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3 years ago

You would like to have $41,000 in 5 years for the down payment on a new house

Mathematics

1 answer:

IRISSAK [1]3 years ago

3 0

Answer:

a. You are looking for an annuity that will give $41,000 in 5 years with a quarterly compounding rate of 4.25%.

Convert periods and interest to quarterly rate.

Period = 5 * 4 = 20 quarters

Interest = 4.25 / 4 = 1.0625‬%

41,000 = Annuity * ( [ 1 + i ] ^n - 1 )/i

41,000 = Annuity * ( [ 1 + 1.0625%]²⁰ - 1) / 1.0625%

41,000 = Annuity * 22.1534596596

Annuity = 41,000 / 22.1534596596

= $1,851

b. There were 20 payments of $1,851 made which totals:

= 1,851 * 20

Cash from deposits = $‭37,020‬

Cash from interest = 41,000 - ‭37,020‬ = $3,980

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The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean o

prohojiy [21]

Answer:

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

Step-by-step explanation:

For a normal random variable with mean Mu = 3.2 and standard deviation sd = 0.8 there is a distribution of the sample mean (MX) for samples of size 4, given by:

Z = (MX - Mu) / sqrt (sd ^ 2 / n) = (MX - 3.2) / sqrt (0.64 / 4) = (MX - 3.2) / 0.4

For a sample mean of 3.0, Z = (3 - 3.2) / 0.4 = -0.5

For a sample mean of 3.0, Z = (4 - 3.2) / 0.4 = 2.0

P (3.2 <MX <4) = P (-0.5 < Z <2.0) = 0.6687.

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

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3 years ago

Which of the equations below represents a line perpendicular to the x-axis?

Allushta [10]

Answer:

Option B

Step-by-step explanation:

we know that

A line perpendicular to the x-axis is a line parallel to the y-axis

the equation of the line is of the form x=(+/-)a

The slope of the line is undefined

where

a is a real number

therefore

x=6 is a line perpendicular to the x-axis

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3 years ago

Read 2 more answers

In AVWX, x = 5.7 inches, v = 4.5 inches and ZW=114°. Find the area of AVWX, to the

Rus_ich [418]

Answer:

144 i think

Step-by-step explanation:

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3 years ago

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$