# Posts by Henry

Total # Posts: 14,135

math
Taxable amt. = 132,000 - 60,000 = \$72,000 Tax = 0.2 * 72000 = \$14,400. Actual Income = 132,000 - 14,400 = \$117,600.

Math
x - y = 6. X = y + 6 x^2 + y^2 = 116. (y+6)^2 + y^2 = 116 y^2 + 12y + 36 + y^2 = 116 2y^2 + 12y + 36 = 116 Divide by 2: y^2 + 6y + 18 = 58. y^2 + 6y - 40 = 0. (y-4)(y+10) = 0 y-4 = 0, Y = 4. y+10 = 0, Y = -10. :: Use the positive value of Y: Y = 4. x-y = 6 x - 4 = 6 X = 10.

Math
post.

Math
C + 0.1C = 121. 1.1C = 121 C = \$110.

math
P2 = P1*r*t/(1-(1+r)^-t). P1 = \$10.000 * 0.80 = \$8,000 = Loan amount. r = 0.054/12 = 0.0045/mo. t = 60 mo. P2 = 8000*0.0045*60/(1-1.0045^(-60)) = \$9,146.42 Monthly Payment = P2/t.

math
What does Ps mean?.

Math
P = Po + Po*r*t = \$1748. Po + Po*0.075*2.5 = 1748 Po + 0.1875Po = 1748Po Po = \$1472 = Initial amount.

Trigonometry
Vr = 160[80o] + 20[310o] = Resultant velocity. Vr = (160*Cos80+20*Cos310) + (160*sin80+20*sin310)i Vr = 40.64 + 142.25i = 147.7mph[74.1o] Heading = 74.1o

math 10
8 GB = 8,000 MB. 8,000MB/(3.5MB/song) = 2285 Songs that can be stored in memory.

Math
6*S = 102. S = 17 = Savings.

Physics
a. h = g*t^2. 10.0 = 9.8t^2, t = ?. b. Xo = 15 m/s. d = Xo * t.

Physics
F = M*a. a = F/M = 850/0.05kg = 17,000 m/s^2. V = Vo + a*t = 68 m/s. 0 + 17,000t = 68, t = 0.004 s.

Physics
Energy = 900 * 2.5/60 = 37.5 Watt-hours.

Physics
a = g = -9.8 m/s^2. b. a = g = -9.8 m/s^2. c. V = Vo + g*Tr = 0. 13 - 9.8Tr = 0 Tr = 1.33 s. = Rise time. h = ho + Vo*Tr + 0.5g*Tr^2. h = 30 + 13*1.33 - 4.9*1.33^2 = 38.6 m. V^2 = Vo^2 + 2g*h. V^2 = 13^2 - 19.6*38.6 = 925.6 V = 30.4 m/s. d. h = 0.5g*Tf^2 = 38.6. 4.9*Tf^2 = 38....

Physics
Note: A is negative and in the 4th Quadrant.

Physics
A = 28*Cos110 + 28*sin110 = -9.58 + 26.3i. B = 63*Cos(-30) + 63*sin(-30) = 54.6 - 31.5i. A+B = -9.58+20.3i + 54.6-31.6i = 45.0 - 11.3i. Cartesian = (x,y) = (45,-11.3). Polar: Tan A = Y/X, A = ?. R = 45/Cos A. Polar = (R,A degrees).

math
Sq. A = X in, each side. Sq. B = x-1 in, each side. x+x+x+x = 81. 4x = 81 X = 20.25 in. x-1 = 20.25 - 1 = 19.25 in.

Math
F = M*sin A = 6*sin60 = 5.2 kg.

Math
80 = 0.4N. N = ?.

Math
6% of b = 0.06 * b = 0.06b.

Math
62 1/2% = 62.5%. 62.5%/100% = 0.625. 0.625 ^ 80 = 50.

math
2/5%/100% = 0.40%/100% = 0.004

Math
4.5% = (4 1/2)% = (9/2)%. (9/2)%/100% = 9/2 * 1/100 = 9/200. Check: 9/200 * 100% - 900%/200 = 4.5%.

math
Bought x carrots. 2/5 * x = 8, X = 20 Carrots. 20 - 8 = 12 Carrots in plastic bag.

math
X slices = Whole pizza. 1/3 of a pizza = 12 Slices. 1/3 * x = 12. X = 36 Slices = A whole pizza. 1/2 * 36 = 18 Slices.

math
3/4 * 1600 = 1200 Dial phones. 1/3 * 1200 = 400 Replaced by touch-tones. 400 + 300 = 700 = Total touch-tone phones. 700/(1600+300) = 700/1900 = 7/19 = a.

