Tuesday
September 2, 2014

Posts by Henry


Total # Posts: 8,972

Physics
Circumference=pi * 2r = 3.14 * 3=9.42 m. d = 0.5a*t^2 = 9.42 0.5*2.3*t^2 = 9.42 1.15t^2 = 9.42 t^2 = 8.19 t = 2.86 s.
August 6, 2014

math
3. Discount=((10.80-9.18)/10.80)*100%=15%. 4. Tax = (3.20/100)*Va = $1952 Solve for Va(assessed value). 7. Loan Amount = 7250-3000 = $4250 Cost = 7250 + 4250*(0.125/12)*9 = 8. Same procedure as #3. 9. Rate = ((4250-3910)/4250)*100% =
August 6, 2014

algebra
post it.
August 4, 2014

Physics
The horizontal component does not change
August 3, 2014

Math
h = 164t - 16t^2 = 400 Ft. -16t^2 + 164t = 400 -16t^2 + 164 - 400 = 0 Use Quadratic Formula and get: t = 4, and 6.25 seconds. Answer = 4 s. The rocket is falling when t = 6.25 s.
August 2, 2014

physics
10^-7J = 1 erg Multiply both sides by 10^7: 10^0J = 10^7 erg 1 J. = 10^7 erg.
August 1, 2014

science
Fr = 20N[270o] + 40N[45o] + 10[0o] = -20i + 40*cs45) + i40*sin45) + 10 = -20i + 28.28 + 28.28i + 10=38.28 + 8.28i Fr^2 = 38.28^2 + 8.28^2 = 1533.9 Fr = 39 N.
July 31, 2014

physics
a = (V-Vo)/t = (21.5-12.7)/3.45 =
July 31, 2014

PHYSICS
V = 300rev/min * 6.28rad/rev * 1min/60s = 31.4 rad/s. Circumference = pi*2r = 3.14 * 10=31.4 m. V = 300rev/min * 31.4m/rev * 1min/60s = 157 m/s. = Linear speed.
July 30, 2014

physics
F = m*a a = F/m = 3.0*10^4/0.06 = 5*10^5 m/s^2. a = (V-Vo)/t = 5*10^5 m/s^2 (75-0)/t = 5*10^5 5*10^5t = 75 t = 1.5*10^-4 s.
July 30, 2014

physics
m*g = 50kg * 9.8N./kg = 490 N. = Wt. of the box. Fp = 490*sin30 = 245 N. = Force parallel to the incine. Fn = 490*cos30 = 424.4 N. = Force perpendicular to the incline. Fk = u*Fn = 0.1 * 424.4 = 42.44 N. = Force of kinetic friction. At bottom of incline: KE + PE = mg*h - Fk*L ...
July 30, 2014

Physics
h = 32 m. A = 24.25o B = 18.2o Tan24.25 = h/X1 = 32/X1 X1*Tan24.25 = 32 X1 = 32/Tan24.25 = 71 m.=Hor. distance between boat A and the cliff. Tan18.2 = h/(X1+X2) = 32/(71+X2) (71+X2)*Tan18.2 = 32 71+X2 = 32/Tan18.2 = 97.33 X2 = 97.33-71 = 26.3 m=Distance between boat A and B.
July 30, 2014

Physics
m*g = 68kg * 9.8N./kg = 666.4 N. = Wt. of skier. Fp = 666.4*sin32 = 353.1 N. = Force parallel with incline. Fn = 666.4*cos32 = 565.1 N. = Normal = Force perpendicular to the incline. Fk = u*Fn = 0.05 * 565.1 = 28.26 N. = Force of kinetic friction. Fp-Fk = m*a a=(Fp-Fk)/m =(353...
July 30, 2014

math
12x = 3x+150 + 300 12x - 3x = 450 9x = 450 X = 50 Shirts.
July 29, 2014

physics
a = (V^2-(Vo^2))/2d =(0-(22^2))/8 = -60.5m/s^2. a = (V-Vo)/t t = (V-Vo)/a = (0-22)/-60.5 = 0.364 s.
July 29, 2014

