Question

In 2011 a country's federal receipts (money taken in) totaled

$2.072.07 trillion. In 2013, total federal receipts were $2.932.93 trillion. Assume that the growth of federal receipts, F, can be modeled by an exponential function and use 2011 as the base year (tequals=0).

a) |
Find the growth rate k to six decimal places, and write the exponential function F(t), for total receipts in trillions of dollars. |

b) |
Estimate total federal receipts in 2015. |

c) |
When will total federal receipts be $1414 trillion? |

a) Find the growth rate k.

(Do not round until the final answer. Then round to six decimal places as needed.)

Write the exponential function F(t).

F(t)=

b) Estimate total federal receipts in 2015.

The total federal receipts in 2015 will be approximately=

trillion.

(Use the answer from part (a) to find this answer. Round to two decimal places as needed.)

c) When will total federal receipts be $1414 trillion?

The total federal receipts will be $1414 trillion approximately how many years after 2011?

(Use the answer from part (a) to find this answer. Round to one decimal place as needed.

Answer #1

In 2011 a country's federal receipts (money taken in) totaled
$2.32 trillion. In 2013, total federal receipts were $2.75
trillion. Assume that the growth of federal receipts, F, can be
modeled by an exponential function and use 2011 as the base year
(tequals0). a) Find the growth rate k to six decimal places,
and write the exponential function F(t), for total receipts in
trillions of dollars. b) Estimate total federal receipts in 2015.
c) When will total federal receipts be...

Solve the given problem related to population growth.
A city had a population of 23,100 in 2000 and a population of
26,000 in 2005.
(a) Find the exponential growth function for the city. Use
t = 0 to represent 2000. (Round k to five decimal
places.)
N(t) =
(b) Use the growth function to predict the population of the city
in 2015. Round to the nearest hundred.

The number of women graduating from 4-yr colleges in a
particular country grew from
19301930,
when
48 comma 75748,757
women earned a bachelor's degree, to
20032003,
when approximately
744 comma 000744,000
women received such a degree. Find an exponential function that
fits the data, and the exponential growth rate.
Find an exponential function that fits the data. Choose the
correct answer below.
A.
N(t)equals=e Superscript 0.037 te0.037t
B.
N(t)equals=48 comma 757 e Superscript 73 k48,757e73k
C.
N(t)equals=48 comma 75748,757e Superscript...

The consumer price index compares the costs, c, of goods and
services over various years. The same goods and services which cost
$100 in 1983 cost $243 in 2017. Assume that the consumer price
index follows a continuous exponential model (F =
Peit).
a. Find the function that
estimates the consumer price index, c, t years after 1983. Round
the growth rate to six decimal places.
b. Use your answer from part a to
estimate the year in...

Requirement 1a.
A.
In 2000, the population of a country was approximately 5.63
million and by 2060 it is projected to grow to
11 million. Use the exponential growth model
A=A0 ekt
in which t is the number of years after 2000 and A0
is in millions, to find an exponential growth function that models
the data.
B.
By which year will the population be 7 million?
Requirement 1b.
The exponential models describe the population of
the indicated country, A,...

Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 211 women,
r1 = 67 responded yes. Another random sample of
n2 = 162 men showed that r2
= 57 responded yes. Does this information indicate a difference
(either way) between the population proportion of women and the
population proportion of men who favor spending more federal tax
dollars on the arts? Use α = 0.05.
What is the value of the...

Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 89 politically
conservative voters, r1 = 20 responded yes.
Another random sample of n2 = 77 politically
moderate voters showed that r2 = 21 responded
yes. Does this information indicate that the population proportion
of conservative voters inclined to spend more federal tax money on
funding the arts is less than the proportion of moderate voters so
inclined? Use α = 0.05....

1. The consumer price index compares the costs, c, of goods and
services over various years. The same goods and services
which cost $100 in 1983 cost $243 in 2017. Assume that
the consumer price index follows a continuous exponential model (F
= Peit).
a. Find the function that
estimates the consumer price index, c, t years after
1983. Round the growth rate to six decimal
places. ____________
b. Use your answer from part
a to estimate the year in which the consumer price...

Estimating Share Value Using the DCF Model
Following are forecasts of Abercrombie & Fitch's sales, net
operating profit after tax (NOPAT), and net operating assets (NOA)
as of January 29, 2011. (Current-year NOPAT is lower due to
transitory items; we use a longer term estimate for NOPM of
8%.)
Reported
Horizon Period
(In millions)
2011
2012
2013
2014
2015
Terminal Period
Sales
$ 3,469
$ 3,989
$ 4,587
$ 5,275
$ 6,066
$ 6,187
NOPAT
152
319
367
422
485...

Estimating Share Value Using the ROPI Model
The following are forecasts of Abercrombie & Fitch's sales,
net operating profit after tax (NOPAT), and net operating assets
(NOA) as of January 29, 2011. Refer to the information in the table
to answer the following requirements.
Reported
Horizon Period
(In millions)
2011
2012
2013
2014
2015
Terminal Period
Sales
$ 3,469
$ 3,989
$ 4,587
$ 5,275
$ 6,066
$ 6,187
NOPAT
152
319
367
422
485
495
NOA
1,032
1,173
1,349...

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