I'm assuming that the ht. of bldg. is 80 FT. instead of 80m. V = Vo + g*Tr = 0. 64 + 32Tr = 0, Tr = 2 s. = Rise time or time to reach max height, H. H = -16*2^2 + 64*2 + 80 = 144 Ft. 0.5g*Tf^2 = 144. 16Tf^2 = 144, Tf = 3 s. = fall time. T = Tr + T = 2 + 3 = 5 s. = Time in ...

Physics
Correction: Vr = -75.71 - 59.37i = 96knots[38.1o] S. of W.

Physics
Vr = 100[225o] + 20[90o] + 10[240o]. Vr = -70.71-70.71i + 20i -5-8.66i, Vr = -75.71 - 79.37i = 110knots[46.35o] S. of W.

V = Vo + g*Tr = 0. 24.5 -9.8*Tr = 0, Tr = 2.5 s. = Rise time or time to reach max height(H). H = 29.4 + 24.5*2.5 - 4.9*2.5^2 = 60 m. Above gnd. H = 0.5g*Tf^2 = 60. 4.9Tf^2 = 60, Tf = 3.5 s. = Fall time. T = Tr + Tf = 2.5 + 3.5 = 6 s. = Time in flight.

Physics
Fr = F1 + F2 + F3 + F4. Fr = 20[45o] + 15[135o] + 5[[225o] + 10[315o] Fr = 14.14+14.14i + 10.61-10.61i -3.54-3.54i +7.07-7.07i, Fr = 28.28 - 7.08i = 29.16kg[-14.1o] = 29.16kg[14.1o] S. of E.

Physics
OOPS! Henry, not anonymous!

physics
Post.

physics
Vo = 80,000m/3600s = 22.22 m/s. V= Vo + a*t = 0. 22.22 + a*70 = 0, a = -0.317 m/s^2. V^2 = Vo^2 + 2a*d = 0. (22.22)^2 - 0.63779 4d = 0, d = 779 m.

Mathematics
59/200 are women.

Mathematics
X = Total population. (3/200)x + (59/200)x + 1080 = X. X = ?. Divide both sides by X and add the fractions.

electronics
1. FALSE: The impedance is max at resonance and min at frequencies above and below resonance. The impedance of a series resonant circuit is min at resonance and max at frequencies above and below resonance. 2. TRUE. 3. FALSE: The statement is true for the series resonant ...

Physics
M*g = 6 * 9.8 = 58.8 N. = Wt. of Mass. = Normal force(Fn). a. Fk = u*Fn = 0.20 * 58.8 = 11.8 N. - Force of kinetic friction. b. Fap-Fk = M*a. Fap = ?.

Physics
V^2 = Vo^2 + 2a*d. V = 137 m/s, Vo = 0, d = 0.66m, a = ?.

Maths
Worked X days. Absent 20-x days. 120x - 10(20-x) = 1880. 120x - 200 + 10x = 1880, 130x = 2080, X = 16 Days. 20-x = 20-16 = 4 Days absent.

Maths
X Degrees at 6 A.M. x - 2Degrees/h * 6h = 31. x - 12 = 31, X = 43 Degrees.

Biology
Codominance is a form of inheritance in which two different alleles for a gene are both expressed, and neither allele is dominant over the other. The alleles for type A blood and type B blood are codominant. If a man who is homozygous for type A blood and a woman who is ...

physics
Va = 60rev/min * 6.28rad/rev * 1min/60s =

math
A = pi*R^2.

math 106
The amount of loan can be any value as long as the loans are equal.

math 106
Loan A: P = Po(1+r)^n. Po = \$100. r = 0.12/12mo. = 0.01/mo. P = 100(1.01)^12 = \$\$112.68 Loan B: P = 100(1.125)^1 = \$112.50

physics
V = Vo + g*t. V = 0 + 9.8*2 = 19.6 m/s.

Math
(1/9+2/9)*360 = Amt. spent.

Math
Nadia has X walnuts. Manar has Y walnuts. Eq1: x + y = 140. Nadia has x-15 walnuts. Manar has y+15 walnuts. x-15 = y+15. Eq2: x - y = 30. Add Eq1 and Eq2: x + y = 140 x - y = 30 Sum: 2x = 170, X = 85. x + y = 140. 85 + y = 140, Y = 55. Manar has 55 walnuts.

physics
5A = 5,000mA. Ig = 1mA. = Current through the galvanometer. Ir = 4,999mA = Current through the resistor. R = (1mA/4,999mA) * 50 Ohms = 0.01 Ohms in parallel with the galvanometer.

Math
Smith walks X meters. John walks 3x meters. Wilson walks 6x meters. x + 3x + 6x = 4500 m. X = ?.

Math
\$X/45 = Cost per person. X/40 = X/45 + 10. X/40 - X/45 = 10 0.025x - 0.0222x = 10 X = \$3,600 = Cost of the bus.

