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choli [55]
2 years ago
12

Both questions 7 and 8

Mathematics
1 answer:
Anna35 [415]2 years ago
6 0

9514 1404 393

Answer:

  7.  $10,459.28

  8.  $30,060.93

Step-by-step explanation:

Your table 12-2 will tell you the present-value multiplier of the annual payment for a 10-year annuity due will be ...

  7%: 7.515232

  11%: 6.537048

__

7. The 11% table value will be used with a payment of $1600 to find the present value:

  6.537048 × $1600 = $10,459.28 . . . present value of the annuity due

__

8. The 7% table value will be used with a payment of $4000 to find the present value:

  7.515232 × $4000 = $30,060.93 . . . present value of the annuity due

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Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.
IceJOKER [234]
In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

(x,0,0)\implies 18x+9\cdot0+0=18\implies x=1
(0,y,0)\implies 18\cdot0+9y+0=18\implies y=2
(0,0,z)\implies 18\cdot0+9\cdot0+z=18\implies z=18

Now that we know the vertices of the surface \mathcal S, we can parameterize it by

\mathbf s(u,v)=\langle(1-u)(1-v),2u(1-v),18v\rangle

where 0\le u\le1 and 0\le v\le1. The surface element is

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=2\sqrt{406}(1-v)\,\mathrm du\,\mathrm dv

With respect to our parameterization, we have x(u,v)=(1-u)(1-v), so the surface integral is

\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3
5 0
3 years ago
PLEASE HELP URGENT
Len [333]

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5 0
3 years ago
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What is the solution of the system of equations below?
egoroff_w [7]
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5 0
2 years ago
Alex invests $12,500 in a savings account that pays 2.75% interest compounded quarterly. how much money will he have in the acco
TiliK225 [7]
Total = Principal * (1 + (rate/n))^n*years
where n is the number of compounding periods per year
Total = 12,500 * (1 + (.0275/4) )^40
Total = 12,500 * <span>(1.006875) ^40
</span>Total = <span> <span> <span> 12,500 * 1.3152923995 </span> </span> </span>
Total = 16,441.16

Source:
http://www.1728.org/compint.htm


5 0
3 years ago
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Help on this one plz thanks!
marshall27 [118]
The answer is G because when the equation says y=0.1x, it means to divide the x by 10 and you will get your y value.
Also, nice carpet! Looks nice and soft to do homework on.

Good luck and I hope this helped!
3 0
3 years ago
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