04 11:24:21 (Show Source): You can put this solution on YOUR website! A = P(1+[i/q])^nq A = Pe^(in) P = Ae^(-in) i = log(A/P)/(n log[e]), n = log(A/P)/(i log[e]). Here e = 2.718281828459 is the base of natural logarithms. Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Miscellaneous_Word_Problems/253493: The President of France delivered a 3 1/2 hour speech beginning at 5 p.m. in Paris. The speech was broadcast live to New York. The time in Paris is 6 hours ahead of New York Time. What was the time in New York when the speech ended? (A) 8:30 a.m (B) 11:30 a.m. (C) 2:30 p.m. (D) 5:30 p.m. (E) 7:30 p.m. 1 solutions Answer 185811 by richwmiller(9135)   on 2010-01-04 11:23:09 (Show Source): You can put this solution on YOUR website! 5+3.5=8.5 8.5-6=2.5= 2:30 pm choice (c) Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Miscellaneous_Word_Problems/253492: In an election between two candidates, the winner received 55% of the 17,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser ? (A) 500 (B) 1,700 (C) 3,000 (D) 7,650 (E) 9,350 1 solutions Answer 185810 by richwmiller(9135)   on 2010-01-04 11:20:41 (Show Source): You can put this solution on YOUR website! winner 55% of 17000 loser 45% of 17000 55-45=10 % 10% of 17000=1700 more than the loser Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Percentage-and-ratio-word-problems/253491: Joe ate 1/8 of a pizza. Jane ate twice as much of the same pizza as Joe. What is the ratio of the amount of pizza the two ate to the amount of pizza remaining ? (A) 1:2 (B) 1:4 (C) 3:5 (D) 3:8 (E) 5:8 1 solutions Answer 185809 by richwmiller(9135)   on 2010-01-04 11:18:18 (Show Source): You can put this solution on YOUR website! Joe 1/8 Jane 2/8 1/8+2/8=3/8 eaten 8/8-3/8=5/8 remaining 3/8/5/8=3/5=3:5 Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Geometry_proofs/253257: given: triangle ABC, median of line CM is extended to point P so that line CM is congruent to line MO, and line AP is drawn. prove: line AP is parallel to line CB. 1 solutions Answer 185808 by richwmiller(9135)   on 2010-01-04 11:05:36 (Show Source): You can put this solution on YOUR website! It is hard to tell from your description where M, O and P are with relationship to ABC. Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Percentage-and-ratio-word-problems/253489: A lab has 65 mice. Some are white and the rest are gray. Which of the following could be the ratio of white mice to gray mice in the lab? 1 solutions Answer 185807 by richwmiller(9135)   on 2010-01-04 11:03:55 (Show Source): You can put this solution on YOUR website! You seem to have forgotten the choices. You also have not told us anything about the number of white or grey mice other than the total mice count is 65. If you don't tell us soon there will be more baby mice which will mess up the ratio. Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Average/253488: The average of 6 integers is less than 30. If the average of the first 5 integers is 25, what is the greatest possible value of the 6th integer? 1 solutions Answer 185806 by richwmiller(9135)   on 2010-01-04 11:00:13 (Show Source): You can put this solution on YOUR website! 5*25=125 The first five integers total 125 If the average of 6 integers is 30 then their sum is 180 180-125=55 The sixth must be 54 or less since we are dealing with integers and 55 makes the average 30 another way to see this is (5*25+y)/6=30 y=55 the sixth integer must be less than 55 Reminder: You are limited to one problem per submission. No more than 4 submissions daily No similar problems.

Angles/253487: the measure of an angle is 12 degrees less than twice the measure of its supplement. what is the measure of the angle? 1 solutions Answer 185805 by richwmiller(9135)   on 2010-01-04 10:40:24 (Show Source): You can put this solution on YOUR website! a=s-12 Now the question- what is a supplementary angle? Do they add up to 90 or 180? 180=a+s a=s-12 angle a 84 and supplement s 96 degrees Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Rectangles/249558: The length of a rectangle is 2in longer than its width. If the perimeter of the rectangle is 36in , find its area. 1 solutions Answer 185804 by richwmiller(9135)   on 2010-01-04 10:36:19 (Show Source): You can put this solution on YOUR website! L=W+2 36=2L+2W 36=2(W+2)+2W 36=2W+4+2W 32=4W 8=W L=10 check 2w+2L=20+16=36 ok Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Coordinate-system/253484: What is a coordinate plane? 1 solutions Answer 185803 by richwmiller(9135)   on 2010-01-04 10:25:29 (Show Source): You can put this solution on YOUR website! If you are asked to do something on a coordinate plane they probably want you to use graph paper. Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Average/253486: The average score on 7 tests in Algebra was 79. What was the sum of all the scores? 1 solutions Answer 185802 by richwmiller(9135)   on 2010-01-04 10:11:51 (Show Source): You can put this solution on YOUR website! 7*79 Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Surface-area/253322: What is the area of triangle ABC, if AB = 8 and M(angle)= 30? 1 solutions Answer 185801 by richwmiller(9135)   on 2010-01-04 10:09:57 (Show Source): You can put this solution on YOUR website! Where is angle M in relation to AB? Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Linear_Algebra/253395: F(x)=3x^2-y^4-2x+3x 1 solutions Answer 185800 by richwmiller(9135)   on 2010-01-04 10:08:06 (Show Source): You can put this solution on YOUR website! A very nice function Do you have a question? I have one. Why are there two x terms and no x^2 term? Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Trigonometry-basics/253423: f(x) = 4sin(3x+3.14/2) 1 solutions Answer 185799 by richwmiller(9135)   on 2010-01-04 10:06:03 (Show Source): You can put this solution on YOUR website! A very nice function Do you have a question?

