The population of a community is known to increase at a rate proport.pdf
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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 11,000 after 3 years. What was the initial population P0? (Round your answer to one decimal place.) P0 = 1 What will be the population in 10 years? (Round your answer to the nearest person.) 2 persons How fast is the population growing at t = 10? (Round your answer to the nearest person.) 3 persons/year Solution dP/dt = P(t) P = ? P(t) dt P = e^(kt) So P(t) = P0*e^(kt) If P(5) = 2P0: P(5) = P0*e^(k5) 2P0 = P0*e^(5k) 2 = e^(5k) ln(2) = 5k k = ln(2)/5 P(t) = P0*e^(ln(2)t/5) P(t) = P0*2^(t/5) 2) P(t) = 11,000 when t = 3 P(3) = 11,000 P0*2^(3/5) = 11,000 P0 = 11000/(2^(3/5)) P0 = 7257.29, or rounded to 7257 P(10) = 7257*2^(10/5) P(10) = 7257*2.
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about $11,300.
about $38,000.
Compared to a generation ago, public aid programs that are likely to benefit families have
received:
less funding.
about the same level of funding.
no funding.
more funding.
There is considerable ________ among the quintiles of the distribution of income, with many
families moving from ________ and others moving from ________ quintiles.
immobility; lower to lower; higher to higher
immobility; lower to higher; higher to lower
stability; lower to higher; higher to higher
mobility; higher to lower; lower to higher
The ________ is widely used to measure income inequality.
median household income
ability-to-pay principle
poverty rate
Gini coefficient
Medicaid is funded by:
private charities.
federal and state governments.
state governments only.
the federal government only.
Private health insurance is funded by:
members of a large pool of individuals, each paying a fixed premium to a private company that
agrees to pay most of the medical expenses of the members.
tax contributions to Medicare.
the government.
people who are extremely ill who pay very high premiums.
n the United States, the government pays _______ of all medical costs.
between 70% and 80%
approximately 50%
100%
less than 20%
Which of the following programs represents in-kind transfers?
Medicaid
Temporary Assistance for Needy Families
the Earned Income Tax Credit
Social Security
Children raised in poverty have a greater likelihood of living in poverty as adults than do those
raised in nonpoor families, because low income is highly correlated with higher:
high school dropout rates.
high school dropout rates, risk of mental problems and behavioral disorders, and with higher
rates of illness and hospitalization.
risk of mental problems and behavioral disorders.
rates of illness and hospitalization.A.
about $25,600.B.
about $21,100.C.
about $11,300.D.
about $38,000.
Solution
1.B. about $21,100.
2.A. less funding
3.C. stability; lower to higher; higher to higher
4.D. Gini coefficient
Gini coefficient measure of statistical dispersion intended to represent the income distribution of
a nation\'s residents,
5.C. state governments only.
6.B. tax contributions to Medicare.
7.. B. approximately 50%
8.B. Temporary Assistance for Needy Families
9.B.high school dropout rates, risk of mental problems and behavioral disorders, and with higher
rates of illness and hospitalization..
The position of a particle P moving in the horizontal plane is descr.pdf
The position of a particle P moving in the horizontal plane is described by r(t)=(5t2i + 4te0.1tj)
m. Find the magnitude of the velocity at t=2 seconds. Specify your answer in m/s to 1 decimal
place
Solution
velocity is given by dr/dt
r(t)=(5t2i+ 4te0.1tj) m
dr/dt = 10t i + (0.4te0.1t + 4e0.1t) m/s
at t = 2 seconds ,
then ,
v = ( 20 i + 5.87 j ) m/s
magnitude of velocity = sqrt(20^2 + 5.87^2)
magnitude of velocity = 20.8 m/s
magnitude of the velocity at t=2 seconds is 20.8 m/s.
The population of Placerville grew from 4710 in 1980 to 7450 in 2000.pdf
The population of Placerville grew from 4710 in 1980 to 7450 in 2000. Find the absolute
change? and the relative change as a percentage?
Solution
Absolute change = 7450 - 4710 = 2740 Relative change = (2740/4710)*100 =
58.2% Hope this helps.
The population of a city is increasing such that a new water treatme.pdf
The population of a city is increasing such that a new water treatment plant is planned. Potential
source water for the plant is considered to have high concentrations of multivalent cations, high
suspended solids concentration (turbidity), and high pathogens concentration. What treatment
operations/processes would you recommend and why
Solution
Water treatment plants are kept for purification of water for drinking purpose
So for removal high concentration of multivalent ions , high suspended solids concentration and
highpathogens in water are removed by
1) Coagulation - alum is added to raw water to remove dirt and tiny particles
2) Sedimentation - removal of turbidity in water using sand filters
3) Filtration - To remove suspended particles in water
4) Disinfection = Removal of high pathogen concentration in water
5) Sludge drying - Solids collected in sedimentation and filtration are removed using dry lagoons
6) Flouridation = removal of flourine substance in water
7) Chlorination = Chlorine is added to remove high concentration of multivalent ions.
The probability of each value of a discrete random variable is betwe.pdf
The probability of each value of a discrete random variable is between -1.0 to +1.0
A. True
B. False
Please explain answer
Solution
FALSE. If X is the discrete random variable, then in order for this to meet the requirements of a
probability distribution, the probability of each value must satisfy
0 <= P(x) <= 1..
the probability density function of the random variable X is given b.pdf
the probability density function of the random variable X is given by f(x)={3x^2 for 0<=x<=1;0
elsewhere}
what is the probability that neither of two independent observations that the random variable X
may assume falls in the interval [1/3,2/3]
Solution
2/3*2/3 = 4/9.
The primary goal of analysis of variance methods is to ____ A. c.pdf
The primary goal of analysis of variance methods is to ____
A. compare of population means
B. compare of population variances
Solution
Answer: \"A. compare of population means.\" (It\'s trying to \"analyze\" whether
\"variations\" in population means can be explained by differences in some other variable.).
The previous help did not produce a correct answer.Archimedes Leve.pdf
The previous help did not produce a correct answer.
Archimedes Levers is financed by a mixture of debt and equity. You have the following
information about its cost of capital:
Calculate the rE, rA, E, D, and A.
I received the following response for rE &rA, which are not correct:
Re=Riskfree Rate+Beta*(Market Rate-Riskfree Rate)=10+1.6*(15-10)=18%
Ra=0.35*11+0.65*18=12.91%rE = ? %rD = 11%rA = ? %E = ?D = .2A = ?rf = 10 %rm =
15%D/V = .35
Solution
rE = rf + E * (rm - rf)
= 10% + 2.4 * (15% - 10%)
= 22%
D = (rD - rf) / (rm - rf)
= (12% - 10%) / (15% - 10%)
= 0.4
A = E/V * (E + D * D/E)
= 0.45 * (2.4 + 0.4 * 0.45/0.55)
= 1.23
rA = rf + A * (rm - rf)
= 10% +1.23 * (15% - 10%)
= 16.14%
Archimedes repurchases debt and issues equity
rE = rf + E * (rm - rf)
= 10% + 2.4 * (15% - 10%)
= 22%
D = (rD - rf) / (rm - rf)
= (11% - 10%) / (15% - 10%)
= 0.2
A = E/V * (E + D * D/E)
= 0.65 * (2.4 + 0.2 * 0.35/0.65)
= 1.63
rA = rf + A * (rm - rf)
= 10% +1.63 * (15% - 10%)
= 18.15%.
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