Answer:
yes
Step-by-step explanation:
it is 9/4 indeed.........
Answer:
680700
Step-by-step explanation:
this method can calculate more quickly
Answer:
The vector that describes their hike from their starting position to their final destination is
.
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>
![\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BA%7D%20%3D%203%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>
![\vec r_{B} = 4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BB%7D%20%3D%204%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
(1)
![\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%283%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%29%2B4%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
![\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%207%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is
.
Lets solve the problem through compound interest formula,
The number of months are 360
The account pay interest rate is 5.1 %compounded monthly.
The amount withdraws each month is $2154
The value of n is 360.
The value of is<em> i</em> is 5.1%
So,
![P = A [(1+i)^n]-1/i(1+i)^n\\\\P = $2,154 [(1+(0.051/12))^30*12] - 1 / (0.051/12)(1+(0.051/12))^30*12\\\\P = $396,721.78](https://tex.z-dn.net/?f=P%20%3D%20A%20%5B%281%2Bi%29%5En%5D-1%2Fi%281%2Bi%29%5En%5C%5C%5C%5CP%20%3D%20%242%2C154%20%5B%281%2B%280.051%2F12%29%29%5E30%2A12%5D%20-%201%20%2F%20%280.051%2F12%29%281%2B%280.051%2F12%29%29%5E30%2A12%5C%5C%5C%5CP%20%3D%20%24396%2C721.78)
Hence the value of principal is $396721.78
Learn more about Compound interest on:
brainly.com/question/18456266
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