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just olya [345]
3 years ago
14

jose flies a kite 17 1/2 ft above the ground. he increases its elevation by 4 3/4 ft by letting out some string. then he reels i

n the string and changes its elevation by -15.8 ft. after jose reels in the string, what is the kite's elevation relative to the ground? show your work
Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer:

6.45 feet

Step-by-step explanation:

He starts 17 and 1/2 feet off the ground

Elevation relative to ground: 17 1/2

Then he increases the height by 4 and 3/4

Expression: 17 1/2 +4 3/4

Elevation relative to ground: 22 1/4

Next he decreases the elevation by 15.8 feet

Expression: 22.25-15.8

Elevation relative to ground: 6.45

The answer 6.45 feet from the ground

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3 years ago
Graph each function.<br> Which option is correct?
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Answer:

Answer is the second one

Step-by-step explanation:

Log

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7 0
4 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.

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3 years ago
What is the transformation of b (-4,8) when dilated by a scale of 2 using the origin as the center of dilation
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3 years ago
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30,49,30,44,40,35<br>Mean:<br>Mode:<br>Media:<br>Range:​
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Answer:

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median:37.5

range:19

Step-by-step explanation:

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3 years ago
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