Friday
October 24, 2014

Posts by Reiny


Total # Posts: 27,542

maths
3x = 6y looks trivial, just divide by 6 y = (3/6)x + 0 y = (1/2)x + 0 for equations that contain all 3 terms, there is a two-step process 1. move all terms except the y term to the right side of the equal sign ----> 2y = 6x - 2 2. divide each term by the coefficient of the ...
April 19, 2014

math
a = 3 , d = 6 term(n) = a + (n-1)d 123 = 3 + (n-1)(6) 120 = 6n - 6 126 = 6n n = 126/6 = 21 there are 21 terms
April 19, 2014

naths
midpoint is (4,5) y - 5 = 2(x-4) arrange it any way you have to
April 19, 2014

Math
log2+ 3log1 = log 2 + 3(0) = log2 you SHOULD know that log 1 = 0
April 19, 2014

maths
from the 2nd: y = 5-x plug into the 1st: 2(5-x) - 5x = 3 I am sure you can finish that
April 19, 2014

geometry
ratio of corresponding sides = 7 : 5 since perimeter is a linear measurement, the ratio of perimeter is also 7 : 5 ratio of volumes = 6^3 : 5^3 = 343 : 125
April 19, 2014

Math
p% = p/100 so (p/100) ( ? ) =12 since we only want the 12 to remain on the left side my ( ? ) must be 100(12)/p or 1200/p check: (p/100) * (1200/p) = 12
April 19, 2014

Math
A - Give yourself an example and see which way is correct e.g. start with 5/8 now add 1 to both top and botto ---> 6/9 Is the value the same ???? B. Again, test with an example C. start with 5 , 5^2 = 25 mmmhh? how about 1/3 , what is (1/3)^2 or 1/9 compared with 1/3 Hint: ...
April 19, 2014

geometry
You are obviously looking at some circle diagram that I can't see. In BE , which is the centre, B or E ? Where does DC come from? Where does BD come from ? All I know so far is that AC is a chord.
April 19, 2014

calculus help
ignore the very last "the acceleration is 9.33" pressed "post answer" too soon so the acceleration is a = 13.59 ft/s^2 and v = 13.59t + 32.2667 a = 13.59 ft/s^2
April 19, 2014

calculus help
If the acceleration is a then v = at + c , where c is a constant: when t=0 , v = 22 mi/h = 32.2666.. ft/s 32.266.. = a(0) + c c = 32.2666.. when t = 3s , v = 50 mi/h = 73.333.. ft/s 73.333.. = a(3) + 32.26666... 3a = 41.06666.. a = 13.58888.. the acceleration is 13.89 ft/s^2 ...
April 19, 2014

elem algebra
let speed of boat in still water be x mph 17/(x-10) + 17/(x+10) = 10 time (x-10)(x+10) 17(x+10) + 17(x-10) = 10(x^2 - 100) 34x = 10x^2-1000 10x^2 -34x - 1000 = 0 x = 11.84 or some negative speed x = 11.84
April 19, 2014

maths
number of lunchers ---- x number of non-lunchers --- 30-x 5x + 3(30-x) = 110 5x + 90 - 3x = 110 2x = 20 x = 10 10 took their own lunch, 20 bought their lunch check: 10(5) + 20(3) = 110
April 19, 2014

Math
Steve gave a good example to Taylor here for the same question: http://www.jiskha.com/display.cgi?id=1360645422
April 19, 2014

math
Your mean is correct to get a mean of 72, let the extra score be x and he now has 10 scores to average (633 + x)/10 = 72 633 + x = 720 x = 720-633 = 87 he needs an 87 or, think of it this way. to have an average of 72 on 10 tests, he needs a total score of 720 so far he has ...
April 19, 2014

maths
The question makes no sense to me. Are you saying that the angle has the same numerical value as the side BC ? Interesting mix of linear measurement and angle measurement. Are you using degrees or radians ? so you could use any 0 < x < 180 e.g. if x = 20 then angle ABC...
April 19, 2014

Calculus Help Please Urgent!!!
I stand by mine and Damon's answer for a minimum area. I even ran a simple 1980's style "BASIC" program to show it 10 a = 5000 20 for x = 0 to 14 step 1.000000E-05 30 y = (14-4*x)/3 40 na = x*x+sqr(3)/4*y*y 50 if na < a then a = na : side = x 60 next x 70 ...
April 18, 2014

