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jim_thompson5910 answered: 28583 problems
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Money_Word_Problems/737209: Julie borrows $60,000 from a bank that is charging eight percent interest, compounded annually. If she pays the loan back in eight years, approximately how much interest will she pay? a $39,840 b $39,994 c $42,120 d $51,056 1 solutions Answer 450219 by jim_thompson5910(28595)   on 2013-04-13 13:25:52 (Show Source): You can put this solution on YOUR website! A = P(1+r/n)^(n*t) A = 60000(1+0.08/1)^(1*8) A = 111,055.812616912 A = 111,055.81 She pays back $111,055.81 total. So she pays 111,055.81 - 60,000 = $51,055.81 in interest total. The closest answer choice is choice D since it looks like they rounded to the nearest dollar.

Linear-systems/737205: mv+Mv=(m+M)u solve m please help me solve for m 1 solutions Answer 450217 by jim_thompson5910(28595)   on 2013-04-13 13:07:13 (Show Source): You can put this solution on YOUR website! Final Answer:

Equations/737200: When getting into shape by exercising, the subject's maximum recommended number of heartbeats per minute (h) can be determined by subtracting the subject's age (a) from 220 and then taking 75% of that value. This relation is expressed by what formula? 1 solutions Answer 450215 by jim_thompson5910(28595)   on 2013-04-13 12:54:20 (Show Source): You can put this solution on YOUR website! the subject's maximum recommended number of heartbeats per minute (h) can be determined by subtracting the subject's age (a) from 220 and then taking 75% of that value translates to h = 0.75(220 - a) Remember that 0.75 = 75%

Mixture_Word_Problems/737199: please help me with this problem of writing a rational and/or polynomial equation. If Laura mixes 5mL acetic acid with 120mL water to make a solution that should be 5% acid, how does she know she needs to add more acetic acid? 1 solutions Answer 450214 by jim_thompson5910(28595)   on 2013-04-13 12:52:32 (Show Source): You can put this solution on YOUR website! She has 5+120 = 125 mL of solution total when she mixes the acid and water. 5/125 = 1/25 = 0.04 = 4% of this solution is pure acid BUT she wants 5% of the solution to be pure acid. So she needs more acetic acid to go from 4% acid to 5% acid.

Exponents/737189: For all nonzero r, t, and z values, 16r^3tz^5/-4rt^3z^2=? 1 solutions Answer 450212 by jim_thompson5910(28595)   on 2013-04-13 12:49:58 (Show Source): You can put this solution on YOUR website! 16/(-4) = -4 r^3/r = r^(3-1) = r^2 t/t^3 = t^(1-3) = t^(-2) = 1/(t^2) z^5/z^2 = z^(5-2) = z^3 ------------------------------------------------------- Answer:

Functions/737175: 2[f(6)] 1 solutions Answer 450209 by jim_thompson5910(28595)   on 2013-04-13 12:44:29 (Show Source): You can put this solution on YOUR website! You're missing the function. Please repost. Thanks.

test/737179: 5k-3(2-k)-2(k-5)<_-2 Idk how to write the less than or equal to so I wrote it like this <_ 1 solutions Answer 450208 by jim_thompson5910(28595)   on 2013-04-13 12:43:58 (Show Source): You can put this solution on YOUR website! Type <= to mean "less than or equal" Start with the given inequality. Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Equations/737181: if (e^x+e^-x) / 2 = 1 then find e^x Can you please me out? Thanks so much in advance:) 1 solutions Answer 450207 by jim_thompson5910(28595)   on 2013-04-13 12:41:44 (Show Source): You can put this solution on YOUR website! (e^x+e^-x) / 2 = 1 (e^x+1/e^x) / 2 = 1 ((e^x)^2+1)/(2e^x) = 1 Let z = e^x ((e^x)^2+1)/(2e^x) = 1 (z^2+1)/(2z) = 1 z^2+1 = 2z z^2-2z+1 = 0 (z-1)^2 = 0 z-1 = 0 z = 1 e^x = 1 Final Answer: e^x = 1

Linear-equations/737159: write equation in slope intercept 8x-2y=4 1 solutions Answer 450206 by jim_thompson5910(28595)   on 2013-04-13 12:39:37 (Show Source): You can put this solution on YOUR website! 8x-2y=4 -2y = -8x+4 y = (-8x+4)/(-2) y = (-8x)/(-2)+(4)/(-2) y = 4x - 2 Answer: y = 4x - 2

Linear-equations/737157: write each equation in slope intercept 4x-y=5 1 solutions Answer 450205 by jim_thompson5910(28595)   on 2013-04-13 12:37:02 (Show Source): You can put this solution on YOUR website! 4x-y=5 -y = 5 - 4x -y = -4x + 5 y = 4x - 5 Answer: y = 4x - 5

