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oksian1 [2.3K]
2 years ago
3

6.

Mathematics
1 answer:
Nata [24]2 years ago
4 0
PV = C* \frac{1- (1+r/n)^{-nt} }{r/n}

Where, PV = Present vale, C = Quarterly payments =$52,000, r = Annual interest rate = 8% = 0.08, n = Number of  payments per year = 4, t= time of payment in years = 5

Substituting,
PV = 52000* \frac{1-  (1+0.08/4)^{-4*5} }{0.08/4} = $85,027.53

The closest answer is $85,027.44
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Abraham throws a ball from a point 40 m above the ground. The height of the ball from the ground level after ‘t' seconds is defi
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Answer:

8.899s

Solve: -5t^+40t+40

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2 years ago
Connor has seven more nickels than dimes and twice as many quarters as dimes. If he has $6.20, how many nickels does he have?
Novosadov [1.4K]
Connor has 16 nickels. If you have 9 dimes (90 cents) and you doubled it that would give you 18 quarters ($4.50). you have 7 more nickels than dimes, so you do 7+9 which equals 16 nickels (80 cents). 90+450+80=620.
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Which statements about the hyperbola are true? Select two options.
timofeeve [1]

Answer:

The answer is B and E.

Step-by-step explanation:

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2 years ago
Let F(x, y, z) = (5ex sin(y))i + (5ex cos(y))j + 7z2k. Evaluate the integral C F · ds, where c(t) = 8 t , t3, exp( t ) , 0 ≤ t ≤
maria [59]

I'm going to assume this reads

\vec F(x,y,z)=5e^x\sin y\,\vec\imath+5e^x\cos y\,\vec\jmath+7z^2\,\vec k

and the path C is parameterized by

\vec c(t)=8t\,\vec\imath+t^3\,\vec\jmath+e^t\,\vec k

with 0\le t\le1. Under this parameterization,

\vec F(x,y,z)=\vec F(x(t),y(t),z(t))=5e^{8t}\sin(t^3)\,\vec\imath+5e^{8t}\cos(t^3)\,\vec\jmath+7e^{2t}\,\vec k

and

\mathrm d\vec c=\dfrac{\mathrm d\vec c}{\mathrm dt}\,\mathrm dt=(8\,\vec\imath+3t^2\,\vec\jmath+e^t\,\vec k)\,\mathrm dt

Then in the integral,

\displaystyle\int_C\vec F\cdot\mathrm d\vec s=\int_0^1\vec F(x(t),y(t),z(t))\cdot\frac{\mathrm d\vec c}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(7e^{3t}+15e^{8t}t^2\cos(t^3)+40e^{8t}\sin(t^3))\,\mathrm dt\approx\boxed{12586.5}

(It's unlikely that an exact answer can be found in terms of elementary functions)

4 0
2 years ago
The regular nonagon has rotational symmetry of which angle measures? Check all that apply. 40° 45° 120° 240° 260° 320°
asambeis [7]

Answer:

The correct answers are 40, 120, 240, and 320


Step-by-step explanation:

.

7 0
2 years ago
Read 2 more answers
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