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viva [34]
3 years ago
9

How do you find the length of an arc

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0
The total length around the circle = 2 pi r = 2*pi*16 = 32 pi 

Total degrees around the circle = 360 so 

length of the arc of measure 270  = 32 pi * 270/360 =  24 pi  units

or 75.40 units to the nearest hundredth
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Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the
77julia77 [94]

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

8 0
3 years ago
G = 1, h = 2<br><br> 7 + g − 8 + 2h + 4g
Slav-nsk [51]

Answer:

7+1-8+2(2)+4(1)

= -1+4+4

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5 0
2 years ago
There is something wrong with the reason. I don’t know what it is. Could someone help me. The picture of the figure is on the ne
stira [4]

9514 1404 393

Answer:

  CPCTC

Step-by-step explanation:

The applicable reason for statement 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".

The reason shown in your problem statement is applicable only within one triangle. The segments of interest are in two different triangles.

8 0
3 years ago
Read 2 more answers
Marcus earns 15% commission on his total sales at work.
IrinaVladis [17]

Answer:

Option C

Step-by-step explanation:

Given the following question:

Total cost is $725
15% Marcus makes in commission.

In order to find the answer, we have to find 15% of $725 and that number will be the total in commissions he earned that week.

\frac{15\times725}{100} =15\times725=10875\div100=108.75

Marcus makes "$108.75" or option C in commissions last week.

Hope this helps.

5 0
2 years ago
If the equation 3 + (-3) + 0 + (-6) + 2 + 1 = -3 is graphed on a number line using arrows, how many arrows will point to the lef
Novay_Z [31]

Answer:

the answer is a

Step-by-step explanation:

3 0
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