Calculus Help Please Urgent!!!
I also got 6.09 (actually 6.0895..) I defined the side of the triangle slightly different from Damon to avoid as many fractions as I could. let each side of the square be x m let each side of the equilateral triangle be 2y m that way I can say that the height of the triangle ...
April 18, 2014

Algebra
Sandra, the placing of brackets is crucial here The way you placed them makes them insignificant, it is the same thing as 3/2a + 5/2a According to the rules of operations, this is the same as (3/2)a + (5/2)a = (8/2)a = 4a so you must have meant: 3/(2a) + 5/(2a) , the way both ...
April 18, 2014

Math
multiply each term by z z^2 + 1 = 2z z^2 - 2z + 1 = 0 (z-1)^2 = 0 z-1 = 0 z = 1 you had that, good job
April 18, 2014

math
Make a sketch of your triangle in quadrant II to see that x = -3, r = 4 and from Pythagoras that y = √7 in II so sinØ = √7/4 sin 2Ø = 2sinØcosØ = 2((√7/4)(-3/4) = -3√7/8
April 18, 2014

MATH
Each side of the base will be (24-2x) v(x) = x(24-x)^2 Wolfram's magic done here: http://www.wolframalpha.com/input/?i=plot+y+%3D+x%2824-x%29%5E2
April 18, 2014

calculus
your equation came out looking rather jibberish on my computer, but I see it contans x's and y's I can give you the general method of doing this question .... Find the derivative with respect to t, then your result should contain dx/dt and dy/dt , as well as x and y ...
April 18, 2014

Math
from the 2nd: x = 5y+7 plut into the first: x + 2y = -7 5y+7 + 2y = -7 7y = -14 y = -2 back in x = 5y+7 = 5(-2)+7 = -3 x = -3 , y = -2
April 17, 2014

Math
I understand bi-monthly to mean every other month, or 6 times a year. The main problem here is that the payment period does not coincide with the interest period, so my normal formula does not work so we will convert the 6% compounded bi-monthly to one of i compounded semi-...
April 17, 2014

precal
|y-8.0|<=1.5 y-8 ≤ 1.5 and -y+8 ≤ 1.5 y ≤ 9.5 and -y ≤ -6.5 y ≤ 9.5 and y ≥ 6.5 which can be written as 6.5 ≤ y ≤ 9.5 (or in words, y is between 6.5 and 9.5 inclusive
April 17, 2014

Math
each individual question has a prob of 1/2 of being correct so you want (1/2)(1/2) .... (1/2) --- (8 times) = (1/2)^8 = 1/256
April 17, 2014

Math
red from 1st ---> 8/18 = 4/9 red from 2nd ---> 10/13 prob(2res) = (4/9)(10/13) = 40/117
April 17, 2014

Math
Are we to assume that the other 9 customers did receive a star, thus are winners? If so, then the prob of winning = 9/156 = 3/52
April 17, 2014

Math
what is 10( 1.015^540 - 1)/.015 ? (don't be surprised if you get over 2 Million dollars)
April 17, 2014

Algebra 1
what you need is the vertex. for any parabola of the form y = ax^2 + bx + c the x of the vertex is -b/(2a) once you have the x of the vertex, plug into the original to get y y will be your maximum, and it happens at the x value. (make sure you get a max height of 156.25 ft )
April 17, 2014

Algebra 2
e^3x>e^x-1 you probably meant: e^(3x) > e^(x-1), (huge difference from what you typed) ln both sides ln (e^(3x)) > ln e^(x-1) 3x > x-1 2x > -1 x > -1/2 PROOF: http://www.wolframalpha.com/input/?i=plot+y+%3D+e%5E%283x%29+%2C+y+%3D+e%5E%28x-1%29+from+-1+to+0 -...
April 17, 2014

Math (Probability)
to make a sum of 5 , the two dice would be : 1-4 , 2-3, 3-2, or 4-1 so 4 ways prob (sum of 5) = 4/36 = 1/9
April 17, 2014

Math
If what you want is the effective annual rate, all we need is the 6% per annum compounded monthly let the annual rate be i then 1+i = (1 + .06/12)^12 1+i = 1.005^12 = 1.0616778.. i = .0616778 the effective annual rate correct to 3 decimals is 6.168 % check: amount of 12300 at ...
April 17, 2014

Algebra
your LCD is 6x , so multiply each term by that 20 + 8x = 3(7+x) 20+8x = 21+3x 5x = 1 x = 1/5
April 17, 2014