Physics
The resistance of the voltmeter should be large compared to the resistance across which the voltage is being measured. If not, the voltmeter will act as an addition load on the circuit resulting in a lower reading. The voltmeter should be connected in parallel with the ...
July 29, 2014

electric circuit
Fuses are always connected in series with the circuit. Therefore, its' resistance should be small compared to the resistance of the circuit. The circuit of an Ammeter has a much lower resistance than a Voltmeter. So the fuse in the Ammeter has a higher current rating. ...
July 29, 2014

physics
1. 60s. * 1Wave/0.27s. = 222 Waves.
July 28, 2014

PHYSICS
V = Vo + a*t = 4.50 m/s. Vo + (-2.7)*3 = 4.5 Vo = 4.5 + 8.1 = 12.6 m/s. D = Vo*t + 0.5a*t^2 D = 12.6*3 - 0.5*2.7*3^2 = 25.7 m.
July 28, 2014

Physics 2
1. The step-down transformer reduces the primary voltage by a factor equal to the turns ratio. For instance, if the turns ratio was 4:1, the voltage across the secondary would be 1/4 of the primary voltage. In a step-up transformer with a turns-ratio of 1:4, the voltage across...
July 28, 2014

physics
d1 = d2 + 100m. 60t = 40t + 100 60t-40t = 100 20t = 100 t = 5 Hours.
July 27, 2014

math
Y > 8-5 Y > 3
July 27, 2014

finance
Program A: (5000/100,000)*100 = 5%Profit. Program B: (10,000/220,000)*100 = 4.55% Profit.
July 27, 2014

Physics 2
L = 1 mm to 1m. L = V/F F = V/L = 3*10^8/1*10^-3m = 3*10^11 Hz. F = 3*10^8/1m = 3*10^8 Hz.
July 27, 2014

Physics 2
L = V/F F = V/L = 300*10^6/300 = 10^6 Hz = 1 mHz
July 27, 2014

physics
A. Np/Ns = Vp/Vs = 120/12 = 10/1. Turns Ratio = 10:1 Ts = Tp/10 To find the number of turns on the secondary(Ts), we need to know the number of turns on the primary(Tp). B. 120 * I = 6 W. Solve for I. Fr = 1/(2pi*Sqrt(LC) Fr = 1(6.28*Sqrt( 0.40*30*10^-9) = 8.33 Million Hertz...
July 27, 2014

science
d = (V^2-Vo^2)/2a=(0-(20^2)/-8.6=46.51 m = Stopping distance. d = 55+22+5 = 82 m. = Distance through intersection. d = Vo*t + 0.5a*t^2 = 20*(3-0.25) + 0.5*2*(3-0.25)^2=62.6 m. Therefore, the driver must step on the brakes; because he or she cannot drive the required 82 meters ...
July 27, 2014

physics
Wt. of Cart=m*g = 250kg * 9.8N/kg=2450 N Fp = 2450*sin50 = 1877 N. = Force Parallel to the incline. Fn = 2450*cos50 = 1575 N. = Normal force Fk = u*Fn = 0.22 * 1575 = 346.5 N. = Force of kinetic friction. Fe-Fp-Fk = m*a Fe-1877-346.5 = m*0 = 0 Fe-2223 = 0 Fe = 2223 N. = Force ...
July 27, 2014

trigonometry
Smaller Pulley: V=15rev/12s * 6.28rad/rev = 7.85 rad/s Larger Pulley: V = (6cm/20cm) * 7.85 = 2.36 rad/s.
July 26, 2014

physic
da = 0.5g*t^2 = 4.9*2^2=19.6 m. in 2 s. Va = Vo + g*t = 0 + 9.8*2 = 19.6 m/s in 2 s. Da = Db - 19.6 19.6t + 4.9t^2 = 30t + 4.9t^2 - 19.6 19.6t - 30t + 4.9t^2 - 4.9t^2 = -19.6 -10.4t = -19.6 t = 1.88 s. to reach gnd. h = 30t + 4.9t^2 = 30*1.88 + 4.9*1.88^2 = 73.9 m.
July 25, 2014