Exponents/737145: x+4=12+5 1 solutions Answer 450204 by jim_thompson5910(28595)   on 2013-04-13 12:36:06 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the right side. Subtract from both sides. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is

Linear-equations/737195: The slope - intercept form of a linear equation is: y = mx+b Which of the following statements about the slope - intercept form is true? A) m refers to the y-intercept and b refers to the slope in a linear equation. B) x refers to the x-intercept and b refers to the y-intercept in a linear equation. C) m refers to the slope and b refers to the y-intercept in a linear equation. D) mx refers to the slope and b refers to the y-intercept in a linear equation. E) x refers to the x-intercept and y refers to the y-intercept in a linear equation. 1 solutions Answer 450203 by jim_thompson5910(28595)   on 2013-04-13 12:35:22 (Show Source): You can put this solution on YOUR website! The only thing that's true is choice C

Sequences-and-series/737194: Evaluate the infinite geometric series. Round to the nearest hundredth if necessary. 50 + 10 + 2 + ... 1 solutions Answer 450202 by jim_thompson5910(28595)   on 2013-04-13 12:34:35 (Show Source): You can put this solution on YOUR website! 50 + 10 + 2 + ... = S S = a/(1-r) S = 50/(1-1/5) S = 50/(4/5) S = 50*(5/4) S = 250/4 S = 125/2 S = 62.5 50 + 10 + 2 + ... = S 50 + 10 + 2 + ... = 62.5

Linear_Equations_And_Systems_Word_Problems/737047: Your class is going on a field trip. Your teacher paid a total of $175 for 20 tickets. What is the unit rate in dollars per ticket? 1 solutions Answer 450142 by jim_thompson5910(28595)   on 2013-04-12 19:04:10 (Show Source): You can put this solution on YOUR website! 175/20 = 8.75 dollars per ticket

logarithm/737043: Please Help! Use properties of logarithms or a definition to simplify the expression. Log base 6 (1/6) and please explain answer step by step. Thanks! 1 solutions Answer 450138 by jim_thompson5910(28595)   on 2013-04-12 18:37:10 (Show Source): You can put this solution on YOUR website! We are using these 3 rules (in the same order) Rule 1) 1/x = x^(-1) Rule 2) log(x^y) = y*log(x) Rule 3) log base b (b) = 1 ... ex: , ------------------------------------------------------- Log base 6 (1/6) = Log base 6 (6^(-1)) ... use rule 1 above Log base 6 (1/6) = -1*Log base 6 (6) ... use rule 2 above Log base 6 (1/6) = -1*1 ... use rule 3 above Log base 6 (1/6) = -1

Linear_Algebra/737035: 4R+12+3R=3(4-R) ****Please work out and answer**** 1 solutions Answer 450136 by jim_thompson5910(28595)   on 2013-04-12 18:28:33 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Percentage-and-ratio-word-problems/737037: what is the sales of a $32 dollar shirt after a 15% discount 1 solutions Answer 450135 by jim_thompson5910(28595)   on 2013-04-12 18:27:46 (Show Source): You can put this solution on YOUR website! 32 - 15% of 32 = 32 - 0.15*32 32 - 15% of 32 = 32 - 4.80 32 - 15% of 32 = 27.20 dollars

Average/737042: If Brittany gets a 97 on her next math test, her average will be 89. However, if she gets 72, her average will be 89. How many tests has Brittany already taken? 1 solutions Answer 450134 by jim_thompson5910(28595)   on 2013-04-12 18:26:45 (Show Source): You can put this solution on YOUR website! Is there a typo? How can she get the same average of 89 when she gets two different scores (97 and 72)?

Rational-functions/737039: Given f(x)=-x^3+8x^2+15x-27. Find f(-3) 1 solutions Answer 450133 by jim_thompson5910(28595)   on 2013-04-12 18:24:00 (Show Source): You can put this solution on YOUR website! f(x)=-x^3+8x^2+15x-27 f(-3)=-(-3)^3+8(-3)^2+15(-3)-27 f(-3)=-(-27)+8(9)+15(-3)-27 f(-3)=27+72-45-27 f(-3)=27

Polynomials-and-rational-expressions/737017: We are having our FCAT on Monday. I have to study for my FCAT because my teacher hasn't been here all week. I have no confidence in passing this test especially on this subject. How do you solve (7x+8)(5x+2) in FOIL Method? 1 solutions Answer 450123 by jim_thompson5910(28595)   on 2013-04-12 17:01:50 (Show Source): You can put this solution on YOUR website! Start with the given expression. Now let's FOIL the expression. Remember, when you FOIL an expression, you follow this procedure: Multiply the First terms:. Multiply the Outer terms:. Multiply the Inner terms:. Multiply the Last terms:. --------------------------------------------------- So we have the terms: , , , Now add every term listed above to make a single expression. Now combine like terms. So FOILs to . In other words, . I hope your teacher gets better soon.

