Answer:
Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.
Step-by-step explanation:
<u><em>The question in English is</em></u>
Plan: "MY AUTO FOR TAXI"
Mr. Alberto decides to buy a car in order to perform taxi services. The price of the vehicle is S/45 000, but only S/20 000 is available. He then decides to finance the missing money through a bank. If between the two loan plans offered, you must choose one:
Which of the two options would you recommend to Mr. Alberto?
we know that
The compound interest formula is equal to
where
A is the total amount due
P is the amount owed
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
Plan I
substitute in the formula
Plan II
Compare
Plan I ----> t=2 years A=$27,562.50
Plan II----> t=3 years A=$27,318.18
therefore
Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.
the angle between the known sides is not right angle
Answer:
p1= 95, p2 = 180
Step-by-step explanation:
We have population : 50 given that population grows by 90% per year
So, After one year: new population (p1) will be
p1 = 50 + 50*0.9 = 50 + 45 = 95
Now, After two years: new population (p2) will be
p2 = 95 + 95*0.9 = 95 + 85.5 (approximately = 86) = 95 + 86 = 180
Therefore,
p1 = 95, and p2 = 180.
Answer:
2x-z=0 is the equation of the plane.
Step-by-step explanation:
Given that the plane passes through the points (1,0,2) and (-1,1,-2)
and also origin.
Hence equation of the plane passing through three points we can use
Any plane passing through 3 given points is given as
![\left[\begin{array}{ccc}x-x_1&y-y_1&z-z_1\\x_2-x_1&y_2-y_1&z_2-z_1\\x_3-x_1&y_3-y_1&z_3-z_1\end{array}\right] =0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-x_1%26y-y_1%26z-z_1%5C%5Cx_2-x_1%26y_2-y_1%26z_2-z_1%5C%5Cx_3-x_1%26y_3-y_1%26z_3-z_1%5Cend%7Barray%7D%5Cright%5D%20%3D0)
Substitute the three points to get
![\left[\begin{array}{ccc}x-1&y&z-2\\-1-1&1&-2-2\\0-1&0&0-2\end{array}\right] \\=0\\(x-1)(-2) -y(4-4)+(z-2)(1) =0\\-2x+z=0\\2x-z-=0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-1%26y%26z-2%5C%5C-1-1%261%26-2-2%5C%5C0-1%260%260-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D0%5C%5C%28x-1%29%28-2%29%20-y%284-4%29%2B%28z-2%29%281%29%20%3D0%5C%5C-2x%2Bz%3D0%5C%5C2x-z-%3D0)
2x-z=0 is the equation of the plane.