PHYSICS
Circumference=pi*2r = 3.14 * 20=62.83 m. d = (270o/360o) * 62.83m = 47.12 m. = Distance traveled. d = r*t = 47.12 m. r = 47.12/t = 47.12/20 = 2.36 m/s=Speed. Displacement = 10m[270] - 10[0o] -10 - 10i = -14.14m.[45o] = 14.14m[-45o]
July 23, 2014

Math
1344 = 1*1344 = 1*2*672 = 1*2*3*224 = 1*2*3*4*56 = 1*2*3*4*7*8. 1440 = 1*1440 = 1*2*720 = 1*2*3*240 = 1*2*3*4*60 = 1*2*3*4*5*12=1*2*3*4*5*6*2 2160 = 1*2160 = 1*2*1080 = 1*2*3*360 = 1*2*3*4*90 = 1*2*3*4*5*18=1*2*3*4*5*6*3 GCF = 4. 2. Income = $X. (1/10+1/3+1/5)X + 1320 = X (3/...
July 22, 2014

Math
1. 40%/100% = 40/100 = 2/5. 2. The largest side should be less than the sum of the two smaller sides: 9cm, 16cm, and 8cm. 16 < 9 + 8.
July 22, 2014

algebra
6x - (2/5) 6*0 - (2/5) = -2/5 6*1 - (2/5)=6/1 - 2/5 = 30/5 - 2/5=28/5. 6*2 - 2/5 = 12/1 - 2/5 = 60/5 - 2/5=58/5 (6x-2)/5 (6*0-2)/5 = -2/5 (6*1-2)/5 = 4/5 (6*2-2)/5 = 10/5 = 2.
July 22, 2014

Math
D. A,C,B,D.
July 22, 2014

Math 221
2 < Y <= 7.
July 20, 2014

mat/117
F(x) = -3x^2 + 3x + 9 = 0 Divide by -3: x^2 - x - 3 = 0 Use Quadratic Formula and get: X = 2.30, and -1.30 = Approx. 2, and 3.
July 20, 2014

physics
3[90o] + (-4) + F = 0 3i + (-4) + F = 0 F = 4 - 3i = 5N[-37o] = 5N[37o] S. of E. =5N[53o] E. of S.
July 20, 2014

math
X oz. of black beans. (X+180) oz. of red beans. Total = X + (X+180) = 2x + 180. X/(2x+180) = 0.20 x = 0.4x + 36 0.6x = 36 X = 60 Oz. of Black beans. X+180 = 60+180 = 240 Oz. of red beans. Total = 60 + 240 = 300 oz. of beans. 0.3 * 300 = 90 oz. of mixed beans.
July 17, 2014

math
We need the height. A = 2*W*h + 2*L*h A = 2*6*h + 2*9*h
July 16, 2014

math
A = 2.60*r^2 = 2.60 * 5^2 = 65 Ft.^2
July 16, 2014

trig
X = 60 Ft. = Run Y = Rise A = 21o Tan 21 = Y/X = Y/60 Y = 60*Tan 21 = 23.0 Ft. = Rise
July 16, 2014

physics
Ma*V = 1500*25 = 37,500 = Momentum of Boxcar A. (Ma+Mb)*V = 37,500 (1500+2000)V = 37,500 3500V = 37,500 V = 10.71 m/s.
July 14, 2014

physics
r = 60km/h = 60,000m/3600s. = 16.67 m/s. d = d1 + d2 d1 = r*t = 16.67m/s * 1s = 16.7 m. d2 = (V^2-Vo^2)/2a d2 = (0-(16.7)^2/-6 = 46.3 m. d = 16.7 + 46.3 = 63.0 m.
July 12, 2014

electric circuit
We can build 3 12V batteries: 36/12 = 3. We can connect them in parallel to make a 12V-4.5A battery: I = 3 * 1.5 = 4.5A. P = V*I = 12 * 4.5 = 54 Watts.
July 12, 2014

finance
Amount = -12-145+3.50+80 = -$73.50
July 11, 2014

PHYSICS
The given numbers doesn't make sense; please double check the numbers and show all units.
July 11, 2014