Math
X girls in class. 2x-10 boys in class. x + (2x-10) = x + (x+5). X = ?.

Math
\$4900/7Days = \$700/day. Apprentice earns \$X/day. The barber earns \$(x+200)/day. x + (x+200) = 700. X = ?

Math
Malika has X books. Amira has 4(x-7) books. 4(x-7) = 28. X = 14.

Algebra
85<((81+95+x)/3)<90. 85<((176+x)/3)<90 Multiply by 3: 255<(176+x)<270 Subtract 176: 79<X<94. Third quiz between 79 and 94.

Physics
Density = 4kg/5Liters = 0.80 kg/Liter.

Electrical
R1 = 8 Ohms. R2 = 12 Ohms. R3 = ?. 20I = 70, I = 3.5A. Rt = 20V/3.5A = 5.71 Ohms. Rt = (R1*R2)/(R1+R2) + R3. Rt = (8*12)/(8+12) + R3 = 5.71. R3 = ?.

Math
50cards/min. + 40cards/min. = 90 cards/min. T = 1350cards/(90cards/min) = 15 min.

Physics
V1 = 1 + 5i = 5.1m/s[78.7o]. V2 = 4 + 3i = 5m/s[36.9o]. 78.7 - 36.9 = 41.8o between V1 and V2.

P = (Po*r*t)/(1-(1+r)^-t. P = 600 * 240 = 144,000 X = Down payment. Po = 50,000-x r = 0.24/12 = 0.02/mo. t = 20 * 12 = 240 mo. 144,000 = (50,000-x)*0.02*240)/(1-(1.02)^(-240)) X = 20,258.87 Po = 50,000-20,258.87 = 29,741.13 I = P-Po

hookle's law
k = 50N/(25-20)cm = 10N/cm. L = 20 + (1cm/10N * 100N) = 30 cm.

math

math

math
Project A: 0.6*500,000 = \$300,000 @ 8%. Project B: 0.4*500,000 = \$200,000 @ 13%. (x, y) = (300000,200000). I = 0.08*300,000 + 0.13*200,000 =

Algebra
P(2,-3), m = 6. Y = mx + b -3 = 6*2 + b, b = -15 = y-int. Eq: Y = 6x - 15.

Math
At 3:00am your parents ring the doorbell for a surprise breakfast.u have strawberry jam,honey and Bread and cheese wat do u open first

physics
Circumference = pi*D = 3.14*1.2m = 3.77 m. 5rev/2s. * 3.77m/rev = 9.42 m/s. = Linear speed.

algebra
Another Method: t1 = 7 hrs. t2 = 1/3 * 7 = 7/3 hrs. 1/T = 1/t1 + 1/t2. 1/T = 1/7 + 3/7 = 4/7, T = 7/4 = 1.75 hrs.

algebra
t1 = 7 hrs. t2 = 1/3 * 7 = 7/3 hrs. T = t1*t2/(t1+t2) = (7*7/3)/(7+7/3). T = (49/3)/(28/3) T = 49/3 * 3/28 = 49/28 = 7/4 = 1.75 hrs.

Maths
a^2 + b^2 = c^2. c = Length of wire. 3^2 + 5^2 = c^2.

physics
V(B-C) = 500 - 320i + 75 + 1015i V(B-C) = 500+75 - 320i+1015i V(B-C) = 575 + 695i. Components: 575km E., 695km N.

Math
Water(cups) = 5c/3t = 1.7t. Water(cups) = 1.7t. T is the # of tea bags required.

Personal Finance

Trigonometry
Tan60 = h1/d = h1/20. h1 = ?. Cos60 = d/h2 = 20/h2. h2 = ?. h = h1 + h2 = Ht. of tree.

Math
P2 = P1(1+r)^n = \$60,000. r = 0.08/365 = 0.00021918/day = Daily % rate expressed as a decimal. n = 365Comp/yr. 12yrs. = 4380 Compounding periods. P1(1.00021918)^4380 = 60,000. P1 = ?.

Physics
a. S = d/t = (25+25)/(10.01+10.22) = yds/s. b. S = d/t = 25/10.01 = yds/s.

math
15c + 12w = 13.20*100 = 1320. Eq1: 15c + 12w = 1320. Eq2: C + W = 100. Multiply both sides of Eq2 by (-15) and add the Eqs. Remember that C and W are in KGs.

math
N = 2bags * bBeans/bag = 2b. So N = 2b.

physics
h = 0.5g*Tf^2 = 703 m. 4.9Tf^2 = 703, Tf = Fall time = ?. Tr+Tf = Time in light. c. Range = X1*(Tr+Tf).

physics
V1= 120m/s[78o]. X1 = 120*Cos78 = 24.9 m/s. Y1 = 120*sin78 = 117.4 m/s. a. Y2^2 = Y1^2 + 2G*h. 0 = 117.4^2 - 19.6h, h = ?. b. V2 = V1 + g*Tr. 0 = 117.4 - 9.8Tr, Tr = 12 s. = Rise time.