Travel_Word_Problems/253444: A taxi left Los Angeles at 7:50 am travelling 50 kph. At 9 am, an express train travelling 110 kph left the same spot travelled by the taxi. At what time did the train overtake the taxi 1 solutions Answer 185798 by richwmiller(9135)   on 2010-01-04 10:04:28 (Show Source): You can put this solution on YOUR website! What was the train doing at the taxi stand? rt=d rt=rt 50*x=110*(x-1 1/6) =77/36=72/36 +5/36=2.13889 hours The taxi travelled for 2 hours 8 minutes 20 seconds 7:50+2:8:20=9:58:20 The train travelled for 00:58:20 hours or 58 minutes 20 seconds They met at 9:58:20 am

Money_Word_Problems/253446: 5)Suppose we have 5 mutually exclusive projects, A,B,C,D and E, whose IRR on incremental investment between projects is given as in the following table. (For example IRR(A-B)=17%. IRR(B-D)=14%). Which project should be selected at MARR=15%? A B C D E A 17% 13% 12% 18% B 13% 14% 21% C 11% 16% D 20% E 1 solutions Answer 185792 by richwmiller(9135)   on 2010-01-04 09:45:39 (Show Source): You can put this solution on YOUR website! Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Surface-area/253461: Find the lateral surface area of the right prism whose base is a rectangle. Assume that the altitude is 5 units. 1 solutions Answer 185791 by richwmiller(9135)   on 2010-01-04 09:44:31 (Show Source): You can put this solution on YOUR website! Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Surface-area/253463: In a regular pyramid, AR is 8 feet long. Find the area of one face and the total surface area. 1 solutions Answer 185789 by richwmiller(9135)   on 2010-01-04 09:43:15 (Show Source): You can put this solution on YOUR website! Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Surface-area/253464: If a regular square pyramid has a slant height of 7 units and a base with an edge of 6 units, then what is the area of the base? 1 solutions Answer 185787 by richwmiller(9135)   on 2010-01-04 09:41:47 (Show Source): You can put this solution on YOUR website! Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Surface-area/253466: The base of a hexagonal pyramid has a perimeter of 45 units and a slant height of 10 units. Find the lateral area. 1 solutions Answer 185785 by richwmiller(9135)   on 2010-01-04 09:41:02 (Show Source): You can put this solution on YOUR website! Reminder: You are limited to one problem per submission. No similar problems. No more than 4 submissions daily

Money_Word_Problems/253485: If you save two pennies on January 1, four pennies on January 2, six pennies on January 3, and continue this pattern for one year (not a leap year), what will be the value of your entire savings, in dollars, at the end of that one year? 1 solutions Answer 185784 by richwmiller(9135)   on 2010-01-04 09:37:13 (Show Source): You can put this solution on YOUR website! 2^365 in cents 7.5153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 x 10^109

Money_Word_Problems/253451: The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by A is the amount of the return. P is the principal amount initially deposited. r is the annual interest rate (expressed as a decimal). n is the number of compound periods in one year. t is the number of years. Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent. Suppose you deposit $4,000 for 8 years at a rate of 7%. a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place. Answer: Show work in this space. Use ^ to indicate the power or use the Equation Editor in MS Word. b) Calculate the return (A) if the bank compounds monthly (n = 12). Round your answer to the hundredth's place. Answer: Show work in this space c) If a bank compounds continuously, then the formula used is where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the hundredth's place. Answer: Show work in this space: Thank you 1 solutions Answer 185781 by richwmiller(9135)   on 2010-01-04 09:31:33 (Show Source): You can put this solution on YOUR website! You mentioned the variables but never gave the formula. "The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by"

Equations/249879: whats the answer to this expression 5xy-5x-3y+3 1 solutions Answer 185779 by richwmiller(9135)   on 2010-01-04 09:26:18 (Show Source): You can put this solution on YOUR website! Say "thank you very much." "Thank you", is always a good reply Do you have a question about the expression? There is no answer without a question.

Polynomials-and-rational-expressions/253462: find the rational roots of the equation 9x^4=12x^3+13x^2-12x+4=0 1 solutions Answer 185777 by richwmiller(9135)   on 2010-01-04 09:20:59 (Show Source): You can put this solution on YOUR website! Too many equal signs.

Equations/253453: How should I write this " a number minus 12 is 25" ? 1 solutions Answer 185775 by richwmiller(9135)   on 2010-01-04 09:19:51 (Show Source): You can put this solution on YOUR website! a number minus 12 is 25 x-12=25 You are limited to one problem per submission and 4 submissions per day. Also no similar questions submitted. "less than" means subtract and "more than" means add.

Geometric_formulas/253449: 1. The greatest side of a triangle subtends the greatest angle. 2.IF two sides of a triangle are unequal,the angle opposit to the smaller side must be acute. 1 solutions Answer 185771 by richwmiller(9135)   on 2010-01-04 09:13:05 (Show Source): You can put this solution on YOUR website! Do you have a question?