Math
let the tens digit be x, let the unit digit be y the number is 10x+y (10x+y)/(x+y) = 2 + 2/(x+y) times (x+y) 10x+y = 2x+2y + 2 8x - y = 2 ----> y = 8x-2 (10x+y)(x+y) = 112 10x^2 + 11xy + y^2 = 112 sub in y = 8x-2 10x^2 + 11(8x-2) + (8x-2)^2 = 112 10x^2 + 88x - 22 + 64x^2 - ...
April 17, 2014

Algebra
anticipated cost/doz --- x anticipated number of dozen bought = 210/x actual cost/doz = x+3 number of dozen he bought = 210/(x+3) 210/x - 210/(x+3) = 1/2 multiply each term by 2x(x+3) 420(x+3) - 420x = x^2 + 3x x^2 + 3x - 1260 = 0 x = appr 34.03 or some negative value 210/34...
April 17, 2014

Math
A terminal position of ((-15/13),(12/13)) puts you in quadrant II and using similar triangles we could have the same angle for a terminal position at (-5,4) so r = √(25+16) = √41 x = -5, y = +4 , r = √41 sin è = 4/√41 ----> csc è = &#...
April 17, 2014

math
prob(Ruben winning) = 16/24 = 2/3 prob(Ruben NOT winning) = 1/3 so prob(Manuel winngin) = 1/3 prob(Man not winning) = 2/3 odds in favour of Manuel winning = (1/3) : (2/3) = 1 : 2
April 17, 2014

math homework
Just add them up.
April 17, 2014

Algebra
What you meant was ... For what value of b is the expression undefined? when b = -4, the denominator is zero, and you would be dividing by zero. Division by zero is undefined, so b ≠ -4
April 17, 2014

statistics
what is .8^3 = ?
April 17, 2014

Algebra
I will assume you meant: 1/(2x) + 1/x = -12 times 2x 1 + 2 = -24x x = 3/-24 = -1/8 if you meant it the way it was typed: 1/2 x + 1/x = -12 times 2x x^2 + 2 = -24x x^2 + 24x + 2 = 0 x = (-24 ± √568)/2 = -12 ± √142
April 16, 2014

Calculus
let be base be x ft by x ft let the height be y ft (x^2)(y) = 3 y = 3/x^2 Cost = 3(x^2) + 2(4xy) = 3x^2 + 8x(3/x^2) = 3x^2 + 24/x d(cost)/dx = 6x - 24/x^2 = 0 for a min of cost 6x = 24/x^2 x^3 = 4 x = cuberoot(4) = appr 1.6 ft the base should be appr 1.6 ft by 1.6 ft (the ...
April 16, 2014

Math
Forgot to mention that we could also have placed out third point on the left side of the y-axis, e.g. (-4,8) would work
April 16, 2014

Math
let's consider (0,1) and (0,6) to be the base, the the base is 5 units. let the height be h giving us a nice isosceles triangle (1/2)(5)h = 10 5h = 20 h = 4 so a possible third point is (4, 3.5) As a matter of fact, we could now take any point along the vertical line x = 4...
April 16, 2014

Math emergency I have 10 minutes to submit it.
did you not notice that the derivative of the denominator is sitting in the numerator ? and if y = ln(u) then dy/du = u'/u, exactly our pattern integral of e^x/(7+e^x) from 0 to 2 = [ ln (7 + e^x) ] from 0 to 2 = ln(7 + e^2) - ln(7 + e^0) = ln (7+e^2) - ln(7+1) = ln ( (7+e...
April 16, 2014

Algebra
3/(4x-36)- 5/(2x-4) - 2x/(x^2-11x+18) = 3/(4(x-9) ) - 5(2(x-2)) - 2x/( (x-9)(x-2)) so the LCD = 4(x-9)(x-2) = ( 3(x-2) - 5(2)(x-9) - 2x(4) )/(4(x-9)(x-2)) = (3x-6 - 10x + 90 - 8x)/(4(x-9)(x-2)) = (84 - 15x)/(4(x-9)(x-2))
April 16, 2014

Math
The standard 3by3 magic square is 8 1 6 3 5 7 4 9 2 --> notice ever row, column and diagonal adds up to 15 for a total of 45. Any 9 numbers in an arithmetic sequence can be arranged in the above order and you would have a magic square with the properties you want. change ...
April 16, 2014

