In place of t, or theta, I'm going to utilize x instead. So the equation is -3*cos(x) = 1. Get everything to one side and we have -3*cos(x)-1 = 0
Let f(x) = -3*cos(x)-1. The goal is to find the root of f(x) in the interval [0, 2pi]
I'm using the program GeoGebra to get the task done of finding the roots. In this case, there are 2 roots and they are marked by the points A and B in the attachment shown
A = (1.91, 0)
B = (4.37, 0)
So the two solutions for theta are
theta = 1.91 radians
theta = 4.37 radians
I don't see a drawing of the quadrilaterals, so I don't know what the perimeter of quadrilateral P is. But whatever the perimeter of P is, Q will be 1/3 of that. Perimeter is a length, so even though it may pertain to a 2-dimensional object, it is still a 1-dimensional, linear measure. When two objects are similar (same shape, but scaled up or down by a scale factor), all corresponding linear measures have the same scale factor.
If you were asked about area or volume, that would be a different matter. In the case of area, you would square the scale factor, and in the case of volume, you would cube the scale factor.
1=-8 l
4=100 l
7=? l
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The Compound Interest of 10400 at 12.7% for 4 years is 6378.
The principal amount is given as 10400.
The rate of interest is given as 12.7%.
The time period to be calculated is given as 4 years.
The compound interest for the given above is to be calculated.
<h3>What is
compound interest?</h3>
Compound interest is the interest that we earn both on the principal amount and the interest we earn.
The formula used to calculate compound interest is:
![P [ (1 + \frac{R}{100} )^n - 1 ]](https://tex.z-dn.net/?f=P%20%5B%20%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%29%5En%20-%201%20%5D)
Where P = principal amount, R = rate of interest, and n = number of years.
We have,
P = 10400
R = 12.7%
n = 4 years
Compound interest:
![P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]](https://tex.z-dn.net/?f=P%20%5B%20%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%29%5En%20-%201%20%5D%5C%5C%5C%5C10400%20%5B%20%281%20%2B%20%5Cfrac%7B12.7%7D%7B100%7D%20%29%5E4%20-%201%20%5D)
Now,
10400 [ ( 1 + 0.12.7 )^2 - 1 ]
10400 [ 1.127^4 - 1 ]
10400 [ 1.61322 - 1 ]
10400 x 0.6132
6377.56
Rounding to the nearest whole number.
We have,
Compound Interest = 6378.
Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.
Learn more about Compound Interest here:
brainly.com/question/13155407
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The pounds is 1.875 I'm not sure about oz