Graphs/736947: I have to sketch the graph of each line and I am lost. y= -2/3x+3 1 solutions Answer 450114 by jim_thompson5910(28595)   on 2013-04-12 16:05:42 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -2 and the run is 3. This means that to go from point to point, we can go down 2 and over 3 So starting at , go down 2 units and to the right 3 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Angles/736941: A triangle has angles that measure 94°, 17°, and 69°. What kind of triangle is it? 1 solutions Answer 450113 by jim_thompson5910(28595)   on 2013-04-12 16:04:04 (Show Source): You can put this solution on YOUR website! One angle exceeds 90 degrees (the 94 angle), so this makes the triangle an obtuse triangle

Inequalities/736959: what is the sloution to the inequality 4x-8 < -2.5 1 solutions Answer 450112 by jim_thompson5910(28595)   on 2013-04-12 15:59:56 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Multiply both sides by 10 to clear out the decimals. Distribute and multiply. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is Which in decimal form is

Money_Word_Problems/737012: Your job pays you $1,600 per month. All taxes combined reduce your pay by 25%. Your current total expenses are $1,200. You want to join a health club for $75 per month. Can you afford it? 1 solutions Answer 450111 by jim_thompson5910(28595)   on 2013-04-12 15:58:31 (Show Source): You can put this solution on YOUR website! 1600 - 25% of 1600 = 1600 - 0.25*1600 = 1200 So after you take 25% of 1600 away from 1600, you're left with 1200 So you are *really* paid $1,200 a month (instead of $1,600 a month) after you take out all taxes. Your expenses are $1,200, so you will have 1200 - 1200 = 0 dollars left over So you CANNOT afford the health club or any additional expenses. This is assuming you don't rely on a credit card or other forms of loans.

Exponential-and-logarithmic-functions/736934: You invest $1,300 in an account with an annual interest rate of 2.5%, compounded monthly. How much money is in the account after 5 years? Round your answer to the nearest whole number. 1 solutions Answer 450110 by jim_thompson5910(28595)   on 2013-04-12 15:55:46 (Show Source): You can put this solution on YOUR website! A = P(1+r/n)^(n*t) A = 1300(1+0.025/12)^(12*5) A = 1300(1+0.002083333)^(60) A = 1300(1.002083333)^(60) A = 1300(1.133001099) A = 1472.9014287 A = 1472.90 So there will be $1,472.90 in the account in 5 years.

logarithm/737009: Solve: Log x + log (x+6) = 3 1 solutions Answer 450109 by jim_thompson5910(28595)   on 2013-04-12 15:50:55 (Show Source): You can put this solution on YOUR website! log(x) + log(x+6) = 3 log[(x)*(x+6)] = 3 x(x+6) = 10^3 x(x+6) = 1000 x^2+6x = 1000 x^2+6x-1000 = 0 Use the quadratic formula to solve for x Plug in , , or or Exact Solutions: or Approximate Solutions: or

Quadratic_Equations/736966: How do I solve this quadratic equation by factoring? 2x^2+11x=6 1 solutions Answer 450108 by jim_thompson5910(28595)   on 2013-04-12 15:47:14 (Show Source): You can put this solution on YOUR website! 2x^2+11x=6 2x^2+11x-6=0 (x+6)(2x-1)=0 x+6=0 or 2x-1=0 x=-6 or 2x=1 x=-6 or x=1/2 So the two solutions are x=-6 or x=1/2

test/737005: 1 solutions Answer 450107 by jim_thompson5910(28595)   on 2013-04-12 15:45:06 (Show Source): You can put this solution on YOUR website! problem missing, please repost

test/737003: - w + 1 - w + 1 - w = - 1 + w - 1 + w - 1 + w - 1 1 solutions Answer 450106 by jim_thompson5910(28595)   on 2013-04-12 15:44:44 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Combine like terms on the right side. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

logarithm/736975: Y = log^5 (x-2) 1 solutions Answer 450105 by jim_thompson5910(28595)   on 2013-04-12 15:44:08 (Show Source): You can put this solution on YOUR website! If you want to graph , then you would get

Percentage-and-ratio-word-problems/736992: There are 50 students in a middle school chorus. The ratio of bous to girls in the chorus is 2:3. What is the ratio of girls to the total number of chorus members? 1 solutions Answer 450104 by jim_thompson5910(28595)   on 2013-04-12 15:42:41 (Show Source): You can put this solution on YOUR website! let b = # of boys, g = # of girls b+g = 50 ---> g = 50-b 2/3 = b/g 2/3 = b/(50-b) 2(50-b) = 3b 100 - 2b = 3b -2b = 3b-100 -2b-3b = -100 -5b = -100 b = (-100)/(-5) b = 20 g = 50 - b g = 50 - 20 g = 30 There are 30 girls and 50 members total So the ratio is 30:50 ---> 3:5