Algebra 2
term1= 3(1) - 3 = 0 term2 = 3(2) - 3 = 3 term3( = 3(3) - 3 = 6 .... looks like an arithmetic sequence , with a=0 and d = 3 sum(1) = (10/2)(2(0) + 9(3)) = 5(27) = 135
April 16, 2014

@ Sandra - Algebra
Looks like Connexus is new to this site, looks like he just added his question to yours. about yours ..... (x^2 – 1) / (x^2 – x – 2) – (x-1) / (x-2) = (x+1)(x-1)/( (x-2)(x+1) - (x-1)/(x-2) = (x-1)/(x-2) - (x-1)/(x-2) = 0 , x ≠ -1
April 16, 2014

Rectangular coordinates to polar coordinates
remember that while rectangular coordinates define one and only point, the position of a point using polar coordinates is not unique. In general any point (r, Ø) can also be represented by (-r, π+Ø) e.g. (using degrees) look at the point defined by (6, 150&...
April 16, 2014

mathematics
Did you notice that 1.4 = 7/5 ? log5 1.4 = log5 (7/5) = log5 7 - log5 5 = 1.209 - 1 = .209 A property of logs that comes in handy here is loga b = 1/logb a b) log7 75 = log7 (3*5^2) =log7 3 + 2log7 5 = (log5 3) / (log5 7) + 2/log5 7) = .683/1.209 + 2/1.209 = 2.683/1.209 = 2683...
April 16, 2014

math
log4(2x+4) - 3 =log4 3 log4(2x+4) - 3log44 = log4 3 log4(2x+4) - log4 4^3 = log43 log4[(2x+4)/64] = log43 (2x+4)/64 = 3 2x+4 = 192 2x=188 x = 94
April 16, 2014

calculus help please
let each side of the square be x m let each side of the equilateral triangle be 2x (that way, the height is √3y, from the ratio of the 30-60-90° triangle) a) for a max area, you are right, all should be used for the square b) 4x + 6y = 14 2x + 3y = 7 x = (7-3y)/4 OR ...
April 15, 2014

Algebra
For what value of b would you be dividing by zero ?
April 15, 2014

MAth
cos 31° = PQ/20
April 15, 2014

Math
the way you typed it, the entire bracket is divided by 2. 5(2x - 10)/2 + 14 = 19 5(x - 5) + 14 = 19 5x - 25 = 19-14 5x = 5 + 25 5x = 30 x = 6
April 15, 2014

Trig
ARggghhhh!!!!
April 15, 2014

Trig
we need cos 225° and sin225° 225 = 180+45 , it is in quadrant III and has the same numerical trig values as 45°, but in III both the sine and cosine are negative sin 225 = - sin 45° = -1/√2 cos 225 = - cos 45° = -1/√2 so 7(cos255degrees + ...
April 15, 2014

MATH
sin 10.5° = PR/120 PR = 120 sin 10.5° = ....
April 15, 2014

Math
P(x) = 1.3x-.01x^2-30 = -.01x^2 + 1.3x - 30 in more standard notation you will need the vertex. The x of the vertex is -b/(2a) = -1.3/(-.02) = 65 then P(65) = -.01(65)^2 + 1.3(65) - 30 = 12.25 when x = 65
April 15, 2014

geometry
surface area of box = 2(2.5)(7) + 2(2.5)(12) + 2(7)(12) = 263 inches^2 surface area of cylinder = 2πr^2 +2πrh = 2π(3^2) + 2π(3)(7.5) = 18π + 45π = 63π or appr 197.9 inches^2 so what do you think?
April 15, 2014

Math
I recommend getting rid of brackets first to get nice straightforward terms, then simplify, and then "move" terms from side to side. -5 - x = 2x - 4x - 6 -5 - x = -2x - 6 2x - x = -6 + 5 x = -1 (your -x on the right side should have been +x )
April 15, 2014

mathematics for management
I will assume they are the same x recall that loga b = log b/log a so logxy = logy/logx and logyx = logx/logy so your equation can be written as: logy/logx + logx/logy = 5/2 let logx/logy = a then we have 1/a + a = 5/2 times 2a 2 + 2a^2 = 5a 2a^2 - 5a + 2 = 0 (a - 2)(2a - 1...
April 15, 2014

mathematics for management
I saw this one pass by me before. Are you distinguishing between "x" and "X"? If so, you have 4 variables with only 2 equations.
April 15, 2014

math
first bounce --- 3 ft 2nd bounce = 2(1/4)(3) = 6(1/4) 3rd bounce = 2(1/4)(3)(1/4) = (6)(1/4)^2 4th bounce = ... = (6)(1/4)^3 .... so we have 3 + 6(1/4) + 6(1/4)^2 + 6(1/4)^3 + ... to infinity = 3 + 6(1/4) (1 + 1/4 + (1/4)^2 + ...) from the 2nd term on, we have a geometric ...
April 15, 2014

