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RideAnS [48]
3 years ago
5

How long would it take a traveler to get from Lake Superior (Minnesota) to the Puget Sound?

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

Please include info on your lesson.

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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
Name the property. (6x4) x3 = 6x(4x3)​
Helga [31]

Answer:

Associative

Step-by-step explanation:

When three or more numbers are multiplied, the product is the same regardless of  the way in which the numbers are grouped.

6 0
3 years ago
Use the square to answer the question.
Studentka2010 [4]

Answer:

20 inches

Step-by-step explanation:

The correct answer is 20 because there is 4 sides and each side is worth of the length 5 so 5 times 4 - is what 20 . So the answer 20 is right . Hope this helps, you are welcome.

8 0
3 years ago
Does anybody know how to find the volume of. a prism. please help
olganol [36]
V = [1/2 x 5 x side x apothem] x height of the prism.
V=[ 1/2 x 5 x 7.1 x 5] x 15
V= 88.75 x 15
V= 1331.25
7 0
3 years ago
172 - 15x = 7 simply <br>​
tensa zangetsu [6.8K]

Answer:

172 - 15x = 7

-15x = 7 - 172

x = -165/-15

x = 11

7 0
3 years ago
Read 2 more answers
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