PHYSICS
m*g = 2kg * 9.8N/kg = 19.6 N. = Wt. of object being pushed. Fp = 19.6*sin50 = 15.0 N. = Force parallel to the incline. Fn = 19.6*cos50 = 12.6 N. = Normal = Force perpendicular to the incline. Fk = u*Fn = 0.40 * 12.6 = 5.0 N. = Force of kinetic friction. a=(Fap-Fp-Fk)/m = (50-...
July 11, 2014

environmental engineering
120Lbs/h * 454g/Lb. * 1h/3600s=15.13 g/s of flyash. 25Ft^3/s * 1m^3/35.94Ft^3 = 0.696 m^3/s. Concentration = 15.13g/s * 1s/0.696m^3 = 27.75 g/m^3 = 2.775*10^6 ug/m^3.
July 10, 2014

environmental engineering
a. 0.05mg/L * 8L = 0.40 mg. b. Yes, there are 0.05mg/L.
July 10, 2014

Physics
Same direction: I = I1 + I2. Opposite direction: I = I1 - I2.
July 9, 2014

physics
a=F/m = N[90o]/220 = 0.00455N[90o] m/s^2
July 9, 2014

physics
Reading=mg*sin A = 980*sin32.7 = 529 N. = Wt. parallel to the incline.
July 9, 2014

Physics
h = L*sin A = 8.33*sin 24.5 = 3.45 m. V^2 = Vo^2 + 2g*h V^2 = 4.12^2 + 19.6*3.45 = Solve for V.
July 8, 2014

Physics
u = 75/400 = 0.1875
July 8, 2014

Physics
d = 300 m = 0.3km t = 15 min. = 0.25 h. a. V = d/t = 0.3km/0.25h = 1.2 km/h c. Tan A = 4/1.2 = 3.333 A = 73.3o West of North due to wind. Heading = 73.3o East of North = 16.7o CCW. Vw + Vs = 1.2i -4 + Vs = 1.2i Vs = 4 + 1.2i = 4.18km/h[16.7o] CCW = 4.18km/h[76.3o] East of North.
July 8, 2014

mechanism physics
(m1+m2)V = m1*V1 (10+5)V = 10*10 Solve for V.
July 8, 2014

Math
P = (Po*r*t)/(1-(1+r)^-t) 2. Po = $146,800 r = (5.25%/12)/100% = 0.004375 = Monthly % rate. t = 30yrs. * 12mo./yr. = 360 Months. Plug the above values into the given Eq and get: P = $291,828.61 Monthly Payment = P/t 4. Same procedure as #2. 6. I = P-Po 8. I = P-Po
July 7, 2014

Physics
Vo = 26m/s[60o] Yo = 26*sin60 = 22.5 m/s. a. Y = Yo + g*Tr = 0 @ max. ht. Tr = -Yo/g = -22.5/-9.8 = 2.30 s. = Rise time. b. h max = -(Yo^2)/2g = -(22.5)^2/-19.6 = 25.83 m. h = 0.5g*t^2 = 25.83/2 = 12.91 m. 4.9t^2 = 12.91 t^2 = 2.64 Tf = 1.62 = Fall time. Tr+Tf = 2.30 + 1.62 = ...
July 7, 2014

