Answer:
The correct answer is C. $ 1545.65
Step-by-step explanation:
Principle = $ 1349.34
Rate = 13.66 %
t = No. of times the interest is compounded in one year
⇒ t = 12 ( since it is given that the interest is compounded monthly so the interest is compounded 12 times in one year)
n = 1 year
where n = no. of years and t = No. of times the interest is compounded in one year
= 1349.34 × 1.15
= $ 1545.65
So, the correct answer is C
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)
In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:
Now we can simplify that:
And we know that:
cos^2(x) + sin^2(x) = 1
then:
Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,
Where, l is length and w is width.
Substituting the values, we get
Subtract 20 from both sides.
Divide both sides by
So, the length is
Therefore, the length of the rectangle is 13 cm.