Answer:
C
Step-by-step explanation:
cos(theta) is positive in IV quadrant and sin(theta)=sqrt(13^2-5^2)/13=-12/13
Answer:
A
Step-by-step explanation:
Looking at the function, we have;
V(t) = 1,000(1.06)^t
Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;
V = I(1 + r)^t
where V is the value of the investment after some certain number of years
I is the initial amount invested
r is the constant percentage increase
and t is the number of years.
Let’s now re-write what we can deduce in the question.
This is;
V(t) = 1000(1 + 0.06)^t
Thus what this 0.06 represents is r which is the constant interest rate
For the trapezoid, the equation used to solve for the area is,
A = (0.5)(b₁ + b₂)(h)
where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,
1224 = (0.5)(70.5 + 65.5)(h)
h = 18
Thus, the height of the counter top is 18 inches.
Answer:
The value of x is reciprocal of the difference of a and b.
Step-by-step explanation:
We are given the equation, 
On simplifying, we get,
i.e. 
i.e. 
i.e. 
So, we get,
The value of x is 
.
That is, the value of x is reciprocal of the difference of a and b.
Answer: $14.31
Step-by-step explanation:
Assuming it is the final price Natalie paid that you want:
Selling price = 0.9 * 15
= $13.50
To cater for tax it was then multiplied by 1.06:
= 13.5 * 1.06
= $14.31