Physics
A. Momentum = m*V. Case A: Change = 0 - mV = -mV. Case B: Change = -mV - mV = -2mV. Answer: Case B. B. Case A: a1 = -mV/T. Case B: a2 = -2mV/T. a2/a1 = (-2mV/T)/-mV/T = 2 a2 = 2a1. Answer: Case B.
July 7, 2014

Physics
a. KE = 0.5m*V^2 KE = 0.5*11300*19.3^2 = 2,104,569 J. b. Momentum = 5 * m*V = m1*V1 5 * 11,300*V = 11,300*19.3 56,500V = 218,090 V = 3.86 m/s. KE = 0.5*5m*V^2 KE = 0.5*5*11,300*3.86^2 = 420,914 J.
July 7, 2014

Physics
a. Momentum=m1*V1 = 12,400 * 7.7=95,480 b. Momentum = (m1+m2)*V = 95,480 m1 = 12,400 kg m2 = 18,700 kg Solve for V.
July 7, 2014

Math
P = Po - Po*r*t P = 2000 - 2000*(0.09/360)*181 P = 2000 - 90.50 = $1909.50 = Proceeds. Discount = $90.50
July 6, 2014

Math
P = Po + Po*r*t - 4,000 P = 12000 + 12000*(0.095/360)*30 - 4000 P = 12000 + 95 - 4000 = $8,095 Bal.=8,095+8095*(0.095/360)*60=$8,223.17 Due at maturity.
July 6, 2014

physics
F1 = 35 N. F2 = -45 N. a=(F1+F2)/m = (35 + (-45))/20=-0.5m/s^2= 0.5 m/s^2 To the left.
July 6, 2014

physics
300 mA = 0.300 Amps. 1 Amp = 6.241*10^18 electrons/s. 0.300 Amps = 1.872*10^18 electrons/s. 1.872*10^18e/s. * 180s = 3.37*10^20 Electrons pass through in 3 minutes.
July 6, 2014

physics
F = m*a = (50+250)*4 = 1200 N.
July 6, 2014

Math
P = (Po*r*t)/(1-(1+r)^-t). 100% 20% = 80% = 0.8 Po = 0.8 * 198,500 = $158,800 r = (5.75%/12)/100% = 0.00479 Monthly % rate. t = 25yrs. * 12mo/yr. = 300 Months. Plug the given values into the Eq and get: P = $299,706.29 I=P-Po=299,706.29 - 158,800=$140,906.29, Total. Monthly ...
July 4, 2014

Physics- check answer please
1. PE = mg*h = 15 *9.8*0.5 = 73.5 J. 2. 0.5*0.25*V^2 = 15 0.125V^2 = 15 V^2 = 120 V = 11 m/s. 3. KE1 = 0.5m*V^2 KE2 = 0.5*(0.5m)*(3V)^2 = 0.5*0.5m*9V^2 = 0.25m*9V^2 = 2.25m*V^2. KE2/KE1 = 2.25m*V^2/0.5m*V^2=4.5 = 9/2. 4. You didn't show the choices. However, PE = mg*h. ...
July 4, 2014

physics
Glad I could help.
July 4, 2014

physics
V1/V2 = cos35/sin35 = 1.428
July 4, 2014

physics
1. The solution is incomplete.
July 2, 2014

physics
1. Wt = m*g = 15kg * 9.8N/kg = 147 N. = Weight of trunk. Fk = u*mg = 0.58 * 147 = 85.26 N.=Force of kinetic friction. 2. Fap = 1300 N.? Mass = 236 kg u = 0.44 Wc = m*g = 236kg * 9.8N/kg = 2313 N. = Weight of crate. Fk = u*mg = 0.44 * 2313 = 1018 N. a=(Fap-Fk)/m=(1300-1018)/236...
July 2, 2014

Physics
h = (6/1) * 64 = 384 m.
July 2, 2014

math
Correction: n = 2yrs. * 2comp/yr. = 4 Compounding periods.
July 2, 2014

math
P = Po(1+r)^n = $125,000 r = (6%/2)/100% = 0.03 = Semi-annual % rate. n = 2yrs. + 2comp./yr. = 4 Compounding periods. Po(1.03)^4 = 125,000 Po = 125000/(1.03^4) = $111,060.88
July 2, 2014