Physics
a. Va = 6rev/4s * 6.28rad/rev = 9.42 rad/s. b. Circumference = pi*2r = 3.14*0.30m = 0.942 meters. V = 9.42rad/s. * 0.942m/6.28rad = m/s = Linear or Tangential velocity.

Science
3. B.700 N. (Your Mass does not change).

physics
V2 = V1 + a*t. V2 = -8 m/s, V1 = 30 m/s, t = 0.010 s, a = ?.

physics
a. I = (20*200)/(240) + 1500/240. I = 16.67A + 6.25A = 22.92A. b. Energy = ((10*0.20kW) + 1.50kW.)*5h = 17.5kWh.

math
a. Cost = \$93/mo. * 15mo. = \$1395. b. Carrying Charge = 1395-1250 = c. \$1250/(\$93/mo.) =

Algebra, Probability needed ASAP
See Related Questions: Thu, 5-7-15, 5:14 AM.

math
Cost = 45 + 0.21x = 66. X = ?.

speed
Tom's speed = X km/h. Jerry's speed = x-2 km/h. Tom: d = x * t. = 4x. Jerry: 4d/5 = (x-2)*t d = (1.25x - 2.5)t d = (1.25x - 2.5)4 d = 5x - 10. d = 4x = 5x - 10 4x = 5x - 10 X = 10 km/h. d = 10km/h * 4h = 40 km. = Length of the route.

Physics HELP!
c. M1*V1 + M2*V2 = M1*V3 + M2*V4. 2.1*10^4*2 + M2*0 = 2.1*10^4*V3+2.1*10^4*V4, 4.2*10^4 = 2.1*10^4*V3 + 2.1*10^4*V4, Divide both sides by 2.1*10^4: Eq1: V3 + V4 = 2. V3 = (V1(M1-M2) + 2M2*V2)/(M1+M2). V3 = (2(0) + 2M2*0)/(4.2*10^4) = 0 = Velocity of M1 after the collision. In ...

Physics HELP!
Given: M1 = 2.1*10^4kg, V1 = 2 m/s. M2 = 2.1*10^4kg, V2 = 0. a. M1*V1 + M2*V2 = M1*V + M2*V. 2.1*10^4*2 + M2*0 = 4.2*10^4*V, 4.2*10^4 = 4.2*10^4*V, V = 1 m/s each. b. Before the collision: KE = 0.5M1*V1^2 + 0.5M2*V2^2. KE = 0.5*2.1*10^4*2^2 + 0.5*2.1*10^4*0 = 4.2*10^4 Joules. ...

Physics
Fo = M*g = 12 * 9.8 = 117.6 N. = Force of the object. Fp = 117.6*sln30 = 58.8 N. = Force parallel to the incline. Fn = 117.6*Cos30 = 101.8 N. = Normal force. Fs = u*Fn = 0.65 * 101.8 = 66.2 N. - Force of static friction.

Physics
a. t = d/V = 11*10^12m/(3*10^9m/s) = 3667 s. = 1.02 h. b. Wavelength = V/f = 3*10^8m/s/(8*10^9c/s) = 0.0375 m.

science
Disp. = 30i + 20 + 30*sqrt2[225o] Diep. = 30i + 20 + -30-30i = -10m = 10m West. For a different approach, see Related Questions: Sun, 7-29-12, 11:05 AM.

physical science
Load force = 600 N. Effort force = 100 N.

Geometry
A cone has diameter 12 and height 9. A cylinder is placed inside the cone so the base of the cylinder is concentric with the base of the cone and the upper base of the cylinder is contained in the surface of the cone. If the volume of the cone is nine times the volume of the ...

physics
See previous post: Mon., 5-8-17, 2:43 PM.

physics
a. Wavelength = 2 * 4m = 8 Meters. b. Wavelength = V/F1 = 8m. 340/F = 8, F1 = ?. F1 = Frequency of 1st harmonic. c. F2 = 2 * F1.

physics
Vs = 332 + 0.6*(-10) = 326 m/s = Velocity of sound. d = Vs * t/2 = 326 * 5/2 = 815 m.

physics
Vt = 180km/h = 180,000m/3600s = 50 m/s. = Velocity of the train. Vs = 332 + 0.6T = 332 + 0.6*19 = 343 m/s = Velocity of sound. Fr = ((Vs-Vr)/(Vs+Vt)) * Fh. Fr = ((343-0)/(343+50)) * 3500 = Fr = Frequency heard by the receiver(listener).