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PilotLPTM [1.2K]
2 years ago
15

Carl plans to invest $500 at 8.25% interest, compounded continuously. How long will it take the money to triple?

Mathematics
1 answer:
gogolik [260]2 years ago
8 0
Use exponential growth equation.
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What is the length of the apothem of a regular hexagon with 10-cm sides?
vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
What is the square root of 529
Sunny_sXe [5.5K]

Answer:

23

Step-by-step explanation:

Because 23•23=529 so the square root of 529 is 23.

4 0
3 years ago
Please help me have to turn it in 30 minutes.
Anestetic [448]
24+15+11=50, the total number of times the markers were chosen.

Since 11 of these 50 tries resulted in a red and blue marker, the probability is 11/50. This is equal to 0.22 or 22%.
4 0
2 years ago
Every year Ethan ears 38,428. Every year he spends 21,728 on expenses. How much money should Ethan have leftover?
svlad2 [7]

Answer:

16,700

Step-by-step explanation:

38,428

_

21,728

=

16,700

4 0
3 years ago
Describe Henry's location relative to the library.
Evgen [1.6K]

Answer:

Part 1)

Henry's location is at the ordered pair (-3,4)

Libray's location is at the ordered pair (2,-3)

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair (-3,4)

Libray's location is at the ordered pair (2,-3)

Part 2) Describe Henry's location relative to the library

Observing the graph  

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

4 0
3 years ago
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