Answer:
C. 18
Step-by-step explanation:
We can find the numbers of payments using following formula
PV = PMT(1- (1+r)^-n)/r
PVr / PMT = 1 - (1+r)^-n
Where
PV = present value = $1,100
PMT = monthly payments = $71.50
r = interest rate = 19.2% / 12 = 1.6%
n = numbers of month = ?
Placing values in the formula
(1+r)^-n = 1 - PVr /PMT
1.016^-n = 1-1100 x 0.016/71.50
1.016^-n = 0.753846154
-n x log 1.016 = log 0.753846154
n = - log 0.753846154 /log 1.016
n = 17.8
n = 18 payments
Answer:
See below
Step-by-step explanation:
The number you described is the same as 
where the sine of an angle is the ratio between a right triangle's opposite side to the angle and the hypotenuse. So, in this case, if we had a right triangle with a height of 
units and a hypotenuse of 2 units, the ratio between the two sides will result in the value you provided. This right triangle in particular would be a 30-60-90 triangle.
In the case of a unit circle, it’s the y-coordinate of the point where a 60° angle in the standard position intersects a unit circle and a right triangle is created from that.
Answer:
There are 66 number of dogs in Miss Mulero's backyard.
Step-by-step explanation:
Let's set up equation for the given information.
Let there are 'd' number of dogs
and 'c' number of cats.
So, we can set up equation as
d+c=124
d=c+8
Let's solve the system of equations for 'd' and 'c'.
Substitute d as c+8 into the first equation then solve for 'c'
c+8+c=124
Combine like terms
2 c+8=124
Subtract both sides 8
2 c = 116
Divide both sides by 2.
c= 58
Plug in c as 58 into d=c+8
d=58+8
d=66
So, there are 66 number of dogs in Miss Mulero's backyard.
Answer:
\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]
Step-by-step explanation:
Given is a matrix 3x3 as
![\left[\begin{array}{ccc}1&0&2\\-3&1&4\\2&-3&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%262%5C%5C-3%261%264%5C%5C2%26-3%264%5Cend%7Barray%7D%5Cright%5D)
|A| =2 hence inverse exists.
Cofactors are 16 20 7
6 8 3
2 2 1
Hence inverse =
![\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%266%262%5C%5C20%268%262%5C%5C7%263%261%5Cend%7Barray%7D%5Cright%5D)
Answer:
No they don't show direct variation because if you get y alone, the equation you get is in slope intercept form instead of direct variation.
Step-by-step explanation
direct variation: y=kx
y-x=4
+x +x
y= 4+x
Not Direct Variation