Physics
F = m*a a = (V^2-Vo^2)/2d a = (0-(1.5^2))/4 = -0.5625 m/s^2. F = 42 * (-0.5625) = -23.63 N. The negative sign means the force opposes the motion.
July 2, 2014

science
r = 54km/h = 54000m/3600s = 15m/s. a = (V-Vo)/t = (-15-15)/10 = -30/10=-3.0 m/s^2.
July 2, 2014

physics
Vo = 46.3m/s[36o]. Xo = 46.3*cos36 = 37.5 m/s. Yo = 46.3*sin36 = 27.21 m/s. h = (Y^2-Yo^2)/2g = (0-(27.21^2))/-19.6= 37.8 m. Above gnd. Y = Yo + g*Tr = 0 Tr = -Yo/g = -27.21/-9.8 = 2.78 s. = Rise time. d = 0.5g*t^2 = 37.8-5.8 = 32 m. to fall 4.9t^2 = 32 t^2 = 6.53 Tf = 2.56 s ...
July 2, 2014

Science
Wb = m*g = 60kg * 9.8N/kg = 588 N. = Wt. of box. Fp = 588*sin25 = 248.5 N. = Force parallel to the slope. Fp-Fk = m*a 248.5-Fk = 60 * 2 = 120 Fk = 248.5 - 120 = 128.5 N. = Force of kinetic friction. Work = Fk * L = 128.5 * 10 = 1285 Joules
July 2, 2014

physics
d = 0.5a*t^2 = 0.5*0.02*8*2 = 0.64 m.
July 2, 2014

Physics- check answer please
1. F1 = 40*cos30=34.64 N., Horizontally. F2 = 40N., Horizontally. My answer: less than. 2. My answer: its'
July 2, 2014

science
Work = F*d = 440 * 5 = 2200 Joules.
July 2, 2014

math
P = (Po*r*t)/(1-(1+r)^-t) Po = $100,000 r = (4%/12)/100% = 0.003333 = Monthly % rate expressed as a decimal. t = 5yrs * 12mo./yr. = 60 Months. Plug the given values into the Eq and get: P = $110,499.13 = Pay-back amount. Interest=110,499.13 - 100000=$10,499.13 Monthly Payments...
July 1, 2014

mathematics of investment
Since no compounding frequency was given, I will assume simple interest. I = Po*r*t = $136.48 5000*(0.05/12)*t = 136.48 20.833t = 136.48 t = 6.6 Months.
July 1, 2014

Physics
a. Wb = m*g = 20kg * 9.8N/kg = 196 N. = Wt. of box. Fp = 196*sin30 = 98 N.=Force parallel to the incline. Fn = 196*cos30 = 169.7 N. = Normal or Force perpendicular to the incline. Fk = u*Fn = 0.2 * 169.7 = 33.95 N. = Force of kinetic friction. a = (Fp-Fk)/m = (98-33.95)/20=3....
June 30, 2014

math
(-2,4), (3,2) d^2 = (3-(-2))^2 + (2-4)^2 = 25+4 = 29 d = 5.39
June 30, 2014

Math
1. E(2,6), M(x,y), F(4.-2). m1 = (-2-6)/(4-2) = -8/2 = -4 m2 is the negative reciprocal of m1: m2 = 1/4 x = (2+4)/2 = 3 y = (6+(-2))/2 = 2 Y = mx + b = 2 (1/4)*x + b = 2 3/4 + b = 2 b = 2-3/4 = 5/4 Eq: Y = x/4 + 5/4 2. D(2,6), E(-2,-3), F(4,-6). m1 = (-3-6)/(-2-2) = -9/-4 = 9/...
June 30, 2014

