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FinnZ [79.3K]
3 years ago
6

Maria Addai has been offered a future payment of $990 two years from now. If she can earn 8.2 percent compounded annually on her

investment, what should she pay for this investment today? (If you solve this problem with algebra round intermediate calculations to 4 decimal places, in all cases round your final answer to the nearest penny.)
Mathematics
2 answers:
ZanzabumX [31]3 years ago
8 0

Answer:

845.63

Step-by-step explanation:

hope it helps...

IgorLugansk [536]3 years ago
3 0

Answer:

845.6306

Step-by-step explanation:

Firstly this is annuity based

Let, investment at beginning of year = <em>x</em>

Then value at year 1 end = x + (8.2% \times x)

Value at end of year 2 = (x + 0.082x) + (8.2% \times (x + 0.082x))

Now this value = $990

Therefore,

990 =  (x + 0.082x) + ((x + 0.082x) \times 8.2%)

990 = x + 0.082x + 0.082x + 0.006724x = 1.170724x

x = 990/1.170724 = 845.6306

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<span>4 4/8 + 3/4
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3 years ago
Read 2 more answers
Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
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Please help me with math!
Lana71 [14]
B should be correct
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Answer:

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Step-by-step explanation:

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