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bezimeni [28]
2 years ago
5

A woman prospecting for successful business travels 16km from a point P to a point Q on a bearing of 065°. She then travels to p

oint R, a distance 12km on a bearing 325°. Calculate PR
Mathematics
1 answer:
SashulF [63]2 years ago
8 0

Answer:

The distance PR is 21.6 Km

Step-by-step explanation:

Please find the attached document for explanation.

Also, I applied Cosine rule to determine the distance PR, since  i have an angle (Q) in between two given sides of the triangle.

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What is the value of h(3) multiplied by h(7)<br><br> P.S. I will give brainliest to the best answer
Eddi Din [679]

Answer:

21

Step-by-step explanation:

Because h(3) times h(7) is equal to 21.

Hope it helps!

4 0
2 years ago
When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
Hi! can someone help me with this please, i don’t really get it and need help. thanks so much
Gennadij [26K]
B. 18.7… each tic is worth .10
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!
liq [111]

9514 1404 393

Answer:

  a  Plane FGI

Step-by-step explanation:

A plane is named either by its designator (Q) or by three non-collinear points in the plane. Here, the point I must be used, as the other designated points in the plane are all on the same line. The appropriate choice is ...

  Plane FGI

4 0
2 years ago
Which equation could be used to find the missing value of x?
Murljashka [212]

Answer:

d

Step-by-step explanation:

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3 years ago
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