algebra
post it.
June 30, 2014

Algebra
x^2 - 4x => 0 All values of x that gives an output equal to or greater than zero is part of the solution. Solve: x^2 - 4x = 0 x(x-4) = 0 x = 0 x-4 = 0 x = 4. Solution: 0 => X => 4. Graph: x^2 - 4x = 0 (x,y) (0,0) (0.5,-1.75) (1,-3) (1.5,-3.75) V(2,-4) (2.5,-3.75) (3,-...
June 30, 2014

physics
Vavg = (210+350)/2 = 280 m/s. t = d/V = 0.04/280 = 0.00014286 s. = 142.86 uS.
June 30, 2014

Physics
Correction: b. d=0.5a*t^2 = 0.5*4.20*2.5^2=13.125 m Revs = 13.125m * 1rev/1.76m = 7.46 c. V = 7.46rev/2.5s * 6.28rad/rev=18.73 rad/s. d. V=18.73rad/s * 1.76m/6.28rad=5.25m/s.
June 29, 2014

Physics
a. Circumference=pi*2r = 3.14 0.560=1.76 m. a=15rad/s^2 * 1.76m/6.28rad = 4.20 m/s^2 b. V = a*t = 4.20m/s^2 * 2.50s=10.51 m/s d = 0.5a*t^2 = 0.5*10.51*2.5^2 = 32.84 m Revs = 32.84m * 1rev/1.76m = 18.7 c. V = 18.7rev/2.5s * 6.28rad/rev = 46.9 rad/s. d. V = 46.9rad/s * 1.76m/6....
June 29, 2014

Physics
1. Vo = 10m/s[40o] Xo = 10*cos40 = 7.66 m/s. Yo = 10*sin40 = 6.43 m/s. Range = Xo*T = 24 m. 7.66 * T = 24 T = 3.13 s. = Fall time. h = Yo*T + 0.5g*T^2 h = 6.43*3.13 + 4.9*3.13^2 = 68.1 m.
June 27, 2014

Science
To avoid confusion, the sides of the triangle should use lower case letters: A = B+C a = 5 b = 4 c = 3 Angle between a and c = ? We have a 3-4-5 rt. triangle. A = B+C = 90o The longest side is always opposite the largest angle: a = hyp. = 5 Units. b = 4 Units. c = 3 Units. Tan...
June 27, 2014

Physics
V^2 = Vo^2 + 2a*d = 16^2 10^2 + 2a*200 = 256 400a = 256-100 = 156 a = 0.39 m/s^2.
June 27, 2014

math
a. DF =(1-r)^t DF = Decay Factor. r = Depreciation rate expressed as a decimal. t = Time in years. b. V = Vo*DF = Vo*(1-r)^t. V = Value after t years. Vo = Initial Value or value when new. c. V = 26,500(1-0.13)^10 = $6,583.22
June 27, 2014

physics
Let u = Vo = 10 m/s. g = 10 m/s^2. hmax=(V^2-Vo^2)/2g = (0-100)/-20 = 5 m. (3/4)hmax = (3/4)*5 = 3.75 m. V^2 = Vo^2 + 2g*h V^2 = 100 - 20*3.75 = 25 V = 5 m/s. @ (3/4)hmax. When h = 0, KE + PE = 0.5M*V^2 + 0 = 0.5M*V^2 = 0.5M*10^2 = 50M. = KE. M = Mass. When h = (3/4)hmax, KE...
June 27, 2014

math
Change = 22,682 - 20,128 = 2554 %Change = (2554/20128)*100% = 12.69% = 12.69% increase.
June 27, 2014

math
1. P1 = Po(1+r)^n Po = $2,000 r = 0.06 n = 35yrs * 1comp./yr. = 35 Compounding periods. P1 = 2000(1.06)^35 = $15,372.17 2. Use same Eq as above with a 25-yr. investment(60-35). P2 = Po(1+r)^n Difference = P1-P2. 3. Use your table and compare with calculated values below. P = 1...
June 26, 2014

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