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3 years ago

Find the value of r 4(x-3) -r +2x =5(3x-7) -9x Please help me

1 answer:

6 0

$4(x-3)-r+2x=5(3x-7)-9x\ \ \ |\text{use distributive property}\\\\(4)(x)+(4)(-3)-r+2x=(5)(3x)+(5)(-7)-9x\\\\4x-12-r+2x=15x-35-9x\\\\(4x+2x)-12-r=(15x-9x)-35\\\\6x-12-r=6x-35\ \ \ \ |-6x\\\\-12-r=-35\ \ \ \ |+12\\\\-r=-23\to\boxed{r=23}$

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Step-by-step explanation:

Parenthesis

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From left to right.

Do exponent first.

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625 is the correct answer.

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The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

Kryger [21]

Answer:

a) $P= $56,972.5$

b) $A=$1,26,792.3$

Step-by-step explanation:

Given Data:

Interest rate= $r= 0.08$ per year

No. of years= $t=10$

Rate of continuous money flow is given by the function

$f(t)=2000$

a) to find the present value of money

$P=\int\limits^n_0 {f(t)e^{-rt} } \, dt$

Put f(t)=2000 and n=10 years and r=0.08

$P=\int\limits^n_0 {2000e^{-0.08t} } \, dt$

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$P= {2000(\frac{e^{-0.08t}}{-0.08} )$

$P= -\frac{2000}{0.08} (e^{-0.08*10}-e^{-0.08*0})$

$P= -\frac{2000}{0.08} (e^{-0.8}-e^{0})$

$P= -\frac{2000}{0.08} (0.4493-2.7282)$

$P= -\frac{2000}{0.08} (-2.2789)$

$P= -25000(-2.2789)$

$P= $56972.5$

(b) to find the accumulated amount of money at t=10

$A=P(e^{rt} )$

Where P is the present worth already calculated in part a

$A=56972.5(e^{0.08*10} )$

$A=56972.5(e^{0.8} )$

$A=56972.5(2.2255 )$

$A=$1,26,792.3$

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3 years ago