Answer:
About $735.03
Step-by-step explanation:
The compound interest formula is A=P(1+r/n)^nt
P is the original amount (principal)
r is the rate
n is the number of times compounded (1 for this one since it is annual)
and t is the time compounded
Answer:
V = 27/64 cubic inches
Step-by-step explanation:
Given the information in the photo:
- The height: 3/4 in
- The length : 3/4 in
- The width : 3/4 in
The volume of this solid using the formula
V=Bh where:
- h is the height
- B is the area of the base = The length * The width
=> The volume of this solid is:
V = 3/4 * 3/4 * 3/4
<=> V = 27/64 cubic inches
Hope it will find you well
Option a:
is the length of b
Explanation:
The angle of B is
and 
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,




Thus, the angle of A is 
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,

where
,
, 
Thus, we have,

Simplifying, we get,

Multiplying both sides by 0.866, we get,

Multiplying the numerator, we have,

Dividing, we get,

Thus, the length of b is 
Hence, Option a is the correct answer.
Use the linear slope formula to solve for m:
m=(y2-y1)/(x2-x1)
using the points (-1,1) and (1,5) you can find the slope for the first interval:
m=(5-1)/(1-(-1))
m=4/2
m=2
you can double check by using the same formula on the second interval, which is (1,5) to (3,9).
m=(9-5)/(3-1)
m=4/2
m=2
therefore, the rate of change is 2.