Answer:
the slopes of f(x)and g(x)are the same
Step-by-step explanation:
Answer:
The value of annuity is 
Step-by-step explanation:
From the question we are told that
The periodic payment is 
The interest rate is 
Frequency at which it occurs in a year is n = 2 (semi-annually )
The number of years is 
The value of the annuity is mathematically represented as
(reference EDUCBA website)
substituting values
![P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%201500%20%2A%20%20%5B1%20%20-%20%281%20%2B%20%5Cfrac%7B0.08%7D%7B2%7D%20%29%5E%7B-22%20%2A%202%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7B0.08%7D%7B2%7D%20%29%7D%7B%20%5Cfrac%7B0.08%7D%7B2%7D%20%7D%20%5D)
![P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%201500%20%2A%20%20%5B1%20%20-%20%281.04%20%29%5E%7B-44%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281.04%20%29%7D%7B0.04%7D%20%5D)
![P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%201500%20%2A%20%20%5B1%20%20-%200.178%20%5D%20%2A%20%5B%5Cfrac%7B%281.04%20%29%7D%7B0.04%7D%20%5D)

The highest common factor of 24 and 45 is 3.
Answer:
0.8
Step-by-step explanation:
We are only considering the houses that have 2 bathrooms. There are a total of 30 of these houses.
Out of these 30, 24 have 3 bedrooms. This makes the probability 24/30, which is 0.8.
Answer:
The length of segment DA is 15 units
Step-by-step explanation:
- <em>The segment which joining a vertex of a triangle and the midpoint of the opposite side to this vertex is called a median </em>
- <em>The point of intersection of the median of a triangle divides each median into two parts the ratio between them is 1: 2 from the base, which means </em><em>the length of the median is 3 times the part from the base</em><em> </em>
Let us use this rule to solve the question
In Δ AEC
∵ D is the midpoint of EC
∴ AD is a median
∵ B is the midpoint of AC
∴ EB is a median
∵ F is the midpoint of AE
∴ CF is a median
→ The three medians intersected at a point inside the triangle,
let us called it M
∵ AD ∩ EB ∩ CF at M
∴ M is the point of intersection of the medians of Δ AEC
→ By using the rule above
∴ AD = 3 MD
∵ MD = 5
∴ AD = 3(5)
∴ AD = 15 units