1

# Lan, who is self-employed, contributes $\$ 2000$a month into a defined benefit retirement account earning interest at the rate of$r /$year compounded monthly. At... ## Question ###### Lan, who is self-employed, contributes$\$2000$ a month into a defined benefit retirement account earning interest at the rate of $r /$ year compounded monthly. At the end of 25 years, his account will be worth $$S=\frac{24,000\left[\left(1+\frac{r}{12}\right)^{300}-1\right]}{r}$$ dollars. a. Find the differential of $S$. b. Approximately how much more would lan's account be worth at the end of 25 years if his account earned 4.1\%/year instead of 4\%/year? 4.2\%/year instead of 4\%/year? 4

lan, who is self-employed, contributes $\$ 2000$a month into a defined benefit retirement account earning interest at the rate of$r /$year compounded monthly. At the end of 25 years, his account will be worth $$S=\frac{24,000\left[\left(1+\frac{r}{12}\right)^{300}-1\right]}{r}$$ dollars. a. Find the differential of$S\$. b. Approximately how much more would lan's account be worth at the end of 25 years if his account earned 4.1\%/year instead of 4\%/year? 4.2\%/year instead of 4\%/year? 4.3\%/year instead of 4\%/year? #### Similar Solved Questions

##### Suppose tne evel of calcium in the blood healthy young adults varies with mean Jbout milligrams per deciliter and standard deviation about clinic rura Guatemala measures the blood calcium level of 170 healthy pregnant women their first visit for Drenata care The mean is * 9.18_ Is this an indication that the mean Icium level in the population from which these women come dlffers from 9.1?(a) State Ho and Ha-9.1 mg/dl; Ha: M > 9.1 mg/dl Ho: M = 9.1 mg/dl; Ha: M + 9.1 mg/dl Ho: u < 9.1 mg/dl;
Suppose tne evel of calcium in the blood healthy young adults varies with mean Jbout milligrams per deciliter and standard deviation about clinic rura Guatemala measures the blood calcium level of 170 healthy pregnant women their first visit for Drenata care The mean is * 9.18_ Is this an indication...
##### Questan HelpIhe tolldwvino Jata Mrcidh CeTepregen-jiMprancomaton "ncse MzanCcmpWrat impac doeswancwidth oftra interval?Full dilil sclsam?inc 3nee5 Ihe VjuIhe interalrcrea;esData Set [Tho saiple sizo has inonciWnduninterul:As Itic; sin Dl: sizu inucies Ific: Wautirlervalcatcisc =(d} Suppose that the data valu 105 was accidentally _ ecoded inlenallusiric Am: rrisuerlaeruc dilil061 . For each data 3e: coneinic 3 95% confidenceData Set IIIConeinct 454- contaenc nentaEcund79Tha upper bounc Uecmn
Questan Help Ihe tolldwvino Jata Mrcidh Ce Tepregen-jiMp rancom aton "ncse Mzan Ccmp Wrat impac does wanc width oftra interval? Full dilil scl sam? inc 3nee5 Ihe Vju Ihe interalrcrea;es Data Set [ Tho saiple sizo has inonci Wndun interul: As Itic; sin Dl: sizu inucies Ific: Waut irlervalcatcisc...
##### FFindithe radius of convergence R of the series: 30 (xFind the interval of convergence / of the series. (Enter your answer using interval notation = 22 20Submit Answeri
FFindithe radius of convergence R of the series: 30 (x Find the interval of convergence / of the series. (Enter your answer using interval notation = 22 20 Submit Answeri...
##### 8ajec 3 5 3. ailerneb H 6 ldnuit Su& suoisniji I6mn Oxpothenced Eedlo Ieat hur nunotett Hzzbp H # 1 Mcan #Joiamio W H Eee8e 1 1 1 1 1 1 I 1 9 1
8ajec 3 5 3. ailerneb H 6 ldnuit Su& suoisniji I6mn Oxpothenced Eedlo Ieat hur nunotett Hzzbp H # 1 Mcan #Joiamio W H Eee8e 1 1 1 1 1 1 I 1 9 1...
##### Find the antiderivative F of f that satisfies the given condition_ Check your answer by comparing the graphs of f and F. f{x) = Sx" 2x5 , F(0) =+ 4
Find the antiderivative F of f that satisfies the given condition_ Check your answer by comparing the graphs of f and F. f{x) = Sx" 2x5 , F(0) = + 4...
##### 0/1 pointsPrevious Answers WaneAC6023_Evaluate the integral using integration by parts where possible. HINT [See Examples 1-3.] (Use C for the constant of integration:)t1/3 In t dt+CNeed Help?Read ItTalkto TutorShow My Work (Optlonal) '
0/1 points Previous Answers WaneAC6 023_ Evaluate the integral using integration by parts where possible. HINT [See Examples 1-3.] (Use C for the constant of integration:) t1/3 In t dt +C Need Help? Read It Talkto Tutor Show My Work (Optlonal) '...
