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RoseWind [281]
3 years ago
12

Please answer asap!!!

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

15/3

Step-by-step explanation:

.................................

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9:36 am (in the morning)
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find the present value that will grow to $7000 if the annual interest rate is 3.5% compounded quarterly for 9 uears
Gwar [14]
PV=FV/(1+i)^t

FV=7000, i=3.5%=0.035,t=9

put everything in the formula
PV=7000/(1+0.035)^9
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3x+11y=8 SOLVE FOR Y
viva [34]
3x + 11y = 8
-3x               -3x
11y = 8 - 3x 
/11        /11
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3 years ago
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Find a particular solution to y" - y + y = 2 sin(3x)
leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x

Substituting the value of , y, y' and y" in equation (1)

z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

     =e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}

Multiplying both sides of equation (1) by integrating factor and integrating we get

\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I

I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx

8 0
3 years ago
The balance owed on your credit card triples from $700 to $2100 in 12 months. If the balance is growing linearly then it would t
Fofino [41]

Answer:

If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Step-by-step explanation:

The exponential growth equation is:

f(x)=700(1+0.096)^{x}

Compute the value of f (x) for <em>x</em> = 45.4 as follows:

f(x)=700(1+0.096)^{x}

       =700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94

Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

5 0
3 years ago
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