Math
short leg --- x longer leg --- 2x-1 x^2 + (2x-1)^2 = 17^2 x^2 + 4x^2 - 4x + 1 = 289 5x^2 - 4x - 288 = 0 (x-8)(5x + 36) = 0 x = 8 or x is an inadmissable negative number short leg = 8 ft long leg = 15 ft area = (1/2)(8)(15) = 60 ft^2
April 15, 2014

Algebra 1 Explanation (Anyone, please!)
If you know very little about the topic, a good way would be to simply make a table of values for x and y pick reasonable small values for x and evaluate to get the y e.g. x y 0 -3 1 -4 2 -3 ------> 2^2 - 2(2) - 3 = 4-4-3 = -3 3 0 4 5 ----> 4^2-2(4)-3 = 16-8-3 = 5 5 12 -...
April 15, 2014

Algebra
first rate ---- x mph return rate --- x+11 sum of times = 22.5 550/x + 550/(x+11) = 22.5 times x(x+11) 550x + 6050 + 550x = 22.5x(x+11) 1100x + 6050 = 22.5x^2 + 247.5x 22.5x^2 - 852.5x - 6050 = 0 using the formula x = 44 or a negative he went at 44 mph going there, and 55 mph ...
April 15, 2014

statistics
same webpage ... click on "between" and enter -3 and 3 to get .9973 choose you matching answer.
April 15, 2014

statistics
Use either your tables available to your or use http://davidmlane.com/hyperstat/z_table.html to get .9772 or .98 from your choices
April 15, 2014

MATHS - AREA
2L + 2W = perimeter 2(80) + 2w = 410 2W = 410 - 160 2W = 250 W = 125 area = LW = 80(125) = 10,000 m^2
April 15, 2014

Stats
RANDOM can be arranged in 6! or 720 ways. prob of getting it in that form = 1/720
April 15, 2014

Math
plug your data into this ... http://davidmlane.com/hyperstat/z_table.html click on "above" and enter 6 to get .3694 (that's very high SD )
April 15, 2014

mathematics for management
logv[ 2x/(x+2b) [ = 1 2x/(x+2b) = b^1 2x =bx + 2b^2 2x - bx = 2b^2 x(2 - b) = 2b^2 x = 2b^2/(2 - b)
April 15, 2014

math
3 important rules of logs 1. log (AB) = log A + log B 2. log(A/B) = log A - log B 3. log A^n = nlogA so 2log15 + log(5-x) - log 4x = 2 log 15^2 + log(5-x) - log 4x = 2 log (225(5-x)/(4x) ) = 2 225(5-x)/(4x) = 10^2 = 100 400x = 1125 - 225x 625x = 1125 x = 1125/625 = 9/5 or 1.8
April 15, 2014

college Algebra
let each of the two end fences be x ft long let the side parallel to the river be y ft long so we have: cost = 12y + 8(2x) = 12y + 16x but 12y + 16x = 3600 3y + 4x = 90 y = (90-4x)/3 area = xy = x(90-4x)/3 = 30x - (4/3)x^2 d(area)/dx = 30 - (8/3)x = 0 for a max of area (8/3)x...
April 15, 2014

Precalculus
1. a) and b) are correct c) the normal is perpendicular to the tangent So if the slope of the tangent at (3,9) is 6 then the slope of the normal is -1/6 y = (-1/6)x + b, plug in the point (3,9) 9 = (-1/6)(3) + b b = 19/2 y = (-1/6)x + 19/2 or y = (-1/6)x + 9.5 2. a) good! g) ...
April 14, 2014

Math
did this yesterday http://www.jiskha.com/display.cgi?id=1397441682
April 14, 2014

Math
profit = 6n - 2n - 400 - 100 = 4n + 600 , where n is the number of people 4n - 500 = 400 4n = 900 n = 225 need 225 people to make $400
April 14, 2014

Math
Did this for Lynda back in December http://www.jiskha.com/display.cgi?id=1386034705
April 14, 2014