##### Point) Suppose that f(t) is periodic with period and has the following real Fourier coefficients a0 2 @1 02 a3 b1 ~13 b2 = 4 b3 (A) Write the beginning of the real Fourier series of f(t) (through freguency 3): f(t)(B) Give the real Fourier coefficients for the following functions (i) The derivative f' (t) Q0 01 a2 03b3The function f(t) + 1 00 01a20362by(ii) The antiderivative of (f(t) + 1) (with C = 0) 00 01 0203b2b3(iv) The function f(t) + sin(t) 3 cos(2t) 00 01 02 b2 (iv) The function f(2
point) Suppose that f(t) is periodic with period and has the following real Fourier coefficients a0 2 @1 02 a3 b1 ~13 b2 = 4 b3 (A) Write the beginning of the real Fourier series of f(t) (through freguency 3): f(t) (B) Give the real Fourier coefficients for the following functions (i) The derivative...
##### Calculate the divergence and curl of the veclor fieldf(z,9,2) | (tan (4 2), cos (5 2) cos (3 2) )UUseltne notation (I, Y;2) to denole vectorsKfl
Calculate the divergence and curl of the veclor field f(z,9,2) | (tan (4 2), cos (5 2) cos (3 2) ) UUseltne notation (I, Y;2) to denole vectors Kfl...
##### The names and chemica formulae of some chemical compounds are written in the first two columns of the table below: Each compound is soluble in water Imagine that few tenths of mole of each compound dissolved in liter of water Then_ write down in the third column of the table the chemical formula of the major chemical species that will be present in this solution_ For examp you know water itself will be present, so you can begin each list with the chemical formula for water (H,o).Note: "majo
The names and chemica formulae of some chemical compounds are written in the first two columns of the table below: Each compound is soluble in water Imagine that few tenths of mole of each compound dissolved in liter of water Then_ write down in the third column of the table the chemical formula of ...
##### A sample of n = 4 scores has a variance of s2 = 64. What is theestimated standard error for the sample mean?A. sM = 1B. sM = 2C. sM = 4D. sM = 16
A sample of n = 4 scores has a variance of s2 = 64. What is the estimated standard error for the sample mean? A. sM = 1 B. sM = 2 C. sM = 4 D. sM = 16...
##### The magnelic feld Ustance 0 280.8 0 561,6 none tnese 0 702cm trom Jnq straight cunent-carrying wlre is 72 0 10^51 Knat the cuttentamcue3hdre Wro?
The magnelic feld Ustance 0 280.8 0 561,6 none tnese 0 702 cm trom Jnq straight cunent-carrying wlre is 72 0 10^51 Knat the cuttent amcue3h dre Wro?...
##### Use the product rule to differentiate each function flx)-xl' 2x2 | Nx) = (x" 2x+ Ilxz c) y = Jxlx" -x) hlt) = (6t 'Ust++ ') Fly) = vsy-4v+%) f) y = Vx(sx - 5x") 9) y-(?-1kx? -1) h) y-(2vx-5/xt_ 7x)
Use the product rule to differentiate each function flx)-xl' 2x2 | Nx) = (x" 2x+ Ilxz c) y = Jxlx" -x) hlt) = (6t 'Ust++ ') Fly) = vsy-4v+%) f) y = Vx(sx - 5x") 9) y-(?-1kx? -1) h) y-(2vx-5/xt_ 7x)...
##### 2. Consider the system=9+ sin y V = COST T - 1Find a conserved quantity by solving the differential equation by forming differential equation for dx (6) Show that the origin is a nonlinear center:
2. Consider the system =9+ sin y V = COST T - 1 Find a conserved quantity by solving the differential equation by forming differential equation for dx (6) Show that the origin is a nonlinear center:...
##### 4large power plant generates electricity at 12.0 kV Its old transforner once conrerted the voltage to 345kV. The secondary coil of this tran:Iormner being replaced 50 that its output can be 725kV for more efficient CIoss-country transmission on upgraded transmission lines_33% Part (a) What is the ratio of turns in the new secondary to the number of turns in the old secondary? 33% Part What is the ratio of new current output- the old current output for the same power input to the transformer? 33%
4large power plant generates electricity at 12.0 kV Its old transforner once conrerted the voltage to 345kV. The secondary coil of this tran:Iormner being replaced 50 that its output can be 725kV for more efficient CIoss-country transmission on upgraded transmission lines_ 33% Part (a) What is the r...
##### Using the data=C H(g) . AII? +51.9kJ mol:' 5? = 219.8 mol ' K"" COz(g) , AII? 3394.0 kJ mol ' So = 213.6 mol: H,O(), AH; -286.0 kJ mol 1 , S" = 69.96 mol-1 K-t 0z(g) . AlIS 0.00 kJ mol " S" = 205 mol-'K-1 calculate the maximum amount of useful work that can be obtained 25.0 %C, from the process: CzHa(g) Ox(g) COz(g) 2 HzO()1332 kJ 1380 kJ 1451 kJ 1492 kJ 2422 kJ
Using the data= C H(g) . AII? +51.9kJ mol:' 5? = 219.8 mol ' K"" COz(g) , AII? 3394.0 kJ mol ' So = 213.6 mol: H,O(), AH; -286.0 kJ mol 1 , S" = 69.96 mol-1 K-t 0z(g) . AlIS 0.00 kJ mol " S" = 205 mol-'K-1 calculate the maximum amount of useful work that...