Step 1
Given;
Step 2
A) she will owe
B) The effective annual rate is given as;
![\begin{gathered} R=(1+\frac{i}{n})^n-1 \\ R=[(1+\frac{0.082}{12})^{12}-1]\times100 \\ R=0.08515\times100=8.515\text{\%} \\ R\approx8.52\text{\%} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20R%3D%281%2B%5Cfrac%7Bi%7D%7Bn%7D%29%5En-1%20%5C%5C%20R%3D%5B%281%2B%5Cfrac%7B0.082%7D%7B12%7D%29%5E%7B12%7D-1%5D%5Ctimes100%20%5C%5C%20R%3D0.08515%5Ctimes100%3D8.515%5Ctext%7B%5C%25%7D%20%5C%5C%20R%5Capprox8.52%5Ctext%7B%5C%25%7D%20%5Cend%7Bgathered%7D)
Answer: x=0.6435011
Step-by-step explanation:
Take the inverse tangent of both sides of the equation to extract
x
from inside the tangent.
x
=
arctan
(
3
4
)
Evaluate
arctan
(
3
4
)
.
x
=
0.6435011
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from
π
to find the solution in the fourth quadrant.
x
=
(
3.14159265
)
+
0.6435011
Simplify the expression to find the second solution.
Tap for more steps...
x
=
3.78509376
Find the period.
Tap for more steps...
π
The period of the
tan
(
x
)
function is
π
so values will repeat every
π
radians in both directions.
x
=
0.6435011
+
π
n
,
3.78509376
+
π
n
, for any integer
n
Consolidate the answers.
x
=
0.6435011
+
π
n
, for any integer
n
A) You can have
1-1; 1-2; 1-3; 1-4; 1-5; 1-6; 2-2; 2-3; 2-4; 2-5; 2-6; 3-3; 3-4; 3-5; 3-6; 4-4; 4-5; 4-6; 5-5; 5-6; 6-6
Those are all possible outcomes
B) Only 6 of the options include at least one three
The fraction is: 6/21 or simplified 2/7
C) To find this answer we need a percentage
to find that...
6/21 and ?/100
(When writing put it as a fraction to visually see the next part)
We will cross-multiply: the ? will be represented by x
(6 times 100) + (21x)
600 = 21x
Now divide 600 by 21 to get about 28.6
Since 28.6 < 34 then we would get a probability of less than 34 out of 100
Basically what tou have to do in order to find this answer, is to find the rule. The rule in this partiular problem is 1.236 because 3.236-2=1.236. So since the rule is 1.236, all you have to do is 1.236 to 3.236 which is 2.472.