Trigonometric Function
6 rotations take 1 minutes 1 rotation takes 1/6 minutes 2π/k = 1/6 k = 12π let's start using only amplitude and frequency to get height = 10 sin ( 12πt) We want to move the curve up 12 units height = 10 sin (12πt) + 12 so now we have to have a ...
April 14, 2014

Math
This little YouTube fits your problem quite nicely http://www.youtube.com/watch?v=62Lj-g5owgo
April 14, 2014

statistics
z-score for chemistry = (82-75)/6.25 = 1.12 z-score for physics = (63-59)/3.57 = 1.12044 I would consider the difference insignificant, so the two scores would be equivalent.
April 14, 2014

math
Jerry-height = 50 + (1/24)m Adam-height = 47 + (1/8)m they have the same height when ... 50 + m/24 = 47 + m/8 3 = m/8 - m/24 m/12 = 3 m = 36 or, from 50 + m/24 = 47 + m/8 multiply each term by 24 to get rid of fractions 1200 + m = 1128 = 3m 72 = 2m m = 36
April 14, 2014

Math
let the speed of the river current be x mph speed going upstream = 9 -x mph speed going downstream = 9 + x mph 10/(9-x) = 20/(9+x) 90 + 10x = 180 - 20x 30x = 90 x = 3 the speed of the river is 3 mph
April 14, 2014

math
The side parallel to the highway be x ft let each of the other two sides by y 2x + y = 640 y = 640 - 2x area = xy = x(640-2x) = -2x^2 + 640x I assume you know how to find the vertex of this downwards parabola, and that vertex is (160 , 51200) if x = 160 y = 640 - 2(160) = 320 ...
April 14, 2014

math
z is defined in two ways ? what's with the 1 2 ?
April 14, 2014

Math help asap
I interpreted your question this way: e^(x/2.9099) =ln (7.8x10^10) take ln of both sides , so we taking ln (ln(...)) on the right side x/2.9099 = ln (ln (7.8 x 10^10) ) x/2.9099 = 3.22207 x = 9.3759...
April 14, 2014

HELP! 5th grade math
There is more than one way to do this What Alison gave you is one of those. I would use the two containers measuring only Litres to hold the whole numbers e.g. 4 L + 4 L that leaves .53 L or 530 ml now you can split the 530 into any two parts using the two containers that ...
April 13, 2014

Calculus Help Please Urgent!!!
lim -> 0 (cot(x)-(1/x)) , x---> 0 = sec^2 x + 1/x^2 by L'Hospital's Rule but that is just as bad try experimentally ... using a Calculator let x = .0001 I get -.0000333 let x = .000001 my calculator says 0 http://www.wolframalpha.com/input/?i=limit+cot%28x%29+-+1...
April 13, 2014

Math
did you notice that the derivative of the denominator is 9 e^(9x) which just happens to be sitting in the numerator as a multiple thereof. Which is the ln derivative pattern. So without any great fanfare..... ∫(e^(9x))/(2 + e^(9x)) dx = (1/9) ln (2 + e^(9x) + c
April 13, 2014

Math
How about giving this one a try ?
April 13, 2014

math
Are you saying f(x) = 17/(x^2 + 4x - 12) ? (I will assume that) = 17/((x+6)(x-2) ) remember we can't divide by zero, which happens if x = 2 or x = -6 We can use any other value of x so domain: = { x ∈ R | x ≠ -6,2 }
April 13, 2014

oops - Math
didn't see the "monthly" part rate = .05/12 = .0041666... amount = 125000(1.00416666...)^6 = $128,157.73
April 13, 2014

Math
125,000 invested for 6 months = 125000(1.025 = $128,125 So what do you think?
April 13, 2014

Math
Wilder: amount = 85000(1.05)^2 = $93,712.50 after 1st year Cheapskate: amount = 85000(1.0081666..)^12 = $93,714.53 after 1st year b) you try it, (you only have to change the exponents)
April 13, 2014

Math
Tom: Paym(1.08)^3 = 15000 Paym = 15000/1.08^3 = $11,907.48 Lana: monthly rate = .07875/12 = .0065625 Paym(1.0065625)^36 = 15000 Paym = 15000/1.0065625^36 = $11,852.89 etc
April 13, 2014

Math
a) ridiculous question ! , makes no sense the "arithmetic" would be 8200(1.0988) = .... b) weekly rate = .0988/52 = .0019 number of weeks in 18 years = 936 amount = 8200(1.0019)^936 = $48,465.24
April